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].
Recommended Citation
Anna Mummert. The thermodynamic formalism for almost-additive sequences. Discrete & Continuous Dynamical Systems - A, 2006, 16 (2) : 435-454. doi: 10.3934/dcds.2006.16.435
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.