2 papers
math.DS2024
Residuality of Dynamical Morphisms for Amenable Group Actions
Dawid Huczek, Sebastian Kopacz, Jacek Serafin
We extend the classical Baire category approach, used in proving the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein,…
math.DS2021
Factoring strongly irreducible group shift actions onto full shifts of lower entropy
Dawid Huczek, Sebastian Kopacz
We show that if is a a countable amenable group with the comparison property, and is a strongly irreducible -shift satisfying certain aperiodicity conditions, then f…