LARGE DEVIATIONS FOR Z(D)-ACTIONS

被引：51

作者：

EIZENBERG, A

KIFER, Y

WEISS, B

机构：

[1] Institute of Mathematics, The Hebrew University, Jerusalem

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 164卷 / 03期

关键词：

D O I：

10.1007/BF02101485

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish large deviations bounds for translation invariant Gibbs measures of multidimensional subshifts of finite type. This generalizes [FO] and partially [C, O, and B], where only full shifts were considered. Our framework includes, in particular, the hard-core lattice gas models which are outside of the scope of [FO, C, O, and B].

引用

页码：433 / 454

页数：22

共 19 条

[1] [Anonymous], 1989, LARGE DEVIATIONS
[2] ON THE LARGE DEVIATION PRINCIPLE FOR STATIONARY WEAKLY DEPENDENT RANDOM-FIELDS
BRYC, W
[J]. ANNALS OF PROBABILITY, 1992, 20 (02) : 1004 - 1030
[3] COMETS F, 1986, CR ACAD SCI I-MATH, V303, P511
[4] MICROCANONICAL DISTRIBUTIONS FOR LATTICE GASES
DEUSCHEL, JD
STROOCK, DW
ZESSIN, H
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 139 (01) : 83 - 101
[5] ASYMPTOTIC EVALUATION OF CERTAIN MARKOV PROCESS EXPECTATIONS FOR LARGE TIME .4.
DONSKER, MD
VARADHAN, SRS
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (02) : 183 - 212
[6] LARGE DEVIATIONS FOR THE EMPIRICAL FIELD OF A GIBBS MEASURE
FOLLMER, H
OREY, S
[J]. ANNALS OF PROBABILITY, 1988, 16 (03) : 961 - 977
[7] ENTROPY AND INFORMATION GAIN IN RANDOM FIELDS
FOLLMER, H
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1973, 26 (03): : 207 - 217
[8] Georgii H-O, 1988, GIBBS MEASURES PHASE
[9] LARGE DEVIATIONS IN DYNAMIC-SYSTEMS AND STOCHASTIC-PROCESSES
KIFER, Y
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 321 (02) : 505 - 524
[10] LARGE DEVIATIONS, AVERAGING AND PERIODIC-ORBITS OF DYNAMICAL-SYSTEMS
KIFER, Y
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 162 (01) : 33 - 46

← 1 2 →