16 citations · 43 across the 19 of their papers we have counts for
23 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…
The zero entropy locus for the Lozi maps
M. Misiurewicz, S. Štimac
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…
Topological Entropy Of Generalized Bunimovich Stadium Billiards
Michal Misiurewicz, Hong-Kun Zhang
We estimate from below the topological entropy of the generalized Bunimovich stadium billiards. We do it for long billiard tables, and find the limit of estimates as the length goe…
Unpredictable dynamics in congestion games: memory loss can prevent chaos
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We study the dynamics of simple congestion games with two resources where a continuum of agents behaves according to a version of Experience-Weighted Attraction (EWA) algorithm. Th…
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…
Follow-the-Regularized-Leader Routes to Chaos in Routing Games
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +3
We study the emergence of chaotic behavior of Follow-the-Regularized Leader (FoReL) dynamics in games. We focus on the effects of increasing the population size or the scale of cos…