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math.DS2023
Topological Rigidity of the Dynamic Asymptotic Dimension
Samantha Pilgrim
We show for a free action of a countable group on a finite-dimensional, compact metric space by homeomorphisms that the dynamic asymptotic dimension is either infinite or coinc…
math.DS2021
Isometric Actions and Finite Approximations
Samantha Pilgrim
We show that every isometric action on a Cantor set is conjugate to an inverse limit of actions on finite sets; and that every isometric action by a finitely generated amenable gro…
math.DS2020
Dynamic Asymptotic Dimension of Translation Actions on Compact Lie Groups
Samantha Pilgrim
We develop a method to bound the dynamic asymptotic dimension of isometric group actions in terms of the asymptotic dimension of a space of graphs similar to…