78 citations · 176 across the 18 of their papers we have counts for
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math.DS2017★ 12 cited
Linking combinatorial and classical dynamics: Conley index and Morse decompositions
Bogdan Batko, Tomasz Kaczynski, Marian Mrozek +1
We prove that every combinatorial dynamical system in the sense of Forman, defined on a family of simplices of a simplicial complex, gives rise to a multivalued dynamical system F…
math.AT2017★ 4 cited
Čech-Delaunay gradient flow and homology inference for self-maps
Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski +1
We call a continuous self-map that reveals itself through a discrete set of point-value pairs a sampled dynamical system. Capturing the available information with chain maps on Del…