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Volumn 1869, Issue , 2005, Pages 105-274

Stochastic interface models

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EID: 33746243519     PISSN: 00758434     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (111)

References (262)
  • 1
    • 0001805793 scopus 로고
    • Surface, structures and phase, transitions - Exact results
    • Academic Press. 172
    • D. ABRAHAM, Surface, structures and phase, transitions - exact results, In: Phase Transitions and Critical Phenomena, 10 (1986), pp. 1-74, Academic Press. 172
    • (1986) Phase Transitions and Critical Phenomena , vol.10 , pp. 1-74
    • Abraham, D.1
  • 3
    • 0035541772 scopus 로고    scopus 로고
    • Cube-root boundary fluctuations for droplets in random duster models
    • 172
    • K.S. ALEXANDER, Cube-root boundary fluctuations for droplets in random duster models, Commun. Math. Phys., 224 (2001), pp. 733-781. 172
    • (2001) Commun. Math. Phys. , vol.224 , pp. 733-781
    • Alexander, K.S.1
  • 4
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase, domain coarsening
    • 258
    • S.M. ALLEN AND J.W. CAHN, A microscopic theory for antiphase boundary motion and its application to antiphase, domain coarsening, Acta Metall., 27 (1979), pp. 1085-1095. 258
    • (1979) Acta Metall. , vol.27 , pp. 1085-1095
    • Allen, S.M.1    Cahn, J.W.2
  • 5
    • 33845404914 scopus 로고
    • Existence and regularity for a minimum problem with free boundary
    • 112, 165, 172
    • H.W. ALT AND L.A. CAFFARELLI, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math., 325 (1981), pp. 105-144, 112, 165, 172
    • (1981) J. Reine Angew. Math. , vol.325 , pp. 105-144
    • Alt, H.W.1    Caffarelli, L.A.2
  • 6
    • 84967774571 scopus 로고
    • Variational problems with two phases and their free boundaries
    • 112, 172
    • H.W. ALT, L.A. CAFFARELLI AND A. FRIEDMAN, Variational problems with two phases and their free boundaries, Trans. Amer. Math. Soc., 282 (1984), pp. 431-461. 112, 172
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 431-461
    • Alt, H.W.1    Caffarelli, L.A.2    Friedman, A.3
  • 7
    • 0033443150 scopus 로고    scopus 로고
    • On the distribution of the length of the longest increasing subsequence of random permutations
    • 261
    • J. BAIK, P. DEIFT AND K. JOHANSSON, On the distribution of the length of the longest increasing subsequence of random permutations, J. Amer. Math. Soc., 12 (1999), pp. 1119-1178. 261
    • (1999) J. Amer. Math. Soc. , vol.12 , pp. 1119-1178
    • Baik, J.1    Deift, P.2    Johansson, K.3
  • 8
    • 0001119849 scopus 로고
    • Diffusions hypercontractives
    • Séminaire de Probabilités XIX, Springer, 234
    • B. BAKRY AND M. EMERY, Diffusions hypercontractives, In: Séminaire de Probabilités XIX, Lect. Notes Math., 1123 (1985), Springer, pp. 179-206. 234
    • (1985) Lect. Notes Math. , vol.1123 , pp. 179-206
    • Bakry, B.1    Emery, M.2
  • 9
    • 0000093666 scopus 로고
    • A version of the fundamental theorem for Young measures
    • PDEs and continuum models of phase transitions (Nice, 1988), Springer, 187
    • J.M. BALL, A version of the fundamental theorem for Young measures, in PDEs and continuum models of phase transitions (Nice, 1988), Springer, Lecture Notes in Physics, 344 (1989), pp. 207-215. 187
    • (1989) Lecture Notes in Physics , vol.344 , pp. 207-215
    • Ball, J.M.1
  • 11
    • 84878078962 scopus 로고    scopus 로고
    • Metastability of the three-dimensional Ising model on a torus at very low temperatures
    • approx. (electronic). 258
    • G. BEN AROUS AND R. CERF, Metastability of the three-dimensional Ising model on a torus at very low temperatures, Electron. J. Probab., 1 (1996), approx. 55 pp. (electronic). 258
    • (1996) Electron. J. Probab. , vol.1
    • Ben Arous, G.1    Cerf, R.2
  • 12
    • 0039613680 scopus 로고    scopus 로고
    • The construction of the d + 1dimensional Gaussian droplet
    • 111, 164, 168
    • G. BEN AROUS AND J.-D. DEUSCHEL, The construction of the d + 1dimensional Gaussian droplet, Commun. Math. Phys., 179 (1996), pp. 467488. 111, 164, 168
    • (1996) Commun. Math. Phys. , vol.179 , pp. 467488
    • Ben Arous, G.1    Deuschel, J.-D.2
  • 14
    • 0040364155 scopus 로고    scopus 로고
    • Asymptotic survival probabilities in the random saturation process
    • 250
    • G. BEN AROUS AND A.P. RAMÍREZ, Asymptotic survival probabilities in the random saturation process, Arm. Probab., 28 (2000), pp. 1470-1527. 250
    • (2000) Arm. Probab. , vol.28 , pp. 1470-1527
    • Ben Arous, G.1    Ramírez, A.P.2
  • 15
    • 0009309255 scopus 로고
    • DLR measures for onedimensional harmonic systems
    • 131, 135
    • G. BENFATTO, E. PHESUTTI AND M. PULVIRENTI, DLR measures for onedimensional harmonic systems, Z. Wahr. verw. Gebiete, 41 (1978), pp. 305-312. 131, 135
    • (1978) Z. Wahr. Verw. Gebiete , vol.41 , pp. 305-312
    • Benfatto, G.1    Phesutti, E.2    Pulvirenti, M.3
  • 17
    • 0031184916 scopus 로고    scopus 로고
    • Derivation of Calm-Hilliard equations from Ginzburg-Landau models
    • 235
    • L. BERTINI, C. LANDIM AND S. OLLA, Derivation of Calm-Hilliard equations from Ginzburg-Landau models, J. Statis. Phys., 88 (1997), pp. 365-381. 235
    • (1997) J. Statis. Phys. , vol.88 , pp. 365-381
    • Bertini, L.1    Landim, C.2    Olla, S.3
  • 18
    • 0036882778 scopus 로고    scopus 로고
    • Enhanced interface repulsion from quenched hard-wall randomness
    • 196, 243
    • D. BERTACCHI AND G. GIACOMIN, Enhanced interface repulsion from quenched hard-wall randomness, Probab. Theory Relat. Fields, 124 (2002), pp. 487-516. 196, 243
    • (2002) Probab. Theory Relat. Fields , vol.124 , pp. 487-516
    • Bertacchi, D.1    Giacomin, G.2
  • 19
    • 0742306526 scopus 로고    scopus 로고
    • Wall repulsion and mutual, interface repulsion: An harmonic crystal model in high dimensions
    • 196
    • D. BERTACCHI AND G. GIACOMIN, Wall repulsion and mutual, interface repulsion: an harmonic crystal model in high dimensions, Stoch. Proc. Appl., 110 (2004), pp. 45-66. 196
    • (2004) Stoch. Proc. Appl. , vol.110 , pp. 45-66
    • Bertacchi, D.1    Giacomin, G.2
  • 20
    • 0033473098 scopus 로고    scopus 로고
    • The Wulff construction in three, and more dimensions
    • 110
    • T. BODINEAU, The Wulff construction in three, and more dimensions, Commun. Math. Phys., 207 (1999), pp. 197-229. 110
    • (1999) Commun. Math. Phys. , vol.207 , pp. 197-229
    • Bodineau, T.1
  • 21
    • 0035534234 scopus 로고    scopus 로고
    • On entropic reduction of fluctuations
    • 195
    • T. BODINEAU, G. GIACOMIN AND Y. VELENIK, On entropic reduction of fluctuations, J. Statist. Phys., 102 (2001), pp. 1439-1445. 195
    • (2001) J. Statist. Phys. , vol.102 , pp. 1439-1445
    • Bodineau, T.1    Giacomin, G.2    Velenik, Y.3
  • 22
    • 0034345434 scopus 로고    scopus 로고
    • Rigorous probabilistic analysis of equilibrium crystal shapes
    • 110, 172
    • T. BODINEAU, D. IOFFE AND Y. VELENIK, Rigorous probabilistic analysis of equilibrium crystal shapes, J. Math. Phys., 41 (2000), pp. 1033-1098. 110, 172
    • (2000) J. Math. Phys. , vol.41 , pp. 1033-1098
    • Bodineau, T.1    Ioffe, D.2    Velenik, Y.3
  • 25
    • 34250105416 scopus 로고
    • Laplace approximations for sums of independent random vectors, Part II. Degenerate maxima and manifolds of maxima
    • 258
    • E. BOLTHAUSEN, Laplace approximations for sums of independent random vectors, Part II. Degenerate maxima and manifolds of maxima, Probab. Theory Relat. Fields, 76 (1987), pp. 167-206. 258
    • (1987) Probab. Theory Relat. Fields , vol.76 , pp. 167-206
    • Bolthausen, E.1
  • 26
    • 33748860353 scopus 로고    scopus 로고
    • Large deviations and perturbations of random walks and random surfaces
    • Budapest
    • E. BOLTHAUSEN, Large deviations and perturbations of random walks and random surfaces, European Congress of Mathematics, Vol. I (Budapest, 1996), pp. 108-120,
    • (1996) European Congress of Mathematics , vol.1 , pp. 108-120
    • Bolthausen, E.1
  • 27
    • 33748846469 scopus 로고    scopus 로고
    • Birkhäuser
    • Progr. Math., 168, Birkhäuser, 1998. 202
    • (1998) Progr. Math. , vol.168 , pp. 202
  • 28
    • 0001715572 scopus 로고
    • Critical large deviations for Gaussian fields in the phase transition regime I
    • 189
    • E. BOLTHAUSEN AND J.-D. DEUSCHEL, Critical large deviations for Gaussian fields in the phase transition regime I, Ann. Probab., 21 (1993), pp. 1876-1920. 189
    • (1993) Ann. Probab. , vol.21 , pp. 1876-1920
    • Bolthausen, E.1    Deuschel, J.-D.2
  • 29
    • 0035470876 scopus 로고    scopus 로고
    • Entropic repulsion and the maximum of two dimensional harmonic crystal
    • 195
    • E. BOLTHAUSEN, J.-D. DEUSCHEL AND G. GIACOMIN, Entropic repulsion and the maximum of two dimensional harmonic crystal, Ann. Probab., 29 (2001), pp. 1670-1692. 195
    • (2001) Ann. Probab. , vol.29 , pp. 1670-1692
    • Bolthausen, E.1    Deuschel, J.-D.2    Giacomin, G.3
  • 30
    • 21844524101 scopus 로고
    • Entropic repulsion of the lattice free field
    • (Erratum: ibid, 209 (2000), pp. 547-548). 112, 196
    • E. BOLTHAUSEN, J.-D. DEUSCHEL AND O. ZEITOUNI, Entropic repulsion of the lattice free field, Commun. Math. Phys., 170 (1995), pp. 417-443 (Erratum: ibid, 209 (2000), pp. 547-548). 112, 196
    • (1995) Commun. Math. Phys. , vol.170 , pp. 417-443
    • Bolthausen, E.1    Deuschel, J.-D.2    Zeitouni, O.3
  • 31
    • 0034345437 scopus 로고    scopus 로고
    • Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger
    • 112, 199, 200, 202
    • E. BOLTHAUSEN, J.-D. DEUSCHEL AND O. ZEITOUNI, Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger, J. Math. Phys., 41 (2000), pp. 1211-1223. 112, 199, 200, 202
    • (2000) J. Math. Phys. , vol.41 , pp. 1211-1223
    • Bolthausen, E.1    Deuschel, J.-D.2    Zeitouni, O.3
  • 32
    • 0031549246 scopus 로고    scopus 로고
    • Harmonic crystal on the wall: A microscopic approach
    • 112, 170, 199, 202
    • E. BOLTHAUSEN AND D. IOFFE, Harmonic crystal on the wall: a microscopic approach, Commun. Math. Phys., 187 (1997), pp. 523-566. 112, 170, 199, 202
    • (1997) Commun. Math. Phys. , vol.187 , pp. 523-566
    • Bolthausen, E.1    Ioffe, D.2
  • 33
    • 0035537371 scopus 로고    scopus 로고
    • Critical behavior of the massless free field at the depinning transition
    • 112, 197, 198
    • E. BOLTHAUSEN AND Y. VELENIK, Critical behavior of the massless free field at the depinning transition, Commun. Math. Phys., 223 (2001), pp. 161-203. 112, 197, 198
    • (2001) Commun. Math. Phys. , vol.223 , pp. 161-203
    • Bolthausen, E.1    Velenik, Y.2
  • 34
    • 49549132663 scopus 로고
    • On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
    • 146
    • H.J. BRASCAMP AND E.H. LIEB, On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation, J. Funct. Anal., 22 (1976), pp. 366-389. 146
    • (1976) J. Funct. Anal. , vol.22 , pp. 366-389
    • Brascamp, H.J.1    Lieb, E.H.2
  • 36
    • 0032271311 scopus 로고    scopus 로고
    • Interface fluctuations for the D = 1 stochastic Ginzburg-Landau equation with nonsymmetric reaction term
    • 257
    • S. BHASSESCO AND P. BUTTA, Interface fluctuations for the D = 1 stochastic Ginzburg-Landau equation with nonsymmetric reaction term, J. Statist. Phys., 93 (1998), pp. 1111-1142. 257
    • (1998) J. Statist. Phys. , vol.93 , pp. 1111-1142
    • Bhassesco, S.1    Butta, P.2
  • 37
    • 0002637757 scopus 로고
    • Brownian fluctuations of the instanton in the d = 1 Ginzburg-Landau equation with noise
    • 257
    • S. BRASSESCO, A. DE MASI AND E. PRESUTTI, Brownian fluctuations of the instanton in the d = 1 Ginzburg-Landau equation with noise, Ann. Inst. Henri Poincaré, 31 (1995), pp. 81-118. 257
    • (1995) Ann. Inst. Henri Poincaré , vol.31 , pp. 81-118
    • Brassesco, S.1    De Masi, A.2    Presutti, E.3
  • 39
    • 0000900222 scopus 로고
    • Random, surfaces in statistical mechanics: Roughening, rounding, wetting,...
