Article ISI SCOPUS
Ergodic Theory and Dynamical Systems  (2023)

Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts

Beltrán; E.; Curinao; J.; Maldonado; C.; Vargas; V.

Keywords: countable Markov shift; equilibrium state; maximizing measure; renewal shift; stationary Markov measure; topologically transitive

Abstract

Consider a topologically transitive countable Markov shift ? and a summable locally constant potential ? with finite Gurevich pressure and Var1(?) < ?. We prove the existence of the limit limt? ? ?t in the weak? topology, where ?t is the unique equilibrium state associated to the potential t?. In addition, we present examples where the limit at zero temperature exists for potentials satisfying more general conditions. © The Author(s), 2022. Published by Cambridge University Press.

Más información

Título según WOS: Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts
Título según SCOPUS: Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts
Título de la Revista: Ergodic Theory and Dynamical Systems
Volumen: 43
Número: 10
Editorial: Cambridge University Press
Fecha de publicación: 2023
Página de inicio: 3231
Página final: 3254
Idioma: English
DOI:

10.1017/etds.2022.65
Notas: ISI, SCOPUS