Regularity, Linear Response Formula and Differentiability of the Free Energy for Non-uniformly Expanding Local Homeomorphisms
Abstract We study equilibrium states for an open class of non-uniformly expanding local homeomorphisms defined by a mild condition requiring that for some iterate each point admits at least one contracting inverse branch. We prove the existence and uniqueness of equilibrium states and the differentiability of statistical quantities (such as the equilibrium states and the free energy function) with respect to the dynamical system.
Authors
- Sávio Santana
- Armando Castro
- Ricardo Bortolotti
- Carlos Bocker
Institutions
- Universidade Federal da Bahia (BR)
- Universidade Federal da Paraíba (BR)
- Instituto Federal de Educação, Ciência e Tecnologia Baiano (BR)
- Hospital Universitário Lauro Wanderley (BR)
- Hospital das Clínicas da Universidade Federal de Pernambuco (BR)
- Centro Universitário de João Pessoa (BR)
Publication Details
- Journal
- Journal of Statistical Physics
- Published
- 2026-03-07
- DOI
- https://doi.org/10.1007/s10955-026-03593-3
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação de Amparo à Pesquisa do Estado da Bahia