    • 196
    • J. BRICMONT, A. EL MELLOUKI AND J. FRÖHLICH, Random, surfaces in statistical mechanics: roughening, rounding, wetting,..., J. Statist. Phys., 42 (1986), pp. 743-798. 196
    • (1986) J. Statist. Phys. , vol.42 , pp. 743-798
    • Bricmont, J.1    El Mellouki, A.2    Fröhlich, J.3
  • 40
    • 0009339724 scopus 로고
    • Lattice systems with a continuous symmetry, I. Perturbation theory for unbounded spins
    • 139, 151
    • J. BRICMONT, J.-R. FONTAINE, J.L. LEBOWITZ AND T. SPENCER, Lattice systems with a continuous symmetry, I. Perturbation theory for unbounded spins, Commun. Math. Phys., 78 (1980), pp. 281-302. 139, 151
    • (1980) Commun. Math. Phys. , vol.78 , pp. 281-302
    • Bricmont, J.1    Fontaine, J.-R.2    Lebowitz, J.L.3    Spencer, T.4
  • 41
    • 33748856857 scopus 로고
    • Lattice systems with a continuous symmetry, II. Decay of correlations
    • 151
    • J. BRICMONT, J.-R. FONTAINE, J.L. LEBOWITZ AND T. SPENCER, Lattice systems with a continuous symmetry, II. Decay of correlations, Commun. Math. Phys., 78 (1981), pp. 363-371. 151
    • (1981) Commun. Math. Phys. , vol.78 , pp. 363-371
    • Bricmont, J.1    Fontaine, J.-R.2    Lebowitz, J.L.3    Spencer, T.4
  • 42
    • 11544372159 scopus 로고
    • The random walk representation of classical spin systems and correlation inequalities
    • 198
    • D. BRYDGES, J. FRÖHLICH AND T. SPENCER, The random walk representation of classical spin systems and correlation inequalities, Commun. Math. Phys., 83 (1982), pp. 123-150. 198
    • (1982) Commun. Math. Phys. , vol.83 , pp. 123-150
    • Brydges, D.1    Fröhlich, J.2    Spencer, T.3
  • 43
    • 0000494310 scopus 로고
    • Grad φ perturbations of massless Gaussian fields
    • 151
    • D. BRYDGES AND H.-T. YAU, Grad φ perturbations of massless Gaussian fields, Commun. Math. Phys., 129 (1990), pp. 351-392. 151
    • (1990) Commun. Math. Phys. , vol.129 , pp. 351-392
    • Brydges, D.1    Yau, H.-T.2
  • 44
    • 84966198519 scopus 로고
    • A free-boundary problem for the heat equation arising in flame propagation
    • 244
    • L.A. CAFFARELLI AND J.L. VÁZQUEZ, A free-boundary problem for the heat equation arising in flame propagation, Trans. Amer. Math. Soc., 347 (1995), pp. 411-441. 244
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 411-441
    • Caffarelli, L.A.1    Vázquez, J.L.2
  • 45
    • 0000038219 scopus 로고    scopus 로고
    • Uniform estimates and limits for a two phase parabolic singular perturbation problem
    • 244
    • L.A. CAFFARELLI, C. LEDERMAN AND N. WOLANSKI, Uniform estimates and limits for a two phase parabolic singular perturbation problem, Indiana Univ. Math. J., 46 (1997), pp. 453-489. 244
    • (1997) Indiana Univ. Math. J. , vol.46 , pp. 453-489
    • Caffarelli, L.A.1    Lederman, C.2    Wolanski, N.3
  • 46
    • 0000412758 scopus 로고    scopus 로고
    • Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem
    • 244
    • L.A. CAFFARELLI, C. LEDERMAN AND N. WOLANSKI, Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem, Indiana Univ. Math. J., 46 (1997), pp. 719-740. 244
    • (1997) Indiana Univ. Math. J. , vol.46 , pp. 719-740
    • Caffarelli, L.A.1    Lederman, C.2    Wolanski, N.3
  • 47
    • 0034363984 scopus 로고    scopus 로고
    • Large deviations and variational principle for harmonic crystals
    • 191
    • P. CAPUTO AND J.-D. DEUSCHEL, Large deviations and variational principle for harmonic crystals, Commun. Math. Phys., 209 (2000), pp. 595-632. 191
    • (2000) Commun. Math. Phys. , vol.209 , pp. 595-632
    • Caputo, P.1    Deuschel, J.-D.2
  • 48
    • 0035533087 scopus 로고    scopus 로고
    • Critical large deviations in harmonic crystals with long-rangs interactions
    • 191
    • P. CAPUTO AND J.-D. DEUSCHEL, Critical large deviations in harmonic crystals with long-rangs interactions, Ann. Probab., 29 (2001), pp. 242-287. 191
    • (2001) Ann. Probab. , vol.29 , pp. 242-287
    • Caputo, P.1    Deuschel, J.-D.2
  • 49
    • 0037402956 scopus 로고    scopus 로고
    • Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder
    • 158
    • P. CAPUTO AND D. IOFFE, Finite volume approximation of the effective diffusion matrix: the case of independent bond disorder, Ann. Inst. H. Poincaré, 39 (2003), pp. 505-525. 158
    • (2003) Ann. Inst. H. Poincaré , vol.39 , pp. 505-525
    • Caputo, P.1    Ioffe, D.2
  • 50
    • 0000667322 scopus 로고    scopus 로고
    • A note on wetting transition for gradient fields
    • 112, 176, 199, 200
    • P. CAPUTO AND Y. VELENIK, A note on wetting transition for gradient fields, Stoch. Proc. Appl., 87 (2000), pp. 107-113. 112, 176, 199, 200
    • (2000) Stoch. Proc. Appl. , vol.87 , pp. 107-113
    • Caputo, P.1    Velenik, Y.2
  • 51
    • 0001204664 scopus 로고
    • Upper bounds for symmetric Markov transition functions
    • 137
    • E.A. CARLEN, S. KUSUOKA AND D.W. STROOCK, Upper bounds for symmetric Markov transition functions, Ann. Inst. H. Poincaré, 23 (1987), pp. 245-287. 137
    • (1987) Ann. Inst. H. Poincaré , vol.23 , pp. 245-287
    • Carlen, E.A.1    Kusuoka, S.2    Stroock, D.W.3
  • 52
    • 0035429779 scopus 로고    scopus 로고
    • The tow-temperature expansion of the Wulff crystal in the 3D Ising model
    • 172, 259
    • R. CERF AND R. KENYON, The tow-temperature expansion of the Wulff crystal in the 3D Ising model, Commun. Math. Phys., 222 (2001), pp. 147-179. 172, 259
    • (2001) Commun. Math. Phys. , vol.222 , pp. 147-179
    • Cerf, R.1    Kenyon, R.2
  • 53
    • 0034214575 scopus 로고    scopus 로고
    • On the Wulff crystal in the hing model
    • 110, 172
    • R. CERF AND A. PISZTORA, On the Wulff crystal in the hing model, Ann. Probab., 28 (2000), pp. 947-1017. 110, 172
    • (2000) Ann. Probab. , vol.28 , pp. 947-1017
    • Cerf, R.1    Pisztora, A.2
  • 54
    • 0042238349 scopus 로고    scopus 로고
    • Phase coexistence in Ising, Potts and percolation models
    • 172
    • R. CERF AND A. PISZTORA, Phase coexistence in Ising, Potts and percolation models, Ann. Inst. H. Poincaré, 37 (2001), pp. 643-724. 172
    • (2001) Ann. Inst. H. Poincaré , vol.37 , pp. 643-724
    • Cerf, R.1    Pisztora, A.2
  • 55
    • 0039270597 scopus 로고    scopus 로고
    • On the layering transition of an SOS surface interacting with a wall, I. Equilibrium results
    • 118
    • F. CESI AND F. MARTINELLI, On the layering transition of an SOS surface interacting with a wall, I. equilibrium results, J. Statis. Phys., 82 (1996), pp. 823913. 118
    • (1996) J. Statis. Phys. , vol.82 , pp. 823913
    • Cesi, F.1    Martinelli, F.2
  • 56
    • 0030526155 scopus 로고    scopus 로고
    • On the layering transition of an SOS surface, interacting with a wall, II. The Glauber dynamics
    • 118
    • F. CESI AND F. MARTINELLI, On the layering transition of an SOS surface, interacting with a wall, II. the Glauber dynamics, Commun. Math. Phys., 177 (1996), pp. 173-201. 118
    • (1996) Commun. Math. Phys. , vol.177 , pp. 173-201
    • Cesi, F.1    Martinelli, F.2
  • 57
    • 0000295529 scopus 로고
    • Fluctuations of one dimensional Ginzburg-Landau models in noneguilibrium
    • 231
    • C.C. CHANG AND H.-T. YAU, Fluctuations of one dimensional Ginzburg-Landau models in noneguilibrium, Commun. Math. Phys., 145 (1992), pp. 209-239. 231
    • (1992) Commun. Math. Phys. , vol.145 , pp. 209-239
    • Chang, C.C.1    Yau, H.-T.2
  • 58
    • 0030485947 scopus 로고    scopus 로고
    • Hydrodynamic limits for one-dimensional particle systems with moving boundaries
    • 250
    • L. CHAYES AND G. SWINDLE, Hydrodynamic limits for one-dimensional particle systems with moving boundaries, Ann. Probab., 24 (1996), pp. 559-598. 250
    • (1996) Ann. Probab. , vol.24 , pp. 559-598
    • Chayes, L.1    Swindle, G.2
  • 59
    • 0035580737 scopus 로고    scopus 로고
    • A variational principle for domino tilings
    • 172
    • H. COHN, R. KENYON AND J. PROPP, A variational principle for domino tilings, J. Amer. Math. Soc., 14 (2001), pp. 297-346. 172
    • (2001) J. Amer. Math. Soc. , vol.14 , pp. 297-346
    • Cohn, H.1    Kenyon, R.2    Propp, J.3
  • 62
    • 0001345135 scopus 로고
    • On the microscopic validity of the Wulff construction and of the generalized Young equation
    • 199, 202
    • J. DE CONINCK, F. DUNLOP AND V. RIVASSEAU, On the microscopic validity of the Wulff construction and of the generalized Young equation, Commun. Math. Phys., 121 (1989), pp. 401-419. 199, 202
    • (1989) Commun. Math. Phys. , vol.121 , pp. 401-419
    • De Coninck, J.1    Dunlop, F.2    Rivasseau, V.3
  • 63
    • 0037279163 scopus 로고    scopus 로고
    • Rigorous generalization of Young's law for heterogeneous and rough substrates
    • 202
    • J. DE CONINCK, S. MIRACLE-SOLÉ AND J. Ruiz, Rigorous generalization of Young's law for heterogeneous and rough substrates, J. Statis. Phys., 111 (2003), pp. 107-127. 202
    • (2003) J. Statis. Phys. , vol.111 , pp. 107-127
    • De Coninck, J.1    Miracle-Solé, S.2    Ruiz, J.3
  • 67
    • 0000014478 scopus 로고
    • Reaction diffusion equations for intemcting particle systems
    • 249
    • A. DE MASI, P.A. FERRARI AND J.L. LEBOWITZ, Reaction diffusion equations for intemcting particle systems, J. Statis. Phys., 44 (1986), pp. 589-644. 249
    • (1986) J. Statis. Phys. , vol.44 , pp. 589-644
    • De Masi, A.1    Ferrari, P.A.2    Lebowitz, J.L.3
  • 68
    • 21344476649 scopus 로고
    • Motion by curvature, by scaling nonlocal evolution equations
    • 249
    • A. DE MASI, E. ORLANDI, E. PRESUTTI AND L. TRIOLO, Motion by curvature, by scaling nonlocal evolution equations, J. Statis. Phys., 73 (1993), pp. 543-570. 249
    • (1993) J. Statis. Phys. , vol.73 , pp. 543-570
    • De Masi, A.1    Orlandi, E.2    Presutti, E.3    Triolo, L.4
  • 69
    • 0039424042 scopus 로고
    • Glauber evolution with Kac potentials, I. Mesoscopic and macroscopic limits, interface dynamics
    • 249
