Phase transitions in one-dimensional translation invariant systems: a Ruelle operator approach
L Cioletti, AO Lopes - Journal of Statistical Physics, 2015 - Springer
We consider a family of potentials ff, derived from the Hofbauer potentials, on the symbolic
space Ω={0, 1\}^ N Ω= 0, 1 N and the shift mapping σ σ acting on it. A Ruelle operator …
space Ω={0, 1\}^ N Ω= 0, 1 N and the shift mapping σ σ acting on it. A Ruelle operator …
Spectral properties of the Ruelle operator on the Walters class over compact spaces
L Cioletti, EA Silva - Nonlinearity, 2016 - iopscience.iop.org
Abstract Recently the Ruelle–Perron–Frobenius theorem was proved for Hölder potentials
defined on the symbolic space $\Omega={{M}^{\mathbb {N}}} $, where (the alphabet) M is …
defined on the symbolic space $\Omega={{M}^{\mathbb {N}}} $, where (the alphabet) M is …
On Bertelson-Gromov Dynamical Morse Entropy
AO Lopes, M Sebastiani - … , Optimization and Bioeconomics IV: DGS VI …, 2021 - Springer
In this mainly expository paper we present a detailed proof of several results contained in a
paper by M. Bertelson and M. Gromov on Dynamical Morse Entropy. This is an introduction …
paper by M. Bertelson and M. Gromov on Dynamical Morse Entropy. This is an introduction …
[PDF][PDF] Sao Paulo Journal of Mathematical Sciences-(USP-Sao Paulo) Vol. 2, 1 (2008), 285-307-version updated in 2015
We show a relation of the KMS state of a certain C∗-Algebra U with the Gibbs state of
Thermodynamic Formalism. More precisely, we consider here the shift T: X→ X acting on the …
Thermodynamic Formalism. More precisely, we consider here the shift T: X→ X acting on the …