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math.DS2024
Amenable graphs and the spectral radius of extensions of Markov maps
Johannes Jaerisch, Elaine Rocha, Manuel Stadlbauer
We discuss relations between the amenability of a graph and spectral properties of a random walk driven by a dynamical system. In order to include graphs which are not locally comp…
math.DS2022
Minimal distance between random orbits
Sébastien Gouëzel, Jérôme Rousseau, Manuel Stadlbauer
We study the minimal distance between two orbit segments of length n, in a random dynamical system with sufficiently good mixing properties. This problem has already been solved in…
math.DS2018
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…