Thermodynamic formalism for general iterated function systems with measures

JE Brasil, ER Oliveira, RR Souza - Qualitative theory of dynamical systems, 2023 - Springer
This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems
with Measures (IFSm). We study the spectral properties of the Transfer and Markov …

Grand-canonical Thermodynamic Formalism via IFS: volume, temperature, gas pressure and grand-canonical topological pressure

AO Lopes, ER Oliveira, WS Pedra, V Vargas - arXiv preprint arXiv …, 2023 - arxiv.org
We consider here a dynamic model for a gas in which a variable number of particles $
N\in\mathbb {N} _0:=\mathbb {N}\cup\{0\} $ can be located at a site. This point of view leads …

Continuous groupoids on the symbolic space, quasi-invariant probabilities for Haar systems and the Haar–Ruelle operator

AO Lopes, ER Oliveira - Bulletin of the Brazilian Mathematical Society …, 2019 - Springer
Abstract We consider groupoids on {1, 2, ..., d\}^ N 1, 2,…, d N, cocycles and the counting
measure as transverse function. We generalize results relating quasi-invariant probabilities …