Weighted equilibrium states at zero temperature

VERICAT, FERNANDO; MESON, ALEJANDRO M.

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES

Taylor & Francis

Lugar: New Delhi; Año: 2020 vol. 18 p. 241 - 259

1726-037X

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.