info:eu-repo/semantics/article
Weighted equilibrium states at zero temperature
Fecha
2021-01-07Registro en:
Meson, Alejandro Mario; Vericat, Fernando; Weighted equilibrium states at zero temperature; Taylor & Francis; Journal of Dynamical Systems and Geometric Theories; 18; 2; 07-1-2021; 241-259
1726-037X
2169-0057
CONICET Digital
CONICET
Autor
Meson, Alejandro Mario
Vericat, Fernando
Resumen
Weighted thermodynamic and multifractal formalism for finite alphabet subshifts have been presented by Barral and Feng (Asian J. Math, 16, 319–352, 2012). Here we analyze the problem of finding weighted equilibrium states for infinite countable shifts. Also we study the problem of ”zero temperature” which consists into consider a sequence of equilibrium states depending of a parameter, interpreted in a Statistical Mechanics context as ”the inverse of the temperature”, and prove the existence of accumulation points of such a sequence.