3 papers
math.DS2026
Strict irreducibility of Markov chains and ergodicity of skew products
Pablo Lummerzheim, Felix Pogorzelski, Elias Zimmermann
We consider a family of measure preserving transformations, which act on a common probability space and are chosen at random by a stationary ergodic Markov chain. This setting defi…
math.PR2025
Exponential phi-mixing implies exponential psi-mixing for Markov fields on bounded degree graphs
Elias Zimmermann
We show that for non-degenerate -Markovian random fields with finite state space over a bounded degree graph with exponential growth rate uniform -mixing with exponenti…
math.DS2025
Mixing and equipartition for automorphism invariant processes on regular trees
Felix Pogorzelski, Elias Zimmermann
The paper is devoted to equipartition of measured information for finite state processes over regular trees whose laws are invariant under all parity preserving tree automorphisms.…