Regularity, linear response formula and differentiability of the free energy for non-uniformly expanding local homeomorphisms
C Bocker, R Bortolotti, A Castro, S Santana - arXiv preprint arXiv …, 2024 - arxiv.org
We study equilibrium states for an open class of non-uniformly expanding local
homeomorphisms defined by a mild condition such that for some iterate each point admits at …
homeomorphisms defined by a mild condition such that for some iterate each point admits at …
Thermodynamic Formalism for Discontinuous Maps and Statistical Properties for their Equilibrium States
R Bilbao, R Lucena - arXiv preprint arXiv:2311.05577, 2023 - arxiv.org
In this article, we develop a novel functional analytic approach and demonstrate its
effectiveness in establishing the existence, uniqueness, regularity of disintegration, and …
effectiveness in establishing the existence, uniqueness, regularity of disintegration, and …