Asymptotic decoupling and weak Gibbs measures for finite alphabet shift spaces

被引：5

作者：

Pfister, C-E ^{[1
]}

Sullivan, W. G. ^{[2
]}

机构：

[1] Ecole Polytech Fed Lausanne, Sect Math, Fac Basic Sci, Stn 8, CH-1015 Lausanne, Switzerland

[2] UCD Sch Math & Stat, Dublin 4, Ireland

来源：

NONLINEARITY | 2020年 / 33卷 / 09期

关键词：

large deviations; symbolic dynamics; thermodynamic formalism; equilibrium states; lattice systems; interacting random processes; PHASE-TRANSITION; LARGE DEVIATIONS;

D O I：

10.1088/1361-6544/ab8fb7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the spaceXin a large class of finite alphabet shift spaces (lattice models) and the class of functionsfwith bounded total oscillations, we prove that each equilibrium measure nu atf=phi is a weak Gibbs measures for phi-P(phi). In addition, the empirical measures satisfy a full large deviations principle for (X,nu).

引用

页码：4799 / 4817

页数：19

共 13 条

[1] [Anonymous], 1970, CONVEX ANAL
[2] LARGE DEVIATIONS FOR SYSTEMS WITH NON-UNIFORM STRUCTURE
Climenhaga, Vaughn
Thompson, Daniel J.
Yamamoto, Kenichiro
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (06) : 4167 - 4192
[3] EXISTENCE OF A PHASE-TRANSITION IN A ONE-DIMENSIONAL ISING FERROMAGNET
DYSON, FJ
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 12 (02) : 91 - &
[4] LARGE DEVIATIONS FOR Z(D)-ACTIONS
EIZENBERG, A
KIFER, Y
WEISS, B
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 164 (03) : 433 - 454
[5] THE PHASE-TRANSITION IN THE ONE-DIMENSIONAL ISING-MODEL WITH 1/R2 INTERACTION ENERGY
FROHLICH, J
SPENCER, T
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 84 (01) : 87 - 101
[6] Keller G., 1998, London Math. Soc. Stud. Texts, V42, DOI DOI 10.1017/CBO9781107359987
[7] Le Ny A, 2008, ENSAIOS MATEMATICOS, V15
[8] Lind D., 1995, INTRO SYMBOLIC DYNAM
[9] Weak Gibbs measures and large deviations
Pfister, C-E
Sullivan, W. G.
[J]. NONLINEARITY, 2018, 31 (01) : 49 - 53
[10] Large deviations estimates for dynamical systems without the specification property.: Application to the β-shifts
Pfister, CE
Sullivan, WG
[J]. NONLINEARITY, 2005, 18 (01) : 237 - 261

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