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Volumn 267, Issue , 2000, Pages 1-177

Large deviations for three dimensional supercritical percolation

(1)  Cerf, Raphaël a  

a NONE

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EID: 0003310674     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (52)

References (78)
  • 1
    • 0002190594 scopus 로고
    • On a sharp transition from area law to perimeter law in a system of random surfaces
    • M. Aizenman, J.T. Chayes, L. Chayes, J. Fröhlich and L. Russo, On a sharp transition from area law to perimeter law in a system of random surfaces, Commun. Math. Phys. 92 no.1 (1983), 19-69.
    • (1983) Commun. Math. Phys. , vol.92 , Issue.1 , pp. 19-69
    • Aizenman, M.1    Chayes, J.T.2    Chayes, L.3    Fröhlich, J.4    Russo, L.5
  • 2
    • 0000514175 scopus 로고
    • Stability of the Wulff minimum and fluctuations in shape for large finite clusters in two-dimensional percolation
    • K.S. Alexander, Stability of the Wulff minimum and fluctuations in shape for large finite clusters in two-dimensional percolation, Probab. Theory Related Fields 91 no.3/4 (1992), 507-532.
    • (1992) Probab. Theory Related Fields , vol.91 , Issue.3-4 , pp. 507-532
    • Alexander, K.S.1
  • 3
    • 0002005827 scopus 로고
    • The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
    • K.S. Alexander, J.T. Chayes and L. Chayes, The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation, Commun. Math. Phys. 131 no.1 (1990), 1-50.
    • (1990) Commun. Math. Phys. , vol.131 , Issue.1 , pp. 1-50
    • Alexander, K.S.1    Chayes, J.T.2    Chayes, L.3
  • 4
    • 0007125223 scopus 로고
    • Questions and answers about area-minimizing surfaces and geometric measure theory
    • Differential geometry: partial differential equations on manifolds. R. Greene (ed.) et al.
    • F. Almgren, Questions and answers about area-minimizing surfaces and geometric measure theory, Differential geometry: partial differential equations on manifolds. R. Greene (ed.) et al., Proc. Symp. Pure Math. 54 (1993), 29-53.
    • (1993) Proc. Symp. Pure Math. , vol.54 , pp. 29-53
    • Almgren, F.1
  • 7
    • 0039120595 scopus 로고    scopus 로고
    • Constrained minima of nonlocal free energy functional
    • G. Bellettini, M. Cassandro and E. Presutti, Constrained minima of nonlocal free energy functional, J. Statist. Phys. 84 no.5/6 (1996), 1337-1349.
    • (1996) J. Statist. Phys. , vol.84 , Issue.5-6 , pp. 1337-1349
    • Bellettini, G.1    Cassandro, M.2    Presutti, E.3
  • 8
    • 0009138906 scopus 로고    scopus 로고
    • Comparison results between minimal barriers and viscosity solutions for geometric evolutions
    • G. Bellettini, M. Novaga, Comparison results between minimal barriers and viscosity solutions for geometric evolutions, Ann. Scuola Norm. Sup. Pisa Cl. Sci.(4) 26 no.1 (1998), 97-131.
    • (1998) Ann. Scuola Norm. Sup. Pisa Cl. Sci.(4) , vol.26 , Issue.1 , pp. 97-131
    • Bellettini, G.1    Novaga, M.2
  • 11
    • 0001684131 scopus 로고
    • A general form of the covering principle and relative differentiation of additive functions
    • A.S. Besicovitch, A general form of the covering principle and relative differentiation of additive functions., Proc. Cambridge Philos. Soc. 41 (1945), 103-110.
    • (1945) Proc. Cambridge Philos. Soc. , vol.41 , pp. 103-110
    • Besicovitch, A.S.1
  • 12
    • 0006288691 scopus 로고
    • A general form of the covering principle and relative differentiation of additive functions. II
    • A.S. Besicovitch, A general form of the covering principle and relative differentiation of additive functions. II., Proc. Cambridge Philos. Soc. 42 (1946), 1-10.
