SOME LIMIT-THEOREMS RELATED TO THE PHASE-SEPARATION LINE IN THE TWO-DIMENSIONAL ISING-MODEL

被引：16

作者：

HIGUCHI, Y ^{[1
]}

机构：

[1] KOBE UNIV,FAC SCI,DEPT MATH,KOBE 657,JAPAN

来源：

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1979年 / 50卷 / 03期

关键词：

D O I：

10.1007/BF00534152

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove that at low enough temperatures the phase separation line, when it is suitably normalized, converges almost surely in a suitable probability space to the path of a one-dimensional Brownian bridge. The convergence is in the sense of the distance between compact sets in [0, 1] ×R1. © 1979 Springer-Verlag.

引用

页码：287 / 315

页数：29

共 7 条

[1] Billingsley P, 1968, CONVERGENCE PROBABIL
[2] LOCAL CENTRAL LIMIT THEOREM FOR GIBBS PROCESSES
DELGROSSO, G
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 37 (02) : 141 - 160
[3] DURRETT R, SHAPE RANDOM STRING
[4] PHASE SEPARATION LINE IN 2-DIMENSIONAL ISING-MODEL
GALLAVOTTI, G
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1972, 27 (02) : 103 - +
[5] SURFACE-TENSION IN ISING-MODEL
GALLAVOTTI, G
MARTINLO.A
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1972, 25 (02) : 87 - +
[6] Higuchi Y., 1978, PUBL RIMS KYOTO U, V14, P53
[7] SKOROKHOD AV, 1961, STUDIES THEORY RANDO

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