    • A. DE MASI, E. ORLANDI, E. PRESUTTI AND L. TRIOLO, Glauber evolution with Kac potentials, I. Mesoscopic and macroscopic limits, interface dynamics, Nonlinearity, 7 (1994), pp. 633-696. 249
    • (1994) Nonlinearity , vol.7 , pp. 633-696
    • De Masi, A.1    Orlandi, E.2    Presutti, E.3    Triolo, L.4
  • 70
    • 0042340506 scopus 로고
    • Spatial patterns when phases separate in an interacting particle system
    • 249, 250
    • A. DE MASI, A. PELLEGRINOTTI, E. PRESUTTI AND M.E. VARES, Spatial patterns when phases separate in an interacting particle system, Ann. Probab., 22 (1994), pp. 334-371. 249, 250
    • (1994) Ann. Probab. , vol.22 , pp. 334-371
    • De Masi, A.1    Pellegrinotti, A.2    Presutti, E.3    Vares, M.E.4
  • 71
    • 0003349869 scopus 로고
    • Mathematical methods for hydrodynamic limits
    • Springer
    • A. DE MASI AND E. PHESUTTI, Mathematical Methods for Hydrodynamic Limits, Lect. Notes Math., 1501 (1991), Springer. 249
    • (1991) Lect. Notes Math. , vol.1501 , pp. 249
    • De Masi, A.1    Phesutti, E.2
  • 73
    • 0003208243 scopus 로고    scopus 로고
    • Large deviations techniques and applications
    • 2nd edition, Springer
    • A. DEMBO AND O. ZEITOUNI, Large Deviations Techniques and Applications, 2nd edition, Applications of Mathematics 38, Springer, 1.998. 119, 177, 180
    • (1998) Applications of Mathematics , vol.38 , pp. 119
    • Dembo, A.1    Zeitouni, O.2
  • 75
    • 0001597439 scopus 로고    scopus 로고
    • Entropic repulsion of the lattice free, field, II. The 0-boundary case
    • 112, 196
    • J.-D. DEUSCHEL, Entropic repulsion of the lattice free, field, II. The 0-boundary case, Commun. Math. Phys., 181 (1996), pp. 647-665. 112, 196
    • (1996) Commun. Math. Phys. , vol.181 , pp. 647-665
    • Deuschel, J.-D.1
  • 76
    • 0033426771 scopus 로고    scopus 로고
    • Entropic repulsion for the free field: Pathwise characterization in d ≥ 3
    • 112, 195
    • J.-D. DEUSCHEL AND G. GIACOMIN, Entropic repulsion for the free field: pathwise characterization in d ≥ 3, Commun. Math. Phys., 206 (1999), pp. 447-462. 112, 195
    • (1999) Commun. Math. Phys. , vol.206 , pp. 447-462
    • Deuschel, J.-D.1    Giacomin, G.2
  • 77
    • 0007192886 scopus 로고    scopus 로고
    • Entropic repulsion for massless fields
    • 112, 170, 192, 193, 194
    • J.-D. DEUSCHEL AND G. GIACOMIN, Entropic repulsion for massless fields, Stoch. Proc. Appl., 89 (2000), pp. 333-354. 112, 170, 192, 193, 194
    • (2000) Stoch. Proc. Appl. , vol.89 , pp. 333-354
    • Deuschel, J.-D.1    Giacomin, G.2
  • 78
    • 0002425367 scopus 로고    scopus 로고
    • Large deviations and concentration properties for ∇φ interface models
    • 112, 143, 145, 157, 165, 167, 169, 183, 184, 185, 187
    • J.-D. DEUSCHEL, G. GIACOMIN AND D. IOFFE, Large deviations and concentration properties for ∇φ interface models, Probab. Theory Relat. Fields, 117 (2000), pp. 49-111. 112, 143, 145, 157, 165, 167, 169, 183, 184, 185, 187
    • (2000) Probab. Theory Relat. Fields , vol.117 , pp. 49-111
    • Deuschel, J.-D.1    Giacomin, G.2    Ioffe, D.3
  • 82
    • 0034384001 scopus 로고    scopus 로고
    • Non-Gaussian surface pinned by a weak potential
    • 112, 197
    • J.-D. DEUSCHEL AND Y. VELENIK, Non-Gaussian surface pinned by a weak potential, Probab. Theory Relat. Fields, 116 (2000), pp. 359-377. 112, 197
    • (2000) Probab. Theory Relat. Fields , vol.116 , pp. 359-377
    • Deuschel, J.-D.1    Velenik, Y.2
  • 83
    • 0010077432 scopus 로고
    • The interface in a Ginsburg-Landau-Wilson model: Derivation of the drumhead model in the low-temperature limit
    • 258
    • H.W. DIEHL, D.M. KROLL AND H. WAGNER, The interface in a Ginsburg-Landau-Wilson model: Derivation of the drumhead model in the low-temperature limit, Z. Physik B, 36 (1980), pp. 329-333. 258
    • (1980) Z. Physik B , vol.36 , pp. 329-333
    • Diehl, H.W.1    Kroll, D.M.2    Wagner, H.3
  • 84
    • 0001235413 scopus 로고
    • The description of a random field by means of conditional probabilities and conditions of its regularity
    • 206
    • R.L. DOBRUSHIN, The description of a random field by means of conditional probabilities and conditions of its regularity, Theor. Probab. Appl., 13 (1968), pp. 197-224. 206
    • (1968) Theor. Probab. Appl. , vol.13 , pp. 197-224
    • Dobrushin, R.L.1
  • 85
    • 0000080779 scopus 로고
    • Prescribing a system of random variables by conditional distributions
    • 206
    • R.L. DOBRUSHIN, Prescribing a system of random variables by conditional distributions, Theor. Probab. Appl., 15 (1970), pp. 458-486. 206
    • (1970) Theor. Probab. Appl. , vol.15 , pp. 458-486
    • Dobrushin, R.L.1
  • 86
    • 0030210695 scopus 로고    scopus 로고
    • Fluctuations of shapes of large areas under paths of random walks
    • 171
    • R.L. DOBRUSHIN AND O. HRYNIV, Fluctuations of shapes of large areas under paths of random walks, Probab. Theory Relat. Fields, 105 (1996), pp. 423-458. 171
    • (1996) Probab. Theory Relat. Fields , vol.105 , pp. 423-458
    • Dobrushin, R.L.1    Hryniv, O.2
  • 87
    • 0003316893 scopus 로고
    • Wulff Construction: A Global Shape from. Local Interaction
    • 165, 171
    • R.L. DOBRUSHIN, R. KOTECKY AND S. SHLOSMAN, Wulff Construction: a Global Shape from. Local Interaction, AMS translation series, 104 (1992). 110, 165, 171
    • (1992) AMS Translation Series , vol.104 , pp. 110
    • Dobrushin, R.L.1    Kotecky, R.2    Shlosman, S.3
  • 88
    • 0001568243 scopus 로고
    • Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction
    • (Oslo, eds. Albeverio, Holden and Lindstom), Cambridge Univ. Press, 157
    • R.L. DOBRUSHIN, S.B. SHLOSMAN, Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction, "Ideas and methods in quantum and statistical physics" (Oslo, 1988, eds. Albeverio, Holden and Lindstom), Cambridge Univ. Press, 1992, pp. 461-483. 157
    • (1988) Ideas and Methods in Quantum and Statistical Physics , pp. 461-483
    • Dobrushin, R.L.1    Shlosman, S.B.2
  • 89
    • 84990571892 scopus 로고
    • Large deviations from a hydrodynamic scaling limit
    • 238
    • M.D. DONSKER AND S.R.S. VARADHAN, Large deviations from a hydrodynamic scaling limit, Commun. Pure Appl. Math., 42 (1989), pp. 243-270. 238
    • (1989) Commun. Pure Appl. Math. , vol.42 , pp. 243-270
    • Donsker, M.D.1    Varadhan, S.R.S.2
  • 91
    • 0037273679 scopus 로고    scopus 로고
    • Stationary states and scaling shapes of one-dimensional interfaces
    • 124, 261
    • F. DUNLOP, Stationary states and scaling shapes of one-dimensional interfaces, J. Statis. Phys., 111 (2003), pp. 433-442. 124, 261
    • (2003) J. Statis. Phys. , vol.111 , pp. 433-442
    • Dunlop, F.1
  • 92
    • 0036247006 scopus 로고    scopus 로고
    • A dynamic one-dimensional interface interacting with a wall
    • 243
    • F. DUNLOP, P.A. FERRARI AND L.R.G. FONTES, A dynamic one-dimensional interface interacting with a wall, J. Statis. Phys., 107 (2002), pp. 705-727. 243
    • (2002) J. Statis. Phys. , vol.107 , pp. 705-727
    • Dunlop, F.1    Ferrari, P.A.2    Fontes, L.R.G.3
  • 94
    • 0001867804 scopus 로고
    • Pinning of an interface by a weak potential
    • 112, 196, 197
    • F. DUNLOP, J. MAGNEN, V. RIVASSEAU AND P. ROCHE, Pinning of an interface by a weak potential, J. Statis. Phys., 66 (1992), pp. 71-98. 112, 196, 197
    • (1992) J. Statis. Phys. , vol.66 , pp. 71-98
    • Dunlop, F.1    Magnen, J.2    Rivasseau, V.3    Roche, P.4
  • 95
    • 0033434682 scopus 로고    scopus 로고
    • The equilibrium behavior of reversible coagulation-fragmentation processes
    • 260
    • R. DURRETT, B.L. GRANOVSKY AND S. GUERON, The equilibrium behavior of reversible coagulation-fragmentation processes, J. Theoret. Probab., 12 (1999), pp. 447-474, 260
    • (1999) J. Theoret. Probab. , vol.12 , pp. 447-474
    • Durrett, R.1    Granovsky, B.L.2    Gueron, S.3
  • 96
    • 0032188579 scopus 로고    scopus 로고
    • A stochastic model for growing sandpiles and its continuum limit
    • 241
    • L.C. EVANS AND F. REZAKHANLOU, A stochastic model for growing sandpiles and its continuum limit, Commun. Math. Phys., 197 (1998), pp. 325-345. 241
    • (1998) Commun. Math. Phys. , vol.197 , pp. 325-345
    • Evans, L.C.1    Rezakhanlou, F.2
  • 97
    • 0042678388 scopus 로고
    • Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state
    • 232
    • G. EYINK, J.L. LEBOWITZ AND H. SPOHN, Lattice gas models in contact with stochastic reservoirs: local equilibrium and relaxation to the steady state, Commun. Math. Phys., 140 (1991), pp. 119-131. 232
    • (1991) Commun. Math. Phys. , vol.140 , pp. 119-131
    • Eyink, G.1    Lebowitz, J.L.2    Spohn, H.3
  • 98
    • 0000754401 scopus 로고
    • Large fluctuations for a nonlinear heat equation with noise
    • 258
    • W.G. FARIS AND G. JONA-LASINIO, Large fluctuations for a nonlinear heat equation with noise, J. Phys. A: Math. Gen., 15 (1982), pp. 3025-3055. 258
    • (1982) J. Phys. A: Math. Gen. , vol.15 , pp. 3025-3055
    • Faris, W.G.1    Jona-Lasinio, G.2
  • 100
    • 33748869179 scopus 로고    scopus 로고
    • Last branching in directed last passage percolation
    • 261
    • P.L. FERRARI AND H. SPOHN, Last branching in directed last passage percolation, Markov Processes Relat. Fields, 9 (2003), pp. 323-339. 261
    • (2003) Markov Processes Relat. Fields , vol.9 , pp. 323-339
    • Ferrari, P.L.1    Spohn, H.2
  • 102
    • 34250142002 scopus 로고
    • Walks, walls, wetting, and melting
    • 112, 199
    • M.E. FISHER, Walks, walls, wetting, and melting, J. Statis. Phys., 34 (1984), pp. 667-729. 112, 199
    • (1984) J. Statis. Phys. , vol.34 , pp. 667-729
    • Fisher, M.E.1
  • 103
    • 0040557776 scopus 로고
    • Non-perturbative methods for the study of massless models
    • (ed. Fröhlich), 148, 151
    • J.R. FONTAINE, Non-perturbative methods for the study of massless models, in "Scaling and Self-similarity in Physics" (ed. Fröhlich), 1983, pp. 203-226. 148, 151
