30 citations · 45 across the 10 of their papers we have counts for
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math.DS2019
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'…
math.DS2019★ 1 cited
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…