08.10.2024, 10:15 - 11:45
– 3.06.H02
Kálmán Lecture
Particle Methods in Machine Learning and Inverse Problems
Martin Burger, Helmholtz Imaging
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.