78 citations · 176 across the 18 of their papers we have counts for
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math.DS2021★ 11 cited
Combinatorial vs. classical dynamics: Recurrence
Marian Mrozek, Roman Srzednicki, Justin Thorpe +1
Establishing the existence of periodic orbits is one of the crucial and most intricate topics in the study of dynamical systems, and over the years, many methods have been develope…
math.DS2021
Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems
Tamal K. Dey, Marian Mrozek, Ryan Slechta
Multivector fields provide an avenue for studying continuous dynamical systems in a combinatorial framework. There are currently two approaches in the literature which use persiste…
math.DS2021★ 1 cited
Connection matrices in combinatorial topological dynamics
Marian Mrozek, Thomas Wanner
Connection matrices are one of the central tools in Conley's approach to the study of dynamical systems, as they provide information on the existence of connecting orbits in Morse…