    • (1946) Proc. Cambridge Philos. Soc. , vol.42 , pp. 1-10
    • Besicovitch, A.S.1
  • 15
    • 0003152974 scopus 로고
    • Misura e integrazione sugli insiemi dimensionalmente orientati I, II
    • gennaio-febbraio
    • R. Caccioppoli, Misura e integrazione sugli insiemi dimensionalmente orientati I, II, Rend. Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., Ser. VIII Vol. XII fasc. 1,2 (gennaio-febbraio 1952), 3-11, 137-146.
    • (1952) Rend. Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., Ser. VIII , vol.12 , Issue.1-2 , pp. 3-11
    • Caccioppoli, R.1
  • 16
    • 0002351557 scopus 로고
    • Misura e integrazione sulle varietà parametriche I, II, III
    • Ser. VIII 4, marzo-aprile-giugno
    • R. Caccioppoli, Misura e integrazione sulle varietà parametriche I, II, III, Rend. Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., Ser. VIII Vol. XII fasc. 3,4,6 (marzo-aprile-giugno 1952), 219-227, 365-373, 629-634.
    • (1952) Rend. Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat. , vol.12 , Issue.3-6 , pp. 219-227
    • Caccioppoli, R.1
  • 17
    • 33644536595 scopus 로고    scopus 로고
    • Large deviations for i.i.d. random compact sets
    • R. Cerf, Large deviations for i.i.d. random compact sets, Proc. Amer. Math. Soc. 127 (1999), 2431-2436.
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 2431-2436
    • Cerf, R.1
  • 18
    • 33645897506 scopus 로고    scopus 로고
    • 1 topology
    • 1 topology, J. Theor. Probab. 12 no.4 (1999), 1137-1163.
    • (1999) J. Theor. Probab. , vol.12 , Issue.4 , pp. 1137-1163
    • Cerf, R.1
  • 20
    • 0004158396 scopus 로고
    • Princeton University Press
    • L. Cesari, Surface area, Princeton University Press, 1956.
    • (1956) Surface Area
    • Cesari, L.1
  • 21
    • 0030491030 scopus 로고    scopus 로고
    • On the 2D stochastic Ising model in the phase coexistence region near the critical point
    • F. Cesi, G. Guadagni, F. Martinelli and R.H. Schonmann, On the 2D stochastic Ising model in the phase coexistence region near the critical point, J. Statist. Phys. 85 no.1/2 (1996), 55-102.
    • (1996) J. Statist. Phys. , vol.85 , Issue.1-2 , pp. 55-102
    • Cesi, F.1    Guadagni, G.2    Martinelli, F.3    Schonmann, R.H.4
  • 23
    • 0001336976 scopus 로고
    • On the existence of solutions to a problem in multidimensional segmentation
    • G. Congedo and I. Tamanini, On the existence of solutions to a problem in multidimensional segmentation, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 8 no.2 (1991), 175-195.
    • (1991) Ann. Inst. Henri Poincaré, Anal. Non Linéaire , vol.8 , Issue.2 , pp. 175-195
    • Congedo, G.1    Tamanini, I.2
  • 24
    • 0000245505 scopus 로고
    • Su una teoria generale della misura (r - 1)-dimensionale in uno spazio ad r dimensioni
    • E. De Giorgi, Su una teoria generale della misura (r - 1)-dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura Appl. IV Ser. 36 (1954), 191-213.
    • (1954) Ann. Mat. Pura Appl. IV Ser. , vol.36 , pp. 191-213
    • De Giorgi, E.1
  • 25
    • 0001844148 scopus 로고
    • Nuovi teoremi relativi alle misure (r - 1)-dimensionali in uno spazio ad r dimensioni
    • E. De Giorgi, Nuovi teoremi relativi alle misure (r - 1)-dimensionali in uno spazio ad r dimensioni, Ricerche Mat. 4 (1955), 95-113.
