4 papers
Sparse metric spaces and sparse ends
William Geller, Michal Misiurewicz
We study metric spaces that in some sense thin out at infinity. We define and investigate a measure of sparsity that is a quasi-isometry invariant, and introduce an analogue of top…
Coarse entropy of metric spaces
William Geller, Michał Misiurewicz, Damian Sawicki
Coarse geometry studies metric spaces on the large scale. The recently introduced notion of coarse entropy is a tool to study dynamics from the coarse point of view. We prove that…
Coarse entropy
William Geller, Michał Misiurewicz
Coarse geometry studies metric spaces on the large scale. Our goal here is to study dynamics from a coarse point of view. To this end we introduce a coarse version of topological e…
The Symbolic Dynamics of Tiling the Integers
Ethan M. Coven, William Geller, Sylvia Silberger +1
A finite collection of finite sets tiles the integers iff the integers can be expressed as a disjoint union of translates of members of . We associate with such a tiling a d…