30 citations · 32 across the 4 of their papers we have counts for
8 papers
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…
Empirical approach to the x2, x3 conjecture
Tomasz Downarowicz, Dawid Huczek
We study atomic measures on which are invariant both under multiplication by and by , since such measures play an important role in deciding Furstenberg'…
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…
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…
Doubly stochastic operators with zero entropy
Bartosz Frej, Dawid Huczek
We study doubly stochastic operators with zero entropy. We generalize three famous theorems: the Rokhlin's theorem on genericity of zero entropy, the Kushnirenko's theorem on equiv…
Dynamical quasitilings of amenable group
Tomasz Downarowicz, Dawid Huczek
We prove that for any compact zero-dimensional metric space on which an infinite countable amenable group acts freely by homeomorphisms, there exists a dynamical quasitilin…