Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems
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Publication:5072972
DOI10.1137/21M143162XzbMath1498.37069arXiv2107.02115OpenAlexW3177616761MaRDI QIDQ5072972
Marian Mrozek, Ryan Slechta, Tamal Krishna Dey
Publication date: 5 May 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.02115
Conley indexMorse decompositionpersistent homologycombinatorial dynamical systemmultivector fieldConley-Morse graph
Persistent homology and applications, topological data analysis (55N31) Index theory for dynamical systems, Morse-Conley indices (37B30) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25)
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Computing Connection Matrices via Persistence-Like Reductions, Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
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