    • (1955) Ricerche Mat. , vol.4 , pp. 95-113
    • De Giorgi, E.1
  • 26
    • 0002194826 scopus 로고
    • Sulla proprieta isoperimetrica dell'ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita
    • E. De Giorgi, Sulla proprieta isoperimetrica dell'ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat. VIII Ser. 5, (1958), 33-44.
    • (1958) Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat. VIII Ser. , vol.5 , pp. 33-44
    • De Giorgi, E.1
  • 29
    • 0030536786 scopus 로고    scopus 로고
    • Surface order large deviations for high-density percolation
    • J.D. Deuschel and A. Pisztora, Surface order large deviations for high-density percolation, Probab. Theory Related Fields 104 no.4 (1996), 467-482.
    • (1996) Probab. Theory Related Fields , vol.104 , Issue.4 , pp. 467-482
    • Deuschel, J.D.1    Pisztora, A.2
  • 30
    • 0001539326 scopus 로고
    • Uber einen geometrischen Satz von Wulff für die Gleichgewichtsform von Kristallen
    • A. Dinghas, Uber einen geometrischen Satz von Wulff für die Gleichgewichtsform von Kristallen, Z. Kristallogr., Mineral. Petrogr. 105 Abt.A (1944), 304-314.
    • (1944) Z. Kristallogr., Mineral. Petrogr. , vol.105 ABT.A , pp. 304-314
    • Dinghas, A.1
  • 32
    • 0001568243 scopus 로고
    • Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction
    • S. Albeverio (ed.), Cambridge University Press
    • R.L. Dobrushin and S.B. Shlosman, Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction, Ideas and methods in quantum and statistical physics 2 (1992), S. Albeverio (ed.), Cambridge University Press, 461-483.
    • (1992) Ideas and Methods in Quantum and Statistical Physics , vol.2 , pp. 461-483
    • Dobrushin, R.L.1    Shlosman, S.B.2
  • 33
    • 0003346795 scopus 로고
    • Measure theory and fine properties of functions
    • Boca Raton: CRC Press
    • L.C. Evans and R.F. Gariepy, Measure theory and fine properties of functions, Studies in Advanced Mathematics, Boca Raton: CRC Press, 1992.
    • (1992) Studies in Advanced Mathematics
    • Evans, L.C.1    Gariepy, R.F.2
  • 34
    • 0003357823 scopus 로고
    • The geometry of fractal sets
    • Cambridge Univ. Press
    • K.J. Falconer, The geometry of fractal sets, Cambridge Tracts in Mathematics 85, Cambridge Univ. Press, 1985.
    • (1985) Cambridge Tracts in Mathematics , vol.85
    • Falconer, K.J.1
  • 36
    • 84974173146 scopus 로고
    • Lower semicontinuity of surface energies
    • I. Fonseca, Lower semicontinuity of surface energies, Proc. Roy. Soc. Edinb. Sect. A 120 no.1/2 (1992), 99-115.
    • (1992) Proc. Roy. Soc. Edinb. Sect. A , vol.120 , Issue.1-2 , pp. 99-115
    • Fonseca, I.1
  • 37
    • 0001118654 scopus 로고
    • The Wulff theorem revisited
    • I. Fonseca, The Wulff theorem revisited, Proc. Roy. Soc. Lond. Ser. A 432 no.1884 (1991), 125-145.
    • (1991) Proc. Roy. Soc. Lond. Ser. A , vol.432 , Issue.1884 , pp. 125-145
    • Fonseca, I.1
  • 38
    • 0032276233 scopus 로고    scopus 로고
    • Bulk and contact energies: Nucleation and relaxation
    • I. Fonseca and L. Giovanni, Bulk and contact energies: nucleation and relaxation, SIAM J. Math. Anal. 30 no.1 (1999), 190-219.
