Document Type

Article

Publication Date

6-2006

Abstract

We study the nonadditive thermodynamic formalism for the class of almost-additive sequences of potentials. We define the topological pressure PZ(Φ) of an almost-additive sequence Φ, on a set Z. We give conditions which allow us to establish a variational principle for the topological pressure. We state conditions for the existence and uniqueness of equilibrium measures, and for subshifts of finite type the existence and uniqueness of Gibbs measures. Finally, we compare the results for almost-additive sequences to the thermodynamic formalism for the classical (additive) case [10] [11] [3], the sequences studied by Barreira [1], Falconer [5], and that of Feng and Lau [7], [6].

Comments

This is the author's manuscript. The version of record is available from the publisher at http://dx.doi.org/10.3934/dcds.2006.16.435. All rights reserved.
Copyright © 2006 American Institute of Mathematical Sciences.

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