메뉴 건너뛰기




Volumn 29, Issue 3, 2001, Pages 1138-1172

Equilibrium fluctuations for ∇φ interface model

Author keywords

De Giorgi Nash Moser and Aronson estimates; Equilibrium fluctuations; Gibbs measures; Homogenization; Interface model; Langevin dynamics; Massless field

Indexed keywords


EID: 0038845422     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1015345600     Document Type: Article
Times cited : (113)

References (25)
  • 1
    • 84968488966 scopus 로고
    • Bounds on the fundamental solution of a parabolic equation
    • ARONSON, D. G. (1967). Bounds on the fundamental solution of a parabolic equation. Bull. Amer. Math. Soc. 73 890-896.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 890-896
    • Aronson, D.G.1
  • 3
    • 49549132663 scopus 로고
    • On extensions of the Brun-Minkowski and Prekopa-Leinler theorems
    • BRASCAMP, H. J. and LIEB, E. (1976). On extensions of the Brun-Minkowski and Prekopa-Leinler theorems. J. Funct. Anal. 22 366-389.
    • (1976) J. Funct. Anal. , vol.22 , pp. 366-389
    • Brascamp, H.J.1    Lieb, E.2
  • 6
    • 0000295529 scopus 로고
    • Fluctuations for one-dimensional Ginzburg-Landau models in nonequilibrium
    • CHANG, C. C. and YAU, H. T. (1992). Fluctuations for one-dimensional Ginzburg-Landau models in nonequilibrium. Comm. Math. Phys. 145 209-234.
    • (1992) Comm. Math. Phys. , vol.145 , pp. 209-234
    • Chang, C.C.1    Yau, H.T.2
  • 7
    • 0001131105 scopus 로고
    • An invariance principle for reversible markov processes. Applications to random walk in random environments
    • DE MASI, A., FERRARI, P., GOLDSTEIN, S. and WICK, D. (1989). An invariance principle for reversible markov processes. Applications to random walk in random environments. J. Statist. Phys. 55 787-855.
    • (1989) J. Statist. Phys. , vol.55 , pp. 787-855
    • De Masi, A.1    Ferrari, P.2    Goldstein, S.3    Wick, D.4
  • 10
    • 0000839154 scopus 로고
    • The De Giorgi-Moser Harnack principle via the old ideas of Nash
    • FABES, E. and STROOCK, D. (1987). The De Giorgi-Moser Harnack principle via the old ideas of Nash. Arch. Rational Mech. Anal. 96 327-338.
    • (1987) Arch. Rational Mech. Anal. , vol.96 , pp. 327-338
    • Fabes, E.1    Stroock, D.2
  • 12
    • 0008987941 scopus 로고
    • Infinite lattice systems of interacting diffusion processes, existence and regularity properties
    • FRITZ, J. (1982). Infinite lattice systems of interacting diffusion processes, existence and regularity properties. Z. Wahrsch. Gebiete 59 291-309.
    • (1982) Z. Wahrsch. Gebiete , vol.59 , pp. 291-309
    • Fritz, J.1
  • 14
    • 34249763895 scopus 로고
    • On the correlation for Kac-like models in the convex case
    • HELFFER, B. and SJÖSTRAND, J. (1994). On the correlation for Kac-like models in the convex case. J. Statist. Phys. 74 349-409.
    • (1994) J. Statist. Phys. , vol.74 , pp. 349-409
    • Helffer, B.1    Sjöstrand, J.2
  • 15
    • 34250130646 scopus 로고
    • Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
    • KIPNIS, C. and VARADHAN, S. R. S. (1986). Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Comm. Math. Phys. 104 1-19.
    • (1986) Comm. Math. Phys. , vol.104 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.S.2
  • 17
    • 0032187207 scopus 로고    scopus 로고
    • Convection diffusion equations with space-time ergodic random-flow
    • LANDIM, C., OLLA, S. and YAU, H. T. (1998). Convection diffusion equations with space-time ergodic random-flow. Probab. Theory Related Fields 112 203-220.
    • (1998) Probab. Theory Related Fields , vol.112 , pp. 203-220
    • Landim, C.1    Olla, S.2    Yau, H.T.3
  • 19
    • 0001220564 scopus 로고
    • A crossing estimate for the canonical process on a Dirichlet space and a tightness result
    • LYONS, T. J. and WEIAN, Z. (1988). A crossing estimate for the canonical process on a Dirichlet space and a tightness result. Astérisque 157-158 249-271.
    • (1988) Astérisque , vol.157-158 , pp. 249-271
    • Lyons, T.J.1    Weian, Z.2
  • 20
    • 0031540540 scopus 로고    scopus 로고
    • On homogenization and scaling limit for some gradient perturbation of a massless free field
    • NADDAF, A. and SPENCER, T. (1997). On homogenization and scaling limit for some gradient perturbation of a massless free field. Comm. Math. Phys. 193 55-84.
    • (1997) Comm. Math. Phys. , vol.193 , pp. 55-84
    • Naddaf, A.1    Spencer, T.2
  • 22
    • 0001359823 scopus 로고
    • Infinite-dimensional stochastic differential equations and their applications
    • SHIGA, T. and SHIMUZO, A. (1980). Infinite-dimensional stochastic differential equations and their applications. J. Math. Kyoto Univ. 20 395-416.
    • (1980) J. Math. Kyoto Univ. , vol.20 , pp. 395-416
    • Shiga, T.1    Shimuzo, A.2
  • 25
    • 0039372391 scopus 로고
    • Equilibrium fluctuations for one-dimensional Ginzburg-Landau lattice model
    • ZHU, M. (1990). Equilibrium fluctuations for one-dimensional Ginzburg-Landau lattice model. Nagoya Math. J. 17 63-92.
    • (1990) Nagoya Math. J. , vol.17 , pp. 63-92
    • Zhu, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.