    • (1999) SIAM J. Math. Anal. , vol.30 , Issue.1 , pp. 190-219
    • Fonseca, I.1    Giovanni, L.2
  • 39
    • 84974486768 scopus 로고
    • A uniqueness proof for the Wulff theorem
    • I. Fonseca and S. Müller, A uniqueness proof for the Wulff theorem, Proc. Roy. Soc. Edinb. Sect. A 119 no.1/2 (1991), 125-136.
    • (1991) Proc. Roy. Soc. Edinb. Sect. A , vol.119 , Issue.1-2 , pp. 125-136
    • Fonseca, I.1    Müller, S.2
  • 40
    • 0040108536 scopus 로고
    • Un tipo di approssimazione "dall'interno" degli insiemi di perimetro finito
    • C. Giacomelli and I. Tamanini, Un tipo di approssimazione "dall'interno" degli insiemi di perimetro finito, Rend. Mat. Acc. Lincei s.9 v.1 (1990), 181-187.
    • (1990) Rend. Mat. Acc. Lincei S.9 , vol.1 , pp. 181-187
    • Giacomelli, C.1    Tamanini, I.2
  • 43
    • 0001626028 scopus 로고
    • The supercritical phase of percolation is well behaved
    • G.R. Grimmett and J.M. Marstrand, The supercritical phase of percolation is well behaved, Proc. Roy. Soc. Lond., Ser. A 430 no.1879 (1990), 439-457.
    • (1990) Proc. Roy. Soc. Lond., Ser. A , vol.430 , Issue.1879 , pp. 439-457
    • Grimmett, G.R.1    Marstrand, J.M.2
  • 46
    • 0031632711 scopus 로고    scopus 로고
    • On local behaviour of the phase separation line in the 2D Ising model, Probab
    • O. Hryniv, On local behaviour of the phase separation line in the 2D Ising model, Probab. Theory Related Fields 110 no.1 (1998), 91-107.
    • (1998) Theory Related Fields , vol.110 , Issue.1 , pp. 91-107
    • Hryniv, O.1
  • 47
    • 21344496131 scopus 로고
    • Large deviations for the 2D Ising model: A lower bound without cluster expansions
    • D. Ioffe, Large deviations for the 2D Ising model: a lower bound without cluster expansions, J. Statist. Phys. 74 no.1/2 (1994), 411-432.
    • (1994) J. Statist. Phys. , vol.74 , Issue.1-2 , pp. 411-432
    • Ioffe, D.1
  • 48
    • 21844490341 scopus 로고
    • c for the Ising model in two dimensions
    • c for the Ising model in two dimensions, Probab. Theory Related Fields 102 no.3 (1995), 313-330.
    • (1995) Probab. Theory Related Fields , vol.102 , Issue.3 , pp. 313-330
    • Ioffe, D.1
  • 49
    • 0032270185 scopus 로고    scopus 로고
    • Dobrushin-Kotecký-Shlosman Theorem up to the critical temperature
    • D. Ioffe and R.H. Schonmann, Dobrushin-Kotecký-Shlosman Theorem up to the critical temperature, Commun. Math. Phys. 199 no.1 (1998), 117-167.
    • (1998) Commun. Math. Phys. , vol.199 , Issue.1 , pp. 117-167
    • Ioffe, D.1    Schonmann, R.H.2
  • 50
    • 0002023496 scopus 로고
    • The probability of a large finite cluster in supercritical Bernoulli percolation
    • H. Kesten and Y. Zhang, The probability of a large finite cluster in supercritical Bernoulli percolation, Ann. Probab. 18 no.2 (1990), 537-555.
    • (1990) Ann. Probab. , vol.18 , Issue.2 , pp. 537-555
    • Kesten, H.1    Zhang, Y.2
  • 52
    • 0013478565 scopus 로고
    • Minimal surf aces of codimension one
    • Notas de Matemática 95, North-Holland
    • U. Massari and M. Miranda, Minimal surf aces of codimension one, Mathematics Studies 91, Notas de Matemática 95, North-Holland, 1984.