    • (1983) Scaling and Self-similarity in Physics , pp. 203-226
    • Fontaine, J.R.1
  • 105
    • 0346704388 scopus 로고    scopus 로고
    • An introduction to the theory of hydrodynamic limits
    • The University of Tokyo, Tokyo
    • J. FRITZ, An Introduction to the Theory of Hydrodynamic Limits, Lectures in Mathematical Sciences 18, The University of Tokyo, Tokyo 2001. 261
    • (2001) Lectures in Mathematical Sciences , vol.18 , pp. 261
    • Fritz, J.1
  • 106
    • 3543012422 scopus 로고    scopus 로고
    • Entropy pairs and compensated compactness for weakly asymmetric systems
    • Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (eds. Funaki and Osada), Math. Soc. Japan, 261
    • J. FRITZ, Entropy pairs and compensated compactness for weakly asymmetric systems, Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (2002, eds. Funaki and Osada), Adv. Stud. Pure Math., 39, Math. Soc. Japan, 2004, pp. 143-171. 261
    • (2002) Adv. Stud. Pure Math. , vol.39 , pp. 143-171
    • Fritz, J.1
  • 107
    • 33748869575 scopus 로고
    • On the statistical mechanics of surfaces
    • Stochastic processes in quantum theory and statistical physics (Marseille), Springer, 118
    • J. FRÖHLICH, C.E. PFISTER AND T. SPENCER, On the statistical mechanics of surfaces, Stochastic processes in quantum theory and statistical physics (Marseille, 1981), Lect. Notes Phys., 173, pp. 169-199, Springer, 1982. 118
    • (1981) Lect. Notes Phys. , vol.173 , pp. 169-199
    • Fröhlich, J.1    Pfister, C.E.2    Spencer, T.3
  • 108
    • 0000851611 scopus 로고
    • The Kosterlitz-Thouless transition in two-dimensional abelian spin systems and the Coulomb gas
    • 158
    • J. FRÖHLICH AND T. SPENCER, The Kosterlitz-Thouless transition in two-dimensional abelian spin systems and the Coulomb gas, Commun. Math. Phys., 81 (.1981), pp. 527-602. 158
    • (1981) Commun. Math. Phys. , vol.81 , pp. 527-602
    • Fröhlich, J.1    Spencer, T.2
  • 109
    • 84972522926 scopus 로고
    • Random motion of strings and related stochastic evolution equations
    • 156
    • T. FUNAKI, Random motion of strings and related stochastic evolution equations, Nagoya Math. J., 89 (1983), pp. 129-193. 156
    • (1983) Nagoya Math. J. , vol.89 , pp. 129-193
    • Funaki, T.1
  • 110
    • 84972552094 scopus 로고
    • The reversible measures of multi-dimensional Ginzburg-Landau type, continuum model
    • 211, 215
    • T. FUNAKI, The reversible measures of multi-dimensional Ginzburg-Landau type, continuum model, Osaka J. Math., 28 (1991), pp. 463-494. 211, 215
    • (1991) Osaka J. Math. , vol.28 , pp. 463-494
    • Funaki, T.1
  • 111
    • 21844513537 scopus 로고
    • The scaling limit for a stochastic PDE and the separation of phases
    • 256
    • T. FUNAKI, The scaling limit for a stochastic PDE and the separation of phases, Probab. Theory Relat. Fields, 102 (1995), pp. 221-288. 256
    • (1995) Probab. Theory Relat. Fields , vol.102 , pp. 221-288
    • Funaki, T.1
  • 112
    • 15244339413 scopus 로고    scopus 로고
    • SPDE approach and log-Sobolev inequalities for continuum field with two-body interactions
    • Hiroshima, unpublished manuscript
    • T. FUNAKI, SPDE approach and log-Sobolev inequalities for continuum field with two-body interactions, Proceedings of Japan-German Seminar, 1996, Hiroshima, unpublished manuscript. 234
    • (1996) Proceedings of Japan-German Seminar , pp. 234
    • Funaki, T.1
  • 113
    • 0346429380 scopus 로고    scopus 로고
    • Singular limit for reaction-diffusion equation with self-similar Gaussian noise
    • (eds. Elworthy, Kusuoka, and Shigekawa), World Sci., 256
    • T. FUNAKI, Singular limit for reaction-diffusion equation with self-similar Gaussian noise, Proceedings of Taniguchi symposium "New Trends in Stochastic Analysis" (eds. Elworthy, Kusuoka, and Shigekawa), World Sci., 1997, pp. 132-152. 256
    • (1997) Proceedings of Taniguchi Symposium "New Trends in Stochastic Analysis" , pp. 132-152
    • Funaki, T.1
  • 114
    • 85061768474 scopus 로고    scopus 로고
    • Stochastic models for phase separation and evolution equations of interfaces
    • T. FUNAKI, Stochastic models for phase separation and evolution equations of interfaces, Sugaku Expositions, 16 (2003), pp. 97-116
    • (2003) Sugaku Expositions , vol.16 , pp. 97-116
    • Funaki, T.1
  • 115
    • 33748866018 scopus 로고    scopus 로고
    • In Japanese: 254, 255
    • (In Japanese: T. FUNAKI, Sugaku Expositions 50 (1998), pp. 68-85). 254, 255
    • (1998) Sugaku Expositions , vol.50 , pp. 68-85
    • Funaki, T.1
  • 116
    • 0033194355 scopus 로고    scopus 로고
    • Free boundary problem from stochastic lattice gas model
    • 232, 250
    • T. FUNAKI, Free boundary problem from stochastic lattice gas model, Ann. Inst. H. Poincaré, 35 (1999), pp. 573-603. 232, 250
    • (1999) Ann. Inst. H. Poincaré , vol.35 , pp. 573-603
    • Funaki, T.1
  • 117
    • 0347117402 scopus 로고    scopus 로고
    • Singular limit for stochastic reaction-diffusion equation and generation of random interfaces
    • 257
    • T. FUNAKI, Singular limit for stochastic reaction-diffusion equation and generation of random interfaces, Acta Math. Sinica, 15 (1999), pp. 407-438. 257
    • (1999) Acta Math. Sinica , vol.15 , pp. 407-438
    • Funaki, T.1
  • 118
    • 0038443254 scopus 로고    scopus 로고
    • Recent results on the Ginzburg-Landau ∇Φ interface model
    • edited by S. Feng, A.T. Lawniczak and S.R.S. Varadhan, Fields Institute Communications and Monograph Series, 113
    • T. FUNAKI, Recent results on the Ginzburg-Landau ∇Φ interface model, In: "Hydrodynamic Limits and Related Topics", edited by S. Feng, A.T. Lawniczak and S.R.S. Varadhan, Fields Institute Communications and Monograph Series, 2000, pp. 71-81. 113
    • (2000) Hydrodynamic Limits and Related Topics , pp. 71-81
    • Funaki, T.1
  • 119
    • 0038309304 scopus 로고    scopus 로고
    • Hydrodynamic limit for ∇Φ interface model on a wall
    • 113, 240
    • T. FUNAKI, Hydrodynamic limit for ∇Φ interface model on a wall, Probab. Theory Relat. Fields, 126 (2003), pp. 155-183. 113, 240
    • (2003) Probab. Theory Relat. Fields , vol.126 , pp. 155-183
    • Funaki, T.1
  • 120
    • 3042587558 scopus 로고    scopus 로고
    • Zero temperature limit for interacting Brownian particles, I. Motion of a single body
    • 250, 252, 253
    • T. FUNAKI, Zero temperature limit for interacting Brownian particles, I. Motion of a single body, Ann. Probab., 32 (2004), pp. 1201-1227. 250, 252, 253
    • (2004) Ann. Probab. , vol.32 , pp. 1201-1227
    • Funaki, T.1
  • 121
    • 3042684663 scopus 로고    scopus 로고
    • Zero temperature limit for interacting Brownian particles, II. Coagulation in one dimension
    • 250, 254
    • T. FUNAKI, Zero temperature limit for interacting Brownian particles, II. Coagulation in one dimension, Ann. Probab., 32 (2004), pp. 1228-1246. 250, 254
    • (2004) Ann. Probab. , vol.32 , pp. 1228-1246
    • Funaki, T.1
  • 122
    • 0039854587 scopus 로고
    • Degenerative convergence of diffusion process toward a submanifold by strong drift
    • 258
    • T. FUNAKI AND II. NAGAI, Degenerative convergence of diffusion process toward a submanifold by strong drift, Stochastics, 44 (1993), pp. 1-25. 258
    • (1993) Stochastics , vol.44 , pp. 1-25
    • Funaki, T.1    Nagai, I.I.2
  • 123
    • 0035610348 scopus 로고    scopus 로고
    • Large deviations for the Ginzburg-Landau ∇Φ interface, model
    • 113, 237
    • T. FUNAKI AND T. NISHIKAWA, Large deviations for the Ginzburg-Landau ∇Φ interface, model, Probab. Theory Relat. Fields, 120 (2001), pp. 535-568. 113, 237
    • (2001) Probab. Theory Relat. Fields , vol.120 , pp. 535-568
    • Funaki, T.1    Nishikawa, T.2
  • 124
    • 0013249406 scopus 로고    scopus 로고
    • Fluctuations for ∇Φ interface model on a wall
    • 113, 241, 242
    • T. FUNAKI AND S. OLLA, Fluctuations for ∇Φ interface model on a wall, Stoch. Proc. Appl., 94 (2001), pp. 1-27. 113, 241, 242
    • (2001) Stoch. Proc. Appl. , vol.94 , pp. 1-27
    • Funaki, T.1    Olla, S.2
  • 125
    • 33748880221 scopus 로고    scopus 로고
    • Large deviations for ∇φ interface model and derivation of free boundary problems
    • Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (eds. Funaki and Osada), Math. Soc. Japan, 112, 167, 169, 181, 182
    • T. FUNAKI AND H. SAKAGAWA, Large deviations for ∇φ interface model and derivation of free boundary problems, Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (2002, eds. Funaki and Osada), Adv. Stud. Pure Math., 39, Math. Soc. Japan, 2004, pp. 173-211. 112, 167, 169, 181, 182
    • (2002) Adv. Stud. Pure Math. , vol.39 , pp. 173-211
    • Funaki, T.1    Sakagawa, H.2
  • 126
    • 0002088207 scopus 로고    scopus 로고
    • Motion by mean curvature from the Ginzburg-Landau ∇Φ interface model
    • 112, 151, 154, 157, 158, 208, 209
    • T. FUNAKI AND H. SPOHN, Motion by mean curvature from the Ginzburg-Landau ∇Φ interface model, Commun. Math. Phys., 185 (1997), pp. 1-36. 112, 151, 154, 157, 158, 208, 209,
    • (1997) Commun. Math. Phys. , vol.185 , pp. 1-36
    • Funaki, T.1    Spohn, H.2
  • 128
    • 0002229295 scopus 로고
    • Hydrodynamic limit for lattice gas reversible under Bernoulli measures
    • "Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence" (eds. Funaki and Woyczynski), Springer. 234
    • T. FUNAKI, K. UCHIYAMA AND H.T. YAU, Hydrodynamic limit for lattice gas reversible under Bernoulli measures, "Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence" (eds. Funaki and Woyczynski), IMA volume (Univ. Minnesota) 77 (1995), pp. 1-40, Springer. 234
    • (1995) IMA Volume (Univ. Minnesota) , vol.77 , pp. 1-40
    • Funaki, T.1    Uchiyama, K.2    Yau, H.T.3
  • 129
    • 0041151855 scopus 로고
    • Renormalization group study of a critical lattice model I, II
