Conley-Morse persistence barcode: a homological signature of combinatorial bifurcations
Fuente:
arXiv
Saved in:
| Main Authors: | Dey, Tamal K., Lipiński, Michał, Soriano-Trigueros, Manuel |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
by: Torras-Casas, Álvaro, et al.
Published: (2025)
by: Torras-Casas, Álvaro, et al.
Published: (2025)
The Depth Poset under Transpositions in the Filter
by: Edelsbrunner, Herbert, et al.
Published: (2025)
by: Edelsbrunner, Herbert, et al.
Published: (2025)
Exact multi-parameter persistent homology of time-series