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Volumn 29, Issue 3, 2001, Pages 1262-1302

Renormalization of the voter model in equilibrium

Author keywords

Green's function of random walks; Interacting particle systems; Renormalization

Indexed keywords


EID: 0035567270     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1015345603     Document Type: Article
Times cited : (12)

References (15)
  • 1
    • 0039178883 scopus 로고
    • Renormalizing the 3-dimensional voter model
    • BRAMSON, M. D. and GRIFFEATH, D. (1979), Renormalizing the 3-dimensional voter model. Ann. Probab. 7 418-432.
    • (1979) Ann. Probab. , vol.7 , pp. 418-432
    • Bramson, M.D.1    Griffeath, D.2
  • 3
    • 21144474577 scopus 로고
    • Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation
    • DAWSON, D. A. and GREVEN, A. (1993). Hierarchical models of interacting diffusions: multiple time scale phenomena, phase transition and pattern of cluster-formation. Probab. Theory Related Fields 96 435-473.
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 435-473
    • Dawson, D.A.1    Greven, A.2
  • 5
    • 0030365226 scopus 로고    scopus 로고
    • Cluster formation in a stepping-stone model with continuous, hierarchically structured sites
    • EVANS, S. N. and FLEISCHMANN, K. (1996). Cluster formation in a stepping-stone model with continuous, hierarchically structured sites. Ann. Probab. 24 1926-1952.
    • (1996) Ann. Probab. , vol.24 , pp. 1926-1952
    • Evans, S.N.1    Fleischmann, K.2
  • 6
    • 21344479682 scopus 로고
    • Diffusive clustering in an infinite system of hierarchically interacting diffusions
    • FLEISCHMANN, K. and GREVEN, A. (1994). Diffusive clustering in an infinite system of hierarchically interacting diffusions. Probab. Theory Related Fields 98 517-566.
    • (1994) Probab. Theory Related Fields , vol.98 , pp. 517-566
    • Fleischmann, K.1    Greven, A.2
  • 8
    • 0000550994 scopus 로고
    • Ergodic theorems for weakly interacting infinite systems and the voter model
    • HOLLEY, R. A. and LIGGETT, T. M. (1975). Ergodic theorems for weakly interacting infinite systems and the voter model. Ann. Probab. 3 643-663.
    • (1975) Ann. Probab. , vol.3 , pp. 643-663
    • Holley, R.A.1    Liggett, T.M.2
  • 9
    • 0001181229 scopus 로고
    • Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
    • HOLLEY, R. A. and STROOCK, D. W. (1978). Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions. Publ. Res. Inst. Math. Sci. Kyoto Univ. 14 741-788.
    • (1978) Publ. Res. Inst. Math. Sci. Kyoto Univ. , vol.14 , pp. 741-788
    • Holley, R.A.1    Stroock, D.W.2
  • 12
    • 0041014124 scopus 로고
    • Renormalizing the voter model: Space and space-time renormalization
    • MAJOR, P. (1980). Renormalizing the voter model: Space and space-time renormalization. Studia Sci. Math. Hungar. 15 321-341.
    • (1980) Studia Sci. Math. Hungar. , vol.15 , pp. 321-341
    • Major, P.1
  • 13
    • 0039827420 scopus 로고
    • The central limit theorem for Gibbsian random fields
    • MALYŠEV, V. A. (1975). The central limit theorem for Gibbsian random fields. Soviet Math. Dokl. 16 1141-1145.
    • (1975) Soviet Math. Dokl. , vol.16 , pp. 1141-1145
    • Malyšev, V.A.1
  • 14
    • 0000293561 scopus 로고
    • Results for the stepping stone model for migration in population genetics
    • SAWYER, S. (1976). Results for the stepping stone model for migration in population genetics. Ann. Probab. 4 699-728.
    • (1976) Ann. Probab. , vol.4 , pp. 699-728
    • Sawyer, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.