    • (1984) Mathematics Studies , vol.91
    • Massari, U.1    Miranda, M.2
  • 53
    • 0013077224 scopus 로고
    • Regularity properties of optimal segmentations
    • U. Massari and I. Tamanini, Regularity properties of optimal segmentations, J. Reine Angew. Math. 420 (1991), 61-84.
    • (1991) J. Reine Angew. Math. , vol.420 , pp. 61-84
    • Massari, U.1    Tamanini, I.2
  • 54
    • 0003265439 scopus 로고
    • Geometry of sets and measures in Euclidean spaces. Fractals and rectifiability
    • Cambridge Univ. Press
    • P. Mattila, Geometry of sets and measures in Euclidean spaces. Fractals and rectifiability., Cambridge Studies in Advanced Math. 44, Cambridge Univ. Press, 1995.
    • (1995) Cambridge Studies in Advanced Math. , vol.44
    • Mattila, P.1
  • 55
    • 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. Statist. Phys. 67 no.3/4 (1992), 449-470.
    • (1992) J. Statist. Phys. , vol.67 , Issue.3-4 , pp. 449-470
    • Messager, A.1    Miracle-Solé, S.2    Ruiz, J.3
  • 56
    • 21844509991 scopus 로고
    • Surface tension, step free energy, and facets in the equilibrium crystal
    • S. Miracle-Solé, Surface tension, step free energy, and facets in the equilibrium crystal, J. Statist. Phys. 79 no.1/2 (1995), 183-214.
    • (1995) J. Statist. Phys. , vol.79 , Issue.1-2 , pp. 183-214
    • Miracle-Solé, S.1
  • 57
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Commun. Pure Appl. Math. 42 no.5 (1989), 577-685.
    • (1989) Commun. Pure Appl. Math. , vol.42 , Issue.5 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 58
    • 0000981771 scopus 로고
    • Large deviations and phase separation in the two-dimensional Ising model
    • C.B. Pfister, Large deviations and phase separation in the two-dimensional Ising model, Helv. Phys. Acta 64 no.7 (1991), 953-1054.
    • (1991) Helv. Phys. Acta , vol.64 , Issue.7 , pp. 953-1054
    • Pfister, C.B.1
  • 59
    • 0031505092 scopus 로고    scopus 로고
    • Large deviations and continuum limit in the 2D Ising model
    • C.E. Pfister and Y. Velenik, Large deviations and continuum limit in the 2D Ising model, Probab. Theory Related Fields 109 no.4 (1997), 435-506.
    • (1997) Probab. Theory Related Fields , vol.109 , Issue.4 , pp. 435-506
    • Pfister, C.E.1    Velenik, Y.2
  • 60
    • 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 Related Fields 104 no.4 (1996), 427-466.
    • (1996) Probab. Theory Related Fields , vol.104 , Issue.4 , pp. 427-466
    • Pisztora, A.1
  • 64
    • 0019604316 scopus 로고
    • Three-dimensional digital topology
    • A. Rosenfeld, Three-dimensional digital topology, Inform. and Control 50 no.2 (1981), 119-127.
    • (1981) Inform. and Control , vol.50 , Issue.2 , pp. 119-127
    • Rosenfeld, A.1
  • 66
    • 0030543461 scopus 로고    scopus 로고
    • Constrained variational problem with applications to the Ising model
    • R.H. Schonmann and S.B. Shlosman, Constrained variational problem with applications to the Ising model, J. Statist. Phys. 83 no.5/6 (1996), 867-905.
    • (1996) J. Statist. Phys. , vol.83 , Issue.5-6 , pp. 867-905
    • Schonmann, R.H.1    Shlosman, S.B.2
  • 67
    • 34249762051 scopus 로고
    • Complete analyticity for 2D Ising model completed
    • R.H. Schonmann and S.B. Shlosman, Complete analyticity for 2D Ising model completed, Commun. Math. Phys. 170 no.2 (1995), 453-482.
