Zero Temperature Limits for Quotients of Potentials in Countable Markov Shifts

被引：0
作者：
Nicolás Pinto
机构：
[1] Pontificia Universidad Católica de Chile (UC),Facultad de Matemáticas
来源：
Journal of Statistical Physics | / 190卷
关键词：
Zero temperature limits; Countable Markov Shifts; Ergodic optimization; Quotients of potentials; Thermodynamic formalism; 37D35; 37A10; 37A35;
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暂无
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摘要：
In this article we study ergodic optimization for quotients of functions, generalizing the classical setting in which only one function is considered. We study (non-compact) countable Markov shifts and construct a framework which allow us to prove that a sequence of equilibrium measures has an accumulation point which maximizes the integral of the quotients among the (non-compact) space of invariant measures. We provide applications of this theory to study classic ergodic optimization problems for suspension flows defined on countable Markov shifts.
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