Equilibrium states for non-uniformly expanding maps
By Krerley Oliveira. Ergodic Theory and Dynamical Systems, 2003
47 citations recorded by the source corpus.
We construct equilibrium states, including measures of maximal entropy, for a large (open) class of non-uniformly expanding maps on compact manifolds. Moreover, we study uniqueness of these equilibrium states, as well as some of their ergodic properties.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d26fa11b00faf03351651c451444ab65cf20abb8
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In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Expanding Measures (2008, background): “Recently there was an increasing development of the study of the thermodynamic formalism beyond the uniformly hyperbolic context (including countable Markov shift) by several authors (this list is certainly not complete): Araujo [7], Arbieto, Matheus, Oliveira, Varandas, Viana [8,38,39,57,58], Bruin”