2 papers
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.DS2024
Bowen's formula for a rational graph-directed Markov system
Tadashi Arimitsu, Johannes Jaerisch, Hiroki Sumi +1
We establish Bowen's formula for the Julia set of a non-elementary, expanding, irreducible and aperiodic rational graph-directed Markov system satisfying the backward separating co…