30 citations · 129 across the 17 of their papers we have counts for
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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 , where 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…