43 citations · 228 across the 30 of their papers we have counts for
4 papers · 2 filters
A Markovian and Roe-algebraic approach to asymptotic expansion in measure
Kang Li, Federico Vigolo, Jiawen Zhang
In this paper, we conduct further studies on geometric and analytic properties of asymptotic expansion in measure. More precisely, we develop a machinery of Markov expansion and ob…
Dynamic asymptotic dimension for actions of virtually cyclic groups
Massoud Amini, Kang Li, Damian Sawicki +1
We show that the dynamic asymptotic dimension of a minimal free action of an infinite virtually cyclic group on a compact Hausdorff space is always one. This extends a well-known r…
Asymptotic expansion in measure and strong ergodicity
Kang Li, Federico Vigolo, Jiawen Zhang
In this paper, we introduce and study a notion of asymptotic expansion in measure for measurable actions. This generalises expansion in measure and provides a new perspective on th…
The type semigroup, comparison and almost finiteness for ample groupoids
Pere Ara, Christian Bönicke, Joan Bosa +1
We prove that a minimal second countable ample groupoid has dynamical comparison if and only if its type semigroup is almost unperforated. Moreover, we investigate to what extent a…