3 papers
math.MG2026
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…
math.DS2025
The zero entropy locus for the Lozi maps
M. Misiurewicz, S. Å timac
We study the zero entropy locus for the Lozi maps. We first define a region in the parameter space and prove that for the parameters in , the Lozi maps have the topological…
math.MG2024
Coarse entropy of metric spaces
William Geller, MichaÅ 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…