    • K. GAWEDZKI AND A. KUPIAINEN, Renormalization group study of a critical lattice model I, II, Commun. Math. Phys., 82 (1981), pp. 407-433
    • (1981) Commun. Math. Phys. , vol.82 , pp. 407-433
    • Gawedzki, K.1    Kupiainen, A.2
  • 132
    • 21844511522 scopus 로고
    • Onset and structure of interfaces in a Kawasaki+Glauber interacting particle system
    • 249
    • G. GIACOMIN, Onset and structure of interfaces in a Kawasaki+Glauber interacting particle system, Probab. Theory Relat. Fields, 103 (1995), pp. 1-24. 249
    • (1995) Probab. Theory Relat. Fields , vol.103 , pp. 1-24
    • Giacomin, G.1
  • 133
    • 0007289856 scopus 로고    scopus 로고
    • Anharmonic lattices, random walks and random interfaces
    • Transworld research network, 113, 150, 151
    • G. GIACOMIN, Anharmonic lattices, random walks and random interfaces, in Recent research developments in statistical physics, Transworld research network, 1 (2000), pp. 97-118. 113, 150, 151
    • (2000) Recent Research Developments in Statistical Physics , vol.1 , pp. 97-118
    • Giacomin, G.1
  • 134
    • 0037660508 scopus 로고    scopus 로고
    • On stochastic domination in the Brascamp-Lieb framework
    • 148
    • G. GIACOMIN, On stochastic domination in the Brascamp-Lieb framework, Math. Proc. Cambridge Philos. Soc., 134 (2003), pp. 507-514. 148
    • (2003) Math. Proc. Cambridge Philos. Soc. , vol.134 , pp. 507-514
    • Giacomin, G.1
  • 135
    • 62249149584 scopus 로고    scopus 로고
    • Limit theorems for random interfaces of Ginzburg-Landau type
    • Stochastic partial differential equations and applications (Trento, 2002), Dekker, New York, 113
    • G. GIACOMIN, Limit theorems for random interfaces of Ginzburg-Landau type, Stochastic partial differential equations and applications (Trento, 2002), pp. 235-253, Lecture Notes in Pure and Appl. Math., 227, Dekker, New York, 2002. 113
    • (2002) Lecture Notes in Pure and Appl. Math. , vol.227 , pp. 235-253
    • Giacomin, G.1
  • 136
    • 0013393759 scopus 로고    scopus 로고
    • Aspects of statistical mechanics of random surfaces
    • fall preprint
    • G. GIACOMIN, Aspects of statistical mechanics of random surfaces, Notes of the lectures given at IHP, fall 2001, preprint, 2002. 113
    • (2001) Notes of the Lectures Given at IHP , pp. 113
    • Giacomin, G.1
  • 137
    • 0000223254 scopus 로고    scopus 로고
    • Deterministic and stochastic hydrodynamic equations arising from simple microscopic model systems
    • Stochastic Partial Differential Equations: Six Perspectives (eds R. Carrnona and B. Rozovskii), AMS, 250
    • G. GIACOMIN, J.L. LEBOWITZ AND E. PRESUTTI, Deterministic and stochastic hydrodynamic equations arising from simple microscopic model systems, In: Stochastic Partial Differential Equations: Six Perspectives (eds R. Carrnona and B. Rozovskii), pp. 107-152, Math. Surveys Monogr., 64, AMS, 1999. 250
    • (1999) Math. Surveys Monogr. , vol.64 , pp. 107-152
    • Giacomin, G.1    Lebowitz, J.L.2    Presutti, E.3
  • 138
    • 0038845422 scopus 로고    scopus 로고
    • Equilibrium fluctuations for ∇φ interface model
    • 113, 143, 149, 157, 204, 235, 236
    • G. GIACOMIN, S. OLLA AND H. SPOHN, Equilibrium fluctuations for ∇φ interface model, Ann. Probab., 29 (2001), pp. 1138-1172. 113, 143, 149, 157, 204, 235, 236
    • (2001) Ann. Probab. , vol.29 , pp. 1138-1172
    • Giacomin, G.1    Olla, S.2    Spohn, H.3
  • 139
    • 0032391468 scopus 로고    scopus 로고
    • Evolving graphs by singular weighted curvature
    • 232
    • M.-H. GIGA AND Y. GIGA, Evolving graphs by singular weighted curvature, Arch. Rational Mech. Anal., 141 (1998), pp. 117-198. 232
    • (1998) Arch. Rational Mech. Anal. , vol.141 , pp. 117-198
    • Giga, M.-H.1    Giga, Y.2
  • 140
    • 79952008817 scopus 로고    scopus 로고
    • A PDE approach for motion of phase-boundaries by a singular interfacial energy
    • Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (eds. Funaki and Osada), Math. Soc. Japan, 232
    • M.-H. GIGA AND Y. GIGA, A PDE Approach for Motion of Phase-Boundaries by a Singular Interfacial Energy, Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (2002, eds. Funaki and Osada), Adv. Stud. Pure Math., 39, Math. Soc. Japan, 2004, pp. 213-232. 232
    • (2002) Adv. Stud. Pure Math. , vol.39 , pp. 213-232
    • Giga, M.-H.1    Giga, Y.2
  • 142
    • 0034563146 scopus 로고    scopus 로고
    • Internal DLA and the Stefan problem
    • 250
    • J. GRAVNER AND J. QUASTEL, Internal DLA and the Stefan problem, Ann. Probab., 28 (2000), pp. 1528-1562. 250
    • (2000) Ann. Probab. , vol.28 , pp. 1528-1562
    • Gravner, J.1    Quastel, J.2
  • 143
    • 33748852107 scopus 로고    scopus 로고
    • The minimal reversible coagulation-fragmentation process having no factarized coagulation and fragmentation rates
    • 260
    • S. GUERON AND Y. RUBINSTEIN, The minimal reversible coagulation- fragmentation process having no factarized coagulation and fragmentation rates, Markov Processes Relat. Fields, 6 (2000), pp. 257-264, 260
    • (2000) Markov Processes Relat. Fields , vol.6 , pp. 257-264
    • Gueron, S.1    Rubinstein, Y.2
  • 144
    • 0003078083 scopus 로고
    • Nonlinear diffusion limit for a system with nearest neighbor interactions
    • 153, 163, 220, 225, 226, 227
    • M.Z. GUO, G.C. PAPANICOLAOU AND S.R.S. VARADHAN, Nonlinear diffusion limit for a system with nearest neighbor interactions, Commun. Math. Phys., 118 (1988), pp. 31-59. 153, 163, 220, 225, 226, 227
    • (1988) Commun. Math. Phys. , vol.118 , pp. 31-59
    • Guo, M.Z.1    Papanicolaou, G.C.2    Varadhan, S.R.S.3
  • 146
    • 0002873443 scopus 로고    scopus 로고
    • Remarks on decay of correlations and Witten Laplacians, Brascamp-Lieb inequalities and semiclassical limit
    • 148
    • B. HELFFER, Remarks on decay of correlations and Witten Laplacians, Brascamp-Lieb inequalities and semiclassical limit, J. Funct. Anal., 155 (1998), pp. 571-586. 148
    • (1998) J. Funct. Anal. , vol.155 , pp. 571-586
    • Helffer, B.1
  • 147
    • 34249763895 scopus 로고
    • On the correlation for Kac-like models in the convex case
    • 142
    • B. HELFFER AND J. SJÖSTRAND, On the correlation for Kac-like models in the convex case, J. Statis. Phys., 74 (1994), pp. 349-409. 142
    • (1994) J. Statis. Phys. , vol.74 , pp. 349-409
    • Helffer, B.1    Sjöstrand, J.2
  • 148
    • 0040567378 scopus 로고    scopus 로고
    • Local contacts of membranes and strings
    • 118, 106
    • C. HIERGEIST AND R. LIPOWSKY, Local contacts of membranes and strings, Physica A, 244 (1997), pp. 164-175. 118, 106
    • (1997) Physica A , vol.244 , pp. 164-175
    • Hiergeist, C.1    Lipowsky, R.2
  • 149
    • 29144523184 scopus 로고    scopus 로고
    • The Dobrushin-Hryniv theory for the two-dimensional lattice Widom-Rowlinson model
    • Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (eds. Funaki arid Osada), Math. Soc. Japan, 171
    • Y. HIGUCHI, J. MURAI AND J. WANG, The Dobrushin-Hryniv theory for the two-dimensional lattice Widom-Rowlinson model, Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (2002, eds. Funaki arid Osada), Adv. Stud. Pure Math., 39, Math. Soc. Japan, 2004, pp. 233-281. 171
    • (2002) Adv. Stud. Pure Math. , vol.39 , pp. 233-281
    • Higuchi, Y.1    Murai, J.2    Wang, J.3
  • 150
    • 35949034972 scopus 로고
    • Theory of dynamic critical phenomena
    • 232
    • P.C. HOHENBERG AND B.I. HALPERIN, Theory of dynamic critical phenomena, Rev. Mod. Phys., 49 (1977), pp. 435-475. 232
    • (1977) Rev. Mod. Phys. , vol.49 , pp. 435-475
    • Hohenberg, P.C.1    Halperin, B.I.2
  • 151
    • 33748881482 scopus 로고    scopus 로고
    • Models of first-passage percolation
    • "Probability on Discrete Structures" (ed. Kesten), Springer, 261
    • C.D. HOWARD, Models of first-passage percolation, in "Probability on Discrete Structures" (ed. Kesten), Encyclopaedia Math. Sci., 110 (2004), Springer, pp. 125-173. 261
    • (2004) Encyclopaedia Math. Sci. , vol.110 , pp. 125-173
    • Howard, C.D.1
  • 153
    • 21344496131 scopus 로고
    • Large deviations for the 2D Ising model: A lower bound without cluster expansions
    • 171
    • D. IOFFE, Large deviations for the 2D Ising model: a lower bound without cluster expansions, J. Statis. Phys., 74 (1994), pp. 411-432. 171
    • (1994) J. Statis. Phys. , vol.74 , pp. 411-432
    • Ioffe, D.1
  • 154
    • 21844490341 scopus 로고
    • c. For the Ising model in two dimensions
    • 171
    • c. for the Ising model in two dimensions, Probab. Theory Relat. Fields, 102 (1995), pp. 313-330. 171
    • (1995) Probab. Theory Relat. Fields , vol.102 , pp. 313-330
    • Ioffe, D.1
  • 155
    • 0032270185 scopus 로고    scopus 로고
    • Dobrushin-Kotecky-Shlosman theorem up to the critical temperature
    • 110, 171
    • D. IOFFE AND R.H. SCHONMANN, Dobrushin-Kotecky-Shlosman theorem up to the critical temperature, Commun. Math. Phys., 199 (1998), pp. 117-167. 110, 171
    • (1998) Commun. Math. Phys. , vol.199 , pp. 117-167
    • Ioffe, D.1    Schonmann, R.H.2
  • 156
    • 0040794516 scopus 로고    scopus 로고
    • A note on the decay of correlations under δ-pinning
    • 112, 197, 198
    • D. IOFFE AND Y. VELENIK, A note on the decay of correlations under δ-pinning, Probab. Theory Relat. Fields, 116 (2000), pp. 379-389. 112, 197, 198
    • (2000) Probab. Theory Relat. Fields , vol.116 , pp. 379-389
    • Ioffe, D.1    Velenik, Y.2
  • 157
    • 0038772546 scopus 로고    scopus 로고
    • Weakly pinned random walk on the wall: Pathwise descriptions of the phase transition
    • 199, 202
    • Y. ISOZAKI AND N. YOSHIDA, Weakly pinned random walk on the wall: pathwise descriptions of the phase transition, Stoch. Proc. Appl., 96 (2001), pp. 261-284. 199, 202
    • (2001) Stoch. Proc. Appl. , vol.96 , pp. 261-284
    • Isozaki, Y.1    Yoshida, N.2
  • 158
    • 84972502207 scopus 로고
    • Potentials and the random walk
    • K. ITÔ AND H.P. MCKEAN, Potentials and the random walk, Illinois J. Math., 4 (1960), pp. 119-132. 132
