Weighted Equilibrium States at Zero Temperature. Issue 2 (2nd July 2020)

• Record Type: Journal Article
• Authors: Mesón, Alejandro; Vericat, Fernando
• Is Part Of: Journal of dynamical systems and geometric theories. Volume 18:Issue 2(2020)
• Page Start: 241
• Page End: 259
• Publication Date: 2020-07-02
• Subjects: 37D35 -- 37B10 -- 37A35; Weighted thermodynamics -- weighted multifractal formalism -- zero temperature states -- countab -- Countable shifts; Differentiable dynamical systems -- Periodicals; Geometry -- Periodicals; Differentiable dynamical systems; Geometry; Periodicals; 515.39
• DOI: 10.1080/1726037X.2020.1856340
• Languages: English
• ISSNs: 1726-037X

Abstract

Abstract: 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.