    • (1995) Commun. Math. Phys. , vol.170 , Issue.2 , pp. 453-482
    • Schonmann, R.H.1    Shlosman, S.B.2
  • 68
    • 0032098595 scopus 로고    scopus 로고
    • Wulff droplets and the metastable relaxation of kinetic Ising models
    • R.H. Schonmann and S.B. Shlosman, Wulff droplets and the metastable relaxation of kinetic Ising models, Commun. Math. Phys. 194 no. 2 (1998), 389-462.
    • (1998) Commun. Math. Phys. , vol.194 , Issue.2 , pp. 389-462
    • Schonmann, R.H.1    Shlosman, S.B.2
  • 69
    • 84966261517 scopus 로고
    • Crystalline variational problems
    • Jean E. Taylor, Crystalline variational problems, Bull. Amer. Math. Soc. 84 no.4 (1978), 568-588.
    • (1978) Bull. Amer. Math. Soc. , vol.84 , Issue.4 , pp. 568-588
    • Taylor, J.E.1
  • 70
    • 0001123141 scopus 로고
    • Existence and structure of solutions to a class of nonelliptic variational problems
    • Jean E. Taylor, Existence and structure of solutions to a class of nonelliptic variational problems, Symposia Mathematica 14 no.4 (1974), 499-508.
    • (1974) Symposia Mathematica , vol.14 , Issue.4 , pp. 499-508
    • Taylor, J.E.1
  • 71
    • 0000500627 scopus 로고
    • Unique structure of solutions to a class of nonelliptic variational problems
    • Jean E. Taylor, Unique structure of solutions to a class of nonelliptic variational problems, Proc. Sympos. Pure Math. 27 (1975), 419-427.
    • (1975) Proc. Sympos. Pure Math. , vol.27 , pp. 419-427
    • Taylor, J.E.1
  • 73
    • 33748354629 scopus 로고
    • Generalized coarea formula and fractal sets
    • A. Visintin, Generalized coarea formula and fractal sets, Japan J. Indust. Appl. Math. 8 no.2 (1991), 175-201.
    • (1991) Japan J. Indust. Appl. Math. , vol.8 , Issue.2 , pp. 175-201
    • Visintin, A.1
  • 74
    • 0001168879 scopus 로고
    • The spaces BV and quasilinear equations
    • A.I. Vol'pert, The spaces BV and quasilinear equations, Math. USSR-Sbornik 2 no.2 (1967), 225-267,
    • (1967) Math. USSR-Sbornik , vol.2 , Issue.2 , pp. 225-267
    • Vol'Pert, A.I.1
  • 75
    • 33748367619 scopus 로고
    • translation of 115
    • translation of Mat. Sbornik, Tom 73 (115), (1967), no.2.
    • (1967) Mat. Sbornik , vol.73 , Issue.2
  • 76
    • 0001421454 scopus 로고
    • Zur Frage der Geschwindigkeit des Wachstums und der Auflösung der Krystallflächen
    • G. Wulff, Zur Frage der Geschwindigkeit des Wachstums und der Auflösung der Krystallflächen, Z. Krystallogr. 34 (1901), 449-530.
    • (1901) Mat. Sbornik , vol.34 , pp. 449-530
    • Wulff, G.1
  • 77
    • 33748352924 scopus 로고
    • Sur la dérivation des fonctions absolument additives d'ensemble
    • C. R. (Doklady)
    • B. Younovitch, Sur la dérivation des fonctions absolument additives d'ensemble., C. R. (Doklady) Acad. Sci. URSS, n. Ser. 30 (1941), 112-114.
    • (1941) Mat. Sbornik , vol.30 , pp. 112-114
    • Younovitch, B.1
  • 78
    • 0003320023 scopus 로고
    • Weakly differentiable functions. Sobolev spaces and functions of bounded variation
    • Springer-Verlag
    • W.P. Ziemer, Weakly differentiable functions. Sobolev spaces and functions of bounded variation., Graduate Texts in Mathematics 120, Springer-Verlag, 1989.
    • (1989) Graduate Texts in Mathematics , vol.120
    • Ziemer, W.P.1


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