    • (1960) Illinois J. Math. , vol.4 , pp. 119-132
    • Itô, K.1    Mckean, H.P.2
  • 159
    • 0039372388 scopus 로고
    • 1-time, evolution
    • (eds. Itô and Ikeda), Proceedings, Katata Kyoto 1985, pp. 195-209, Kinokuniya, Tokyo
    • 1-time, evolution, "Probabilistic Methods in Mathematical Physics" (eds. Itô and Ikeda), Proceedings, Katata Kyoto 1985, pp. 195-209, Kinokuniya, Tokyo, 1987. 215
    • (1987) Probabilistic Methods in Mathematical Physics , pp. 215
    • Iwata, K.1
  • 160
    • 0034382533 scopus 로고    scopus 로고
    • Transversal fluctuations for increasing subsequences on the plane
    • K. JOHANSSON, Transversal fluctuations for increasing subsequences on the plane, Probab. Theory Relat. Fields, 116 (2000), pp. 445-456. 261
    • (2000) Probab. Theory Relat. Fields , vol.116 , pp. 445-456
    • Johansson, K.1
  • 161
    • 0034340689 scopus 로고    scopus 로고
    • Shape fluctuations and random matrices
    • K. JOHANSSON, Shape fluctuations and random matrices, Commun. Math. Phys., 209 (2000), pp. 437-476. 261
    • (2000) Commun. Math. Phys. , vol.209 , pp. 437-476
    • Johansson, K.1
  • 162
    • 33746285359 scopus 로고    scopus 로고
    • Random growth and random matrices
    • Barcelona
    • K. JOHANSSON, Random growth and random matrices, European Congress of Mathematics, Vol. I (Barcelona, 2000), pp. 445-456
    • (2000) European Congress of Mathematics , vol.1 , pp. 445-456
    • Johansson, K.1
  • 163
    • 33748850436 scopus 로고    scopus 로고
    • Birkhauser, Basel
    • Progr. Math., 201, Birkhauser, Basel, 2001. 261
    • (2001) Progr. Math. , vol.201 , pp. 261
  • 164
    • 0036628218 scopus 로고    scopus 로고
    • Non-intersecting paths, random tilings and random matrices
    • K. JOHANSSON, Non-intersecting paths, random tilings and random matrices, Probab. Theory Relat. Fields, 123 (2002), pp. 225-280. 261
    • (2002) Probab. Theory Relat. Fields , vol.123 , pp. 225-280
    • Johansson, K.1
  • 165
    • 4243979739 scopus 로고
    • Dynamical scaling of growing interfaces
    • M. KARDAR, G. PARISI AND Y.-C. ZHANO, Dynamical scaling of growing interfaces, Phys. Rev. Lett., 56 (1986), pp. 889-892. 262
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 889-892
    • Kardar, M.1    Parisi, G.2    Zhano, Y.-C.3
  • 167
    • 21844495829 scopus 로고
    • Interacting particle systems and generalized evolution of fronts
    • M.A. KATSOULAKIS AND P.E. SOUGANIDIS, Interacting particle systems and generalized evolution of fronts, Arch. Rat. Mech. Anal., 127 (1994), pp. 133-157. 249
    • (1994) Arch. Rat. Mech. Anal. , vol.127 , pp. 133-157
    • Katsoulakis, M.A.1    Souganidis, P.E.2
  • 168
    • 21844525131 scopus 로고
    • Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics
    • M.A. KATSOULAKIS AND P.E. SOUGANIDIS, Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics, Commun. Math. Phys., 169 (1995), pp. 61-97. 249
    • (1995) Commun. Math. Phys. , vol.169 , pp. 61-97
    • Katsoulakis, M.A.1    Souganidis, P.E.2
  • 169
    • 0039262915 scopus 로고
    • Solutions of a stochastic differential equation forced onto a manifold by a large drift
    • G.S. KATZENBERGER, Solutions of a stochastic differential equation forced onto a manifold by a large drift, Ann. Probab., 19 (1991), pp. 1587-1628. 258
    • (1991) Ann. Probab. , vol.19 , pp. 1587-1628
    • Katzenberger, G.S.1
  • 170
    • 0001568399 scopus 로고
    • Kinetic drumhead model of interface I
    • K. KAWASAKI AND T. OHTA, Kinetic drumhead model of interface I, Prog. Theoret. Phys., 67 (1982), pp. 147-163. 257, 258
    • (1982) Prog. Theoret. Phys. , vol.67 , pp. 147-163
    • Kawasaki, K.1    Ohta, T.2
  • 171
    • 0038729077 scopus 로고    scopus 로고
    • The planar dimer model with boundary: A survey
    • (eds. Baake and Moody), Amer. Math. Soc., Providence, RI
    • R. KENYON, The planar dimer model with boundary: a survey, "Directions in Mathematical Quasicrystals" (eds. Baake and Moody), Amer. Math. Soc., Providence, RI 2000, pp. 307-328. 259
    • (2000) Directions in Mathematical Quasicrystals , pp. 307-328
    • Kenyon, R.1
  • 172
    • 0035566988 scopus 로고    scopus 로고
    • Dominos and the Gaussian free field
    • R. KENYON, Dominos and the Gaussian free field, Ann. Probab., 29 (2001), pp. 1128-1137. 172
    • (2001) Ann. Probab. , vol.29 , pp. 1128-1137
    • Kenyon, R.1
  • 173
    • 27344455992 scopus 로고    scopus 로고
    • Asymptotic representation theory of the symmetric group and its applications in analysis
    • Amer. Math. Soc., Providence, RI
    • S.V. KEROV, Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis, Translations of Math. Monographs, 219, Amer. Math. Soc., Providence, RI, 2003, xvi-201 pp. 258
    • (2003) Translations of Math. Monographs , vol.219
    • Kerov, S.V.1
  • 175
    • 0000238499 scopus 로고
    • Macroscopic properties of a stationary non-equilibrium distribution for a non-gradient interacting particle system
    • C. KIPNIS, C. LANDIM AND S. OLLA, Macroscopic properties of a stationary non-equilibrium distribution for a non-gradient interacting particle system, Ann. Inst. H. Poincaré, 31 (.1995), pp. 191-221. 232
    • (1995) Ann. Inst. H. Poincaré , vol.31 , pp. 191-221
    • Kipnis, C.1    Landim, C.2    Olla, S.3
  • 176
    • 84990617818 scopus 로고
    • Hydrodynamics and large deviation for simple exclusion processes
    • C. KIPNIS, S. OLLA AND S.R.S. VARADHAN, Hydrodynamics and large deviation for simple exclusion processes, Commun. Pure Appl. Math., 42 (1989), pp. 115-137. 238
    • (1989) Commun. Pure Appl. Math. , vol.42 , pp. 115-137
    • Kipnis, C.1    Olla, S.2    Varadhan, S.R.S.3
  • 177
    • 34250130646 scopus 로고
    • Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
    • C. KIPNIS AND S.R.S. VARADHAN, Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions, Commun. Math. Phys., 104 (1986), pp. 1-19. 236
    • (1986) Commun. Math. Phys. , vol.104 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.S.2
  • 178
    • 33748855895 scopus 로고    scopus 로고
    • Free boundary problem from, two component system on ℤ
    • to appear
    • K. KOMORIYA, Free boundary problem from, two component system on ℤ, to appear in J. Math. Sci. Univ. Tokyo, 12 (2005), pp. 141-163. 250
    • (2005) J. Math. Sci. Univ. Tokyo , vol.12 , pp. 141-163
    • Komoriya, K.1
  • 179
    • 0002902088 scopus 로고
    • The method of averaging and walks in inhomogeneaus environments
    • S.M. KOZLOV, The method of averaging and walks in inhomogeneaus environments, Russian Math. Surveys, 40 (1985), pp. 73-145. 212
    • (1985) Russian Math. Surveys , vol.40 , pp. 73-145
    • Kozlov, S.M.1
  • 180
    • 0001592733 scopus 로고
    • Universality classes for deterministic surface growth
    • J. KRUG AND H. SPOHN, Universality classes for deterministic surface growth, Phys. Rev. A, 38 (1988), pp. 4271-4283. 262
    • (1988) Phys. Rev. A , vol.38 , pp. 4271-4283
    • Krug, J.1    Spohn, H.2
  • 181
    • 0003067890 scopus 로고
    • Kinetic roughening of growing surfaces
    • (ed. Godrèche), Cambridge Univ. Press
    • J. KRUG AND H. SPOHN, Kinetic roughening of growing surfaces, in "Solids Far from Equilibrium" (ed. Godrèche), Cambridge Univ. Press, 1991, pp. 479-582. 261
    • (1991) Solids Far from Equilibrium , pp. 479-582
    • Krug, J.1    Spohn, H.2
  • 182
    • 34250236571 scopus 로고
    • Stochastic evolution equations
    • N.V. KRYLOV AND B.L. ROZOVSKI, Stochastic evolution equations, J. Soviet Math., 16 (1981), pp. 1233-1277. 221
    • (1981) J. Soviet Math. , vol.16 , pp. 1233-1277
    • Krylov, N.V.1    Rozovski, B.L.2
  • 183
    • 0000964926 scopus 로고
    • Decay of correlations under Dobrushin's uniqueness condition and us applications
    • H. KÜNSCH, Decay of correlations under Dobrushin's uniqueness condition and us applications, Commun. Math. Phys., 84 (1982), pp. 207-222. 206
    • (1982) Commun. Math. Phys. , vol.84 , pp. 207-222
    • Künsch, H.1
  • 185
    • 0032380399 scopus 로고    scopus 로고
    • Driven tracer particle in one dimensional symmetric simple exclusion
    • C. LANDIM, S. OLLA AND S. VOLCHAN, Driven tracer particle in one dimensional symmetric simple exclusion, Commun. Math. Phys., 192 (1998), pp. 287-307. 250
    • (1998) Commun. Math. Phys. , vol.192 , pp. 287-307
    • Landim, C.1    Olla, S.2    Volchan, S.3
  • 186
    • 0009146814 scopus 로고    scopus 로고
    • First order correction for the hydrodynamic limit of asymmetric simple exclusion processes in dimension d ≥ 3
    • C. LANDIM, S. OLLA AND H.T. YAU, First order correction for the hydrodynamic limit of asymmetric simple exclusion processes in dimension d ≥ 3, Commun. Pure Appl. Math., 50 (1997), pp. 149-203. 261
    • (1997) Commun. Pure Appl. Math. , vol.50 , pp. 149-203
    • Landim, C.1    Olla, S.2    Yau, H.T.3
  • 187
    • 0030352490 scopus 로고    scopus 로고
    • Spectral gap for zero-range, dynamics
    • C. LANDIM, S. SETHURAMAN AND S. VARADHAN, Spectral gap for zero-range, dynamics, Ann. Probab., 24 (1996), pp. 1871-1902. 234
    • (1996) Ann. Probab. , vol.24 , pp. 1871-1902
    • Landim, C.1    Sethuraman, S.2    Varadhan, S.3
  • 188
    • 84990631987 scopus 로고
    • Large deviations of interacting particle systems in infinite volume
    • C. LANDIM AND H.-T. YAU, Large deviations of interacting particle systems in infinite volume, Commun. Pure Appl. Math., 48 (1995), pp. 339-379 238
    • (1995) Commun. Pure Appl. Math. , vol.48 , pp. 339-379
    • Landim, C.1    Yau, H.-T.2
  • 190
    • 0001772594 scopus 로고
    • The effect of an external field on an interface., entropic repulsion
    • J.L. LEBOWITZ AND C. MAES, The effect of an external field on an interface., entropic repulsion, J. Statis. Phys., 46 (1987), pp. 39-49. 112, 193
    • (1987) J. Statis. Phys. , vol.46 , pp. 39-49
    • Lebowitz, J.L.1    Maes, C.2
  • 191
    • 0000328761 scopus 로고    scopus 로고
