3 papers
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.AT2020
Persistence of the Conley Index in Combinatorial Dynamical Systems
Tamal K. Dey, Marian Mrozek, Ryan Slechta
A combinatorial framework for dynamical systems provides an avenue for connecting classical dynamics with data-oriented, algorithmic methods. Combinatorial vector fields introduced…
cs.CG2018
Filtration Simplification for Persistent Homology via Edge Contraction
Tamal K. Dey, Ryan Slechta
Persistent homology is a popular data analysis technique that is used to capture the changing topology of a filtration associated with some simplicial complex . These topologica…