Zero Temperature Limits of Gibbs Equilibrium States for Countable Markov Shifts

被引：17
|
作者：
Kempton, Tom [1 ]
机构：
[1] Univ Warwick, Dept Math, Coventry CV4 7AL, W Midlands, England
来源：
JOURNAL OF STATISTICAL PHYSICS | 2011年 / 143卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
Gibbs state; Equilibrium state; Maximizing measure; Countable alphabet Markov shift; ALPHABET SUBSHIFTS; FINITE-TYPE; ERGODIC OPTIMIZATION;
D O I：
10.1007/s10955-011-0195-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that, given a uniformly locally constant potential f on a countable state Markov shift and suitable conditions which guarantee the existence of the equilibrium states mu(tf) for all t, the measures mu(tf) converge in the weak star topology as t tends to infinity.
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页码：795 / 806
页数：12
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