    • Stability of droplets and channels on homogeneous and structured surfaces
    • P. LENZ AND R. LIPOWSKY, Stability of droplets and channels on homogeneous and structured surfaces, Eur. Phys. J. E, 1 (2000), pp. 249-262. 203
    • (2000) Eur. Phys. J. E , vol.1 , pp. 249-262
    • Lenz, P.1    Lipowsky, R.2
  • 192
    • 0035263668 scopus 로고    scopus 로고
    • Wetting of ring-shaped surface domains
    • P. LENZ, W. FENZL AND R. LIPOWSKY, Wetting of ring-shaped surface domains, Europhys. Lett., 53 (2001), pp. 618-624. 203
    • (2001) Europhys. Lett. , vol.53 , pp. 618-624
    • Lenz, P.1    Fenzl, W.2    Lipowsky, R.3
  • 195
    • 84990576543 scopus 로고
    • Stochastic differential equations with reflecting boundary conditions
    • P.L. LIONS AND A.-S. SZNITMAN, Stochastic differential equations with reflecting boundary conditions, Commun. Pure Appl. Math., 37 (1984), pp. 511-537. 239
    • (1984) Commun. Pure Appl. Math. , vol.37 , pp. 511-537
    • Lions, P.L.1    Sznitman, A.-S.2
  • 196
    • 0035300730 scopus 로고    scopus 로고
    • Structured surfaces and morphological wetting transitions
    • R. LIPOWSKY, Structured surfaces and morphological wetting transitions, Interface Science 9 (2001), pp. 105-115. 203
    • (2001) Interface Science , vol.9 , pp. 105-115
    • Lipowsky, R.1
  • 197
    • 0035082426 scopus 로고    scopus 로고
    • Morphological wetting transitions at chemically structured surfaces
    • R. LIPOWSKY, Morphological wetting transitions at chemically structured surfaces, Current Opinion in Colloid and Interface Science 6 (2001), pp. 40-48. 203
    • (2001) Current Opinion in Colloid and Interface Science , vol.6 , pp. 40-48
    • Lipowsky, R.1
  • 198
    • 21344471960 scopus 로고
    • Hydrodynamic scaling limits with deterministic initial configurations
    • S. LU, Hydrodynamic scaling limits with deterministic initial configurations, Ann. Probab., 23 (1995), pp. 1831-1852. 231
    • (1995) Ann. Probab. , vol.23 , pp. 1831-1852
    • Lu, S.1
  • 199
    • 21144481999 scopus 로고
    • Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
    • S.L. LU AND H.-T. YAU, Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics, Commun. Math. Phys., 156 (1993), pp. 399-433. 234
    • (1993) Commun. Math. Phys. , vol.156 , pp. 399-433
    • Lu, S.L.1    Yau, H.-T.2
  • 201
    • 8744241681 scopus 로고    scopus 로고
    • Limiting shape for directed percolation models
    • J.B. MARTIN, Limiting shape for directed percolation models, Ann. Probab., 32 (2004), pp. 2908-2937. 261
    • (2004) Ann. Probab. , vol.32 , pp. 2908-2937
    • Martin, J.B.1
  • 202
    • 85009412621 scopus 로고    scopus 로고
    • Concentration inequalities and model selection
    • "Ecole d'Eté de Probabilités de Saint-Flour XXXIII-2003" (ed. Picard)
    • P. MASSART, Concentration inequalities and model selection, "Ecole d'Eté de Probabilités de Saint-Flour XXXIII-2003" (ed. Picard), Lect. Notes Math., Springer, 2005. 148
    • (2005) Lect. Notes Math., Springer , pp. 148
    • Massart, P.1
  • 203
    • 0000565923 scopus 로고
    • Convexity properties of the surface tension and equilibrium crystals
    • A. MESSAGER, S. MIRACLE-SOLÉ AND J. RUIZ, Convexity properties of the surface tension and equilibrium crystals, J. Statis. Phys., 67 (1992), pp. 449-470. 157
    • (1992) J. Statis. Phys. , vol.67 , pp. 449-470
    • Messager, A.1    Miracle-Solé, S.2    Ruiz, J.3
  • 204
    • 0001684239 scopus 로고
    • Large deviations for trajectories of multi-dimensional random walks
    • A.A. MOGUL'SKII, Large deviations for trajectories of multi-dimensional random walks, Theory Probab. Appl., 21 (1976), pp. 300-315. 163, 177
    • (1976) Theory Probab. Appl. , vol.21 , pp. 300-315
    • Mogul'skii, A.A.1
  • 205
    • 0002142597 scopus 로고    scopus 로고
    • Variational models for microstructure and phase transitions
    • Calculus of variations and geometric evolution problems (Getraro, 1996), Springer
    • S. MÜLLER, Variational models for microstructure and phase transitions, In: Calculus of variations and geometric evolution problems (Getraro, 1996), Lect. Notes Math., 1713 (1999), Springer, pp. 85-210. 216
    • (1999) Lect. Notes Math. , vol.1713 , pp. 85-210
    • Müller, S.1
  • 206
    • 0031540540 scopus 로고    scopus 로고
    • On homogenixation and scaling limit of some gradient perturbations of a massless free field
    • A. NADDAF AND T. SPENCER, On homogenixation and scaling limit of some gradient perturbations of a massless free field, Commun. Math. Phys., 183 (1997), pp. 55-84. 112, 132, 137, 150, 204, 236
    • (1997) Commun. Math. Phys. , vol.183 , pp. 55-84
    • Naddaf, A.1    Spencer, T.2
  • 207
    • 0038443251 scopus 로고    scopus 로고
    • Hydrodynamic limit for the Ginzburg-Landau ▽φ interface model with a conservation law
    • T. NISHIKAWA, Hydrodynamic limit for the Ginzburg-Landau ▽φ interface model with a conservation law, J. Math. Sci. Univ. Tokyo., 9 (2002), pp. 481-519. 233
    • (2002) J. Math. Sci. Univ. Tokyo. , vol.9 , pp. 481-519
    • Nishikawa, T.1
  • 208
    • 0242370921 scopus 로고    scopus 로고
    • Hydrodynamic limit for the Ginzburg-Landau ▽φ interface model with boundary conditions
    • T. NISHIKAWA, Hydrodynamic limit for the Ginzburg-Landau ▽φ interface model with boundary conditions, Probab. Theory Relat. Fields, 127 (2003), pp. 205-227. 218
    • (2003) Probab. Theory Relat. Fields , vol.127 , pp. 205-227
    • Nishikawa, T.1
  • 209
    • 1642548932 scopus 로고    scopus 로고
    • Far-from-equilibrium dynamics
    • Iwanami Series in Modern Math., Amer. Math. Soc., Providence, RI
    • Y. NISHIURA, Far-from-equilibrium dynamics, Translations of Math. Monographs, 209, Iwanami Series in Modern Math., Amer. Math. Soc., Providence, RI, 2002, xx+311 pp. 235
    • (2002) Translations of Math. Monographs , vol.209
    • Nishiura, Y.1
  • 210
    • 0033440601 scopus 로고    scopus 로고
    • Smoluchowski's coagulation equation: Uniqueness, non-uniqueness and a hydrodynamic limit for the stochastic coalescent
    • J. NORRIS, Smoluchowski's coagulation equation: uniqueness, non-uniqueness and a hydrodynamic limit for the stochastic coalescent, Ann. Appl. Prob., 9 (1999), pp. 78-109. 260
    • (1999) Ann. Appl. Prob. , vol.9 , pp. 78-109
    • Norris, J.1
  • 211
    • 0034340686 scopus 로고    scopus 로고
    • Cluster coagulation
    • J. NORRIS, Cluster coagulation, Commun. Math. Phys., 209 (2000), pp. 407-435. 260
    • (2000) Commun. Math. Phys. , vol.209 , pp. 407-435
    • Norris, J.1
  • 212
    • 0002707568 scopus 로고
    • White noise driven quasilinear SPDEs with reflection
    • D. NUALART AND E. PARDOUX, White noise driven quasilinear SPDEs with reflection, Probab. Theory Relat. Fields, 93 (1992), pp. 77-89. 241
    • (1992) Probab. Theory Relat. Fields , vol.93 , pp. 77-89
    • Nualart, D.1    Pardoux, E.2
  • 213
    • 33748860963 scopus 로고
    • Instability of interfaces and pattern formation
    • Kyôritsu, in Japanese
    • T. OHTA, Instability of interfaces and pattern formation, Frontiers of Physics, 10, Kyôritsu, 1985, in Japanese. 258
    • (1985) Frontiers of Physics , vol.10 , pp. 258
    • Ohta, T.1
  • 214
    • 33748855270 scopus 로고    scopus 로고
    • Mathematical theory on interfacial dynamics
    • in Japanese
    • T. OHTA, Mathematical theory on interfacial dynamics, Nihon-Hyôronsha, 1997, in Japanese. 113
    • (1997) Nihon-Hyôronsha , pp. 113
    • Ohta, T.1
  • 215
    • 3643077019 scopus 로고
    • Universal, scaling in the motion of random interfaces
    • T. OHTA, D. JASNOW AND K. KAWASAKI, Universal, scaling in the motion of random interfaces, Physical Review Letters, 49 (1982), pp. 1223-1226. 258
    • (1982) Physical Review Letters , vol.49 , pp. 1223-1226
    • Ohta, T.1    Jasnow, D.2    Kawasaki, K.3
  • 216
    • 0033241779 scopus 로고    scopus 로고
    • Interface, surface tension and reentrant pinning transition in the 2D Ising model
    • C.-E. PFISTER AND Y. VELENIK, Interface, surface tension and reentrant pinning transition in the 2D Ising model, Commun. Math. Phys., 204 (1999), pp. 269-312. 174, 175, 198, 202
    • (1999) Commun. Math. Phys. , vol.204 , pp. 269-312
    • Pfister, C.-E.1    Velenik, Y.2
  • 217
    • 0042416901 scopus 로고    scopus 로고
    • Surface order large deviations for Ising, Potts and percolation models
    • A. PISZTORA, Surface order large deviations for Ising, Potts and percolation models, Probab. Theory Relat. Fields, 104 (1996), pp. 427-466. 171
    • (1996) Probab. Theory Relat. Fields , vol.104 , pp. 427-466
    • Pisztora, A.1
  • 218
    • 0001208378 scopus 로고    scopus 로고
    • On a likely shape of the random Ferrers diagram
    • B. PITTEL, On a likely shape of the random Ferrers diagram, Adv. Appl. Math., 18 (1997), pp. 432-488. 260
    • (1997) Adv. Appl. Math. , vol.18 , pp. 432-488
    • Pittel, B.1
  • 219
    • 0012620162 scopus 로고    scopus 로고
    • Current fluctuations for the totally asymmetric simple exclusion process
    • "In and Out of Equilibrium (ed. Sidoravicius, Mambucaba, 2000)", pp. 185-204, Birkhäuser
    • M. PRÄHOFER AND H. SPOHN, Current fluctuations for the totally asymmetric simple exclusion process, in "In and Out of Equilibrium (ed. Sidoravicius, Mambucaba, 2000)", pp. 185-204, Progr. Probab., 51, Birkhäuser, 2002. 261
    • (2002) Progr. Probab. , vol.51 , pp. 261
    • Prähofer, M.1    Spohn, H.2
  • 220
    • 0141450340 scopus 로고    scopus 로고
    • Scale invariance of the PNG droplet and the Airy process
    • M. PRÄHOFER AND H. SPOHN, Scale invariance of the PNG droplet and the Airy process, J. Statist. Phys., 108 (2002), pp. 1071-1106. 261
    • (2002) J. Statist. Phys. , vol.108 , pp. 1071-1106
    • Prähofer, M.1    Spohn, H.2
  • 221
    • 84990628122 scopus 로고
    • Diffusion of color in the simple exclusion process
    • J. QUASTEL, Diffusion of color in the simple exclusion process, Commun. Pure Appl. Math. 45, 623-679 (1992). 250
