Ergodicity of Skew-Products over Markov Chains

17.05.2023, 13:00  –  Haus 9, Raum 0.17 und Zoom
Berlin-Brandenburgisches Seminar Mathematik und ihre Didaktik

Pablo Lummerzheim (Leipzig)

Title: Ergodicity of Skew-Products over  Markov Chains

Abstract: We extend a criterion of Alexander I. Bufetov for the ergodicity of skew-product extensions of Markov shifts with finite state space to Markov shifts with general state space. We also show that the criterion is in fact a characterization. We then use the criterion to get two random ergodic theorems. This talk is based on a joint work with Felix Pogorzelski and Elias Zimmermann.