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math.DS2019
Exploding Markov operators
Bartosz Frej
A special class of doubly stochastic (Markov) operators is constructed. These operators come from measure preserving transformations and inherit some of their properties, namely er…
math.DS2019
A comment on ergodic theorem for amenable groups
Bartosz Frej, Dawid Huczek
We prove a version of ergodic theorem for an action of an amenable group, where a Fø lner sequence needs not to be tempered. Instead, it is assumed that a function satisfies certai…
math.DS2019
Extensions of Full Shifts with Group Actions
Bartosz Frej, Dawid Huczek
We give a sufficient condition for a symbolic topological dynamical system with action of a countable amenable group to be an extension of the full shift, a problem analogous to th…