Zero Temperature Limits of Gibbs States for Almost-Additive Potentials |
| |
Authors: | Godofredo Iommi Yuki Yayama |
| |
Institution: | 1. Facultad de Matemáticas, Pontificia Universidad Católica de Chile (PUC), Avenida Vicu?a Mackenna 4860, Santiago, Chile 2. Departamento de Ciencias Básicas, Universidad del Bío-Bío, Avenida Andrés Bello s/n Casilla 447, Chillán, Chile
|
| |
Abstract: | This paper is devoted to study ergodic optimisation problems for almost-additive sequences of functions (rather than a fixed potential) defined over countable Markov shifts (that is a non-compact space). Under certain assumptions we prove that any accumulation point of a family of Gibbs equilibrium states is a maximising measure. Applications are given in the study of the joint spectral radius and to multifractal analysis of Lyapunov exponent of non-conformal maps. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|