L. Cioletti

activity

20042020

most citedOn the general one-dimensional XY Model: positive and zero temperature, selection and non-selection

40 citations · 133 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.DS2018★ 10 cited

Thermodynamic Formalism for Topological Markov Chains on Borel Standard Spaces

L. Cioletti, E. A. Silva, M. Stadlbauer

We develop a Thermodynamic Formalism for bounded continuous potentials defined on the sequence space $X \equiv E^{N}$ , where $E$ is a general Borel standard space. In parti…

math.DS2018

Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples

Leandro Cioletti, L. Y. Hataishi, Artur O. Lopes +1

In this paper we study spectral triples and non-commutative expectations associated to expanding and weakly expanding maps. In order to do so, we generalize the Perron-Frobenius-Ru…