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Towards a formal tie between combinatorial and classical vector field dynamics
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/aima.1997.1650openalex-snapshot
Morse Theory for Cell Complexes
inferredcites →https://doi.org/10.1007/pl00004638openalex-snapshot
Combinatorial vector fields and dynamical systems
inferredcites →https://doi.org/10.1007/s00454-008-9073-yopenalex-snapshot
Coreduction Homology Algorithm
inferredcites →https://doi.org/10.1016/0166-8641(94)00088-kopenalex-snapshot
Conley index for discrete multi-valued dynamical systems
inferredcites →https://doi.org/10.1080/10586458.2005.10128941openalex-snapshot
Generating Discrete Morse Functions from Point Data
inferredcites →https://doi.org/10.1090/cbms/038openalex-snapshot
Isolated Invariant Sets and the Morse Index
inferredcites →https://doi.org/10.1090/s0002-9947-1971-0279830-1openalex-snapshot
Isolated Invariant Sets and Isolating Blocks
inferredcites →https://doi.org/10.1090/s0002-9947-99-02527-1openalex-snapshot
An algorithmic approach to the construction of homomorphisms induced by maps in homology
inferredcites →https://doi.org/10.1109/tpami.2011.95openalex-snapshot
Theory and Algorithms for Constructing Discrete Morse Complexes from Grayscale Digital Images
inferredcites →https://doi.org/10.1137/140971075openalex-snapshot
Rigorous Validation of Isolating Blocks for Flows and Their Conley Indices
inferredcites →https://doi.org/10.1137/15m1046691openalex-snapshot
Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-031-87600-4openalex-snapshot
Connection Matrices in Combinatorial Topological Dynamics
inferred← citeshttps://doi.org/10.1007/s10208-016-9330-zopenalex-snapshot
Conley–Morse–Forman Theory for Combinatorial Multivector Fields on Lefschetz Complexes
inferred← citeshttps://doi.org/10.1007/s10208-020-09444-1openalex-snapshot
Linking Combinatorial and Classical Dynamics: Conley Index and Morse Decompositions
inferred← citeshttps://doi.org/10.1007/s10208-024-09685-4openalex-snapshot
Conley Index for Multivalued Maps on Finite Topological Spaces
inferred← citeshttps://doi.org/10.1007/s10884-021-10056-8openalex-snapshot
Lattice Structures for Attractors III
inferred← citeshttps://doi.org/10.1007/s12346-024-01144-3openalex-snapshot
Morse Predecomposition of an Invariant Set
inferred← citeshttps://doi.org/10.1007/s41468-022-00102-9openalex-snapshot
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
inferred← citeshttps://doi.org/10.1007/s41468-024-00176-7openalex-snapshot
Multiparameter discrete Morse theory
inferred← citeshttps://doi.org/10.1007/s41468-024-00181-wopenalex-snapshot
From finite vector field data to combinatorial dynamical systems in the sense of Forman
inferred← citeshttps://doi.org/10.1016/j.cnsns.2021.106226openalex-snapshot
Combinatorial vs. classical dynamics: Recurrence
inferred← citeshttps://doi.org/10.1016/j.jde.2021.10.001openalex-snapshot
Creating semiflows on simplicial complexes from combinatorial vector fields
inferred← citeshttps://doi.org/10.1137/21m143162xopenalex-snapshot
Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems
inferred← citeshttps://doi.org/10.20517/ces.2025.59openalex-snapshot
A probabilistic approach to drift estimation from stochastic data
inferred← citeshttps://doi.org/10.21105/joss.08085openalex-snapshot
ConleyDynamics.jl: A Julia package for multivector dynamics on Lefschetz complexes
inferred← citeshttps://doi.org/10.48550/arxiv.1506.00018openalex-snapshot
Conley-Morse-Forman theory for combinatorial multivector fields
inferred← citeshttps://doi.org/10.48550/arxiv.1903.05934openalex-snapshot
Lefschetz Complexes as Finite Topological Spaces
inferred← citeshttps://doi.org/10.48550/arxiv.2107.06202openalex-snapshot
Morse theory for loop-free categories
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