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math.DS2019
Hotspot lemmas for non-compact spaces
Dylan Airey, Bill Mance
We extend the hotspot lemma, or Piatetskiĭ-Shapiro normality criterion, to dynamical systems on non-compact spaces. We build on the work of N. G. Moshchevitin and I. D. Shkredov, n…
math.DS2019
A topological dynamical system with two different positive sofic entropies
Dylan Airey, Lewis Bowen, Frank Lin
A sofic approximation to a countable group is a sequence of partial actions on finite sets that asymptotically approximates the action of the group on itself by left-translations.…