Authors: Brian Marcus Ronnie Pavlov
Publish Date: 2015/03/28
Volume: 207, Issue: 1, Pages: 395-433
Abstract
Given an equilibrium state µ for a continuous function f on a shift of finite type X the pressure of f is the integral with respect to µ of the sum of f and the information function of µ We show that under certain assumptions on f X and an invariant measure ν the pressure of f can also be represented as the integral with respect to ν of the same integrand Under stronger hypotheses we show that this representation holds for all invariant measures ν We establish an algorithmic implication for approximation of pressure and we relate our results to a result in thermodynamic formalism
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