    • (1992) Commun. Pure Appl. Math. , vol.45 , Issue.623-679 , pp. 250
    • Quastel, J.1
  • 223
    • 0003356522 scopus 로고
    • Hydrodynamic limit for a system with finite range interactions
    • F. REZAKHANLOU, Hydrodynamic limit for a system with finite range interactions, Commun. Math. Phys., 129 (1990), pp. 445-480. 232
    • (1990) Commun. Math. Phys. , vol.129 , pp. 445-480
    • Rezakhanlou, F.1
  • 225
    • 0037766450 scopus 로고    scopus 로고
    • Continuum limit for some growth models
    • F. REZAKHANLOU, Continuum limit for some growth models, Stoch. Proc. Appl., 101 (2002), pp. 1-41. 241
    • (2002) Stoch. Proc. Appl. , vol.101 , pp. 1-41
    • Rezakhanlou, F.1
  • 226
    • 0035568569 scopus 로고    scopus 로고
    • Continuum limit for some growth models II
    • F. REZAKHANLOU, Continuum limit for some growth models II, Ann. Probab., 29 (2001), pp. 1329-1372. 241
    • (2001) Ann. Probab. , vol.29 , pp. 1329-1372
    • Rezakhanlou, F.1
  • 228
    • 0004022190 scopus 로고    scopus 로고
    • Statistical Physics of Crystal Growth
    • Y. SAITO, Statistical Physics of Crystal Growth, World Sci., 1996. 113
    • (1996) World Sci. , pp. 113
    • Saito, Y.1
  • 229
    • 33746293464 scopus 로고    scopus 로고
    • The reversible measures of interacting diffusion system with plural conservation laws
    • H. SAKAGAWA, The reversible measures of interacting diffusion system with plural conservation laws, Markov Process. Related Fields, 7 (2001), pp. 289-300. 215
    • (2001) Markov Process. Related Fields , vol.7 , pp. 289-300
    • Sakagawa, H.1
  • 230
    • 0038336793 scopus 로고    scopus 로고
    • Entropic repulsion for a Gaussian lattice field with finite range interaction
    • H. SAKAGAWA, Entropic repulsion for a Gaussian lattice field with finite range interaction, J. Math. Phys., 44 (2003), pp. 2939-2951. 196
    • (2003) J. Math. Phys. , vol.44 , pp. 2939-2951
    • Sakagawa, H.1
  • 231
    • 0742300917 scopus 로고    scopus 로고
    • Entropie repulsion for two dimensional multi-layered harmonic crystals
    • H. SAKAGAWA, Entropie repulsion for two dimensional multi-layered harmonic crystals, J. Statist. Phys., 114 (2004), pp. 37-49. 196
    • (2004) J. Statist. Phys. , vol.114
    • Sakagawa, H.1
  • 233
    • 0033243145 scopus 로고    scopus 로고
    • Existence of hydrodynamics for the totally asymmetric simple K-exclusion process
    • T. SEPPÄLÄINEN, Existence of hydrodynamics for the totally asymmetric simple K-exclusion process, Aim. Probab., 27 (1999), pp. 361-415. 241
    • (1999) Aim. Probab. , vol.27 , pp. 361-415
    • Seppäläinen, T.1
  • 235
    • 0001359823 scopus 로고
    • Infinite-dimensional stochastic differential equations and their applications
    • T. SHIGA AND A. SHIMIZU, Infinite-dimensional stochastic differential equations and their applications, J. Math. Kyoto Univ., 20 (1980), pp. 395-416. 214, 215
    • (1980) J. Math. Kyoto Univ. , vol.20 , pp. 395-416
    • Shiga, T.1    Shimizu, A.2
  • 236
    • 33646716561 scopus 로고    scopus 로고
    • Stochastic analysis
    • Iwanami Series in Modern Math., Amer. Math. Soc., Providence, RI
    • I. SHIGEKAWA, Stochastic Analysis, Translations of Math. Monographs, 224, Iwanami Series in Modern Math., Amer. Math. Soc., Providence, RI, 2004, 182 pp. 131
    • (2004) Translations of Math. Monographs , vol.224
    • Shigekawa, I.1
  • 237
    • 0035617713 scopus 로고    scopus 로고
    • The Wulff construction in statistical mechanics and combinatorics
    • S. SHLOSMAN, The Wulff construction in statistical mechanics and combinatorics, Russian Math. Surveys, 56 (2001), pp. 709-738. 172, 258, 259
    • (2001) Russian Math. Surveys , vol.56 , pp. 709-738
    • Shlosman, S.1
  • 240
    • 33645536910 scopus 로고
    • Distribution of some functionals of the integral of a random walk
    • YA.G. SINAI, Distribution of some functionals of the integral of a random walk, Theoret. Math. Phys., 90 (1992), pp. 219-241. 196
    • (1992) Theoret. Math. Phys. , vol.90 , pp. 219-241
    • Sinai, Ya.G.1
  • 241
    • 0037703286 scopus 로고    scopus 로고
    • Correlation asyrnptotics and Witten Laplacians
    • J. SJÖSTRAND, Correlation asyrnptotics and Witten Laplacians, St. Petersburg Math. J., 8 (1.997), pp. 123-147. 142
    • (1997) St. Petersburg Math. J. , vol.8 , pp. 123-147
    • Sjöstrand, J.1
  • 244
    • 34250082945 scopus 로고
    • Interface motion in models with stochastic dynamics
    • H. SPOHN, Interface motion in models with stochastic dynamics, J. Statis. Phys., 71 (1993), pp. 1081-1132. 158, 232, 233, 249, 257
    • (1993) J. Statis. Phys. , vol.71 , pp. 1081-1132
    • Spohn, H.1
  • 245
    • 84944815695 scopus 로고
    • Über einige lineare partielle Differenzengleichungen mit konstanten Koeffizienten, I, II, III
    • A. STÖHR, Über einige lineare partielle Differenzengleichungen mit konstanten Koeffizienten, I, II, III, Math. Nachr., 3 (1950), pp. 208-242, pp. 295-315, pp. 330-357. 133
    • (1950) Math. Nachr. , vol.3 , pp. 208-242
    • Stöhr, A.1
  • 246
    • 84980153169 scopus 로고
    • Diffusion processes with boundary conditions
    • D.W. STROOCK AND S.R.S. VARADHAN, Diffusion processes with boundary conditions, Commun. Pure Appl. Math., 24 (1971), 147-225. 245
    • (1971) Commun. Pure Appl. Math. , vol.24 , pp. 147-225
    • Stroock, D.W.1    Varadhan, S.R.S.2
  • 247
    • 33748882249 scopus 로고
    • On the existence and uniqueness of diffusion processes with Wentzell's boundary conditions
    • S. TAKANOBU AND S. WATANABE, On the existence and uniqueness of diffusion processes with Wentzell's boundary conditions, J. Math. Kyoto Univ., 28 (1988), pp. 71-80. 245
    • (1988) J. Math. Kyoto Univ. , vol.28 , pp. 71-80
    • Takanobu, S.1    Watanabe, S.2
  • 248
    • 84972526612 scopus 로고
    • Stochastic differential equations with reflecting boundary condition in convex regions
    • H. TANAKA, Stochastic differential equations with reflecting boundary condition in convex regions, Hiroshima Math. J., 9 (1979), pp. 163-177. 239
    • (1979) Hiroshima Math. J. , vol.9 , pp. 163-177
    • Tanaka, H.1
  • 249
    • 0038609573 scopus 로고    scopus 로고
    • Localization transition of d-friendly walkers
    • H. TANEMURA AND N. YOSHIDA, Localization transition of d-friendly walkers, Probab. Theory Relat. Fields., 125 (2003), pp. 593-608. 202
    • (2003) Probab. Theory Relat. Fields. , vol.125 , pp. 593-608
    • Tanemura, H.1    Yoshida, N.2
  • 250
    • 0003324465 scopus 로고
    • Large deviations and applications
    • S.R.S. VARADHAN, Large Deviations and Applications, SIAM, 1984. 177, 180
    • (1984) SIAM , pp. 177
    • Varadhan, S.R.S.1
  • 252
    • 33244465143 scopus 로고    scopus 로고
    • Large deviations for the asymmetric simple exclusion process
    • Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (2002, eds. Funaki and Osada), Math. Soc. Japan
    • S.R.S. VARADHAN, Large deviations for the asymmetric simple exclusion process, Proceedings of Shonan/Kyoto meetings "Stochastic Analysis on Large Scale Interacting Systems" (2002, eds. Funaki and Osada), Adv. Stud. Pure Math., 39, Math. Soc. Japan, 2004, pp. 1-27. 261
    • (2004) Adv. Stud. Pure Math. , vol.39 , pp. 1-27
    • Varadhan, S.R.S.1
  • 253
    • 2442565755 scopus 로고    scopus 로고
    • Entropic repulsion of an interface in an external field
    • Y. VELENIK, Entropic repulsion of an interface in an external field, Probab. Theory Relat. Fields, 129 (2004), pp. 83-112. 202
    • (2004) Probab. Theory Relat. Fields , vol.129 , pp. 83-112
    • Velenik, Y.1
  • 254
    • 2342649382 scopus 로고    scopus 로고
    • Statistical mechanics of combinatorial partitions, and their limit shapes
    • A.M. VERSHIK, Statistical mechanics of combinatorial partitions, and their limit shapes, Funct. Anal. Appl., 30 (1996), pp. 90-105. 258, 259
    • (1996) Funct. Anal. Appl. , vol.30 , pp. 90-105
    • Vershik, A.M.1
  • 256
    • 0348151487 scopus 로고
    • A free boundary problem for non-radial-symmetric quasi-linear elliptic equations
    • G.S. WEISS, A free boundary problem for non-radial-symmetric quasi-linear elliptic equations, Adv. Math. Sci. Appl., 5 (1995), pp. 497-555. 172
    • (1995) Adv. Math. Sci. Appl. , vol.5 , pp. 497-555
    • Weiss, G.S.1
  • 258
    • 0001421454 scopus 로고
    • Zur Frage, der Geschwindigkeit des Wachsthums und der Auflösung der Krystallflächen
    • G. WULFF, Zur Frage, der Geschwindigkeit des Wachsthums und der Auflösung der Krystallflächen, Z. Krystallogr., 34 (1901), pp. 449-530. 109
    • (1901) Z. Krystallogr. , vol.34 , pp. 449-530
    • Wulff, G.1
  • 260
    • 3042771064 scopus 로고    scopus 로고
    • Fluctuations for a ▽φ interface model with repulsion from a wall
    • L. ZAMBOTTI, Fluctuations for a ▽φ interface model with repulsion from a wall, Probab. Theory Relat. Fields, 129 (2004), pp. 315-339. 242
    • (2004) Probab. Theory Relat. Fields , vol.129 , pp. 315-339
    • Zambotti, L.1
  • 261
    • 0039372391 scopus 로고
    • Equilibrium fluctuations for one-dimensional Ginzburg-Landau lattice model
    • M. ZHU, Equilibrium fluctuations for one-dimensional Ginzburg-Landau lattice model, Nagoya Math. J., 117 (1990), pp. 63-92. 214
    • (1990) Nagoya Math. J. , vol.117 , pp. 63-92
    • Zhu, M.1
  • 262
    • 0039964780 scopus 로고
    • The reversible measures of a conservative system with finite range interactions
    • "Nonlinear Stochastic PDEs: Hydrodynamic Limit and Burgers' Turbulence" (eds. Funaki and Woyczynski), Univ. Minnesota, Springer, New York
    • M. ZHU, The reversible measures of a conservative system with finite range interactions, "Nonlinear Stochastic PDEs: Hydrodynamic Limit and Burgers' Turbulence" (eds. Funaki and Woyczynski), IMA volume 77 (1995), Univ. Minnesota, Springer, New York, pp. 53-64. 215
    • (1995) IMA , vol.77 , pp. 53-64
    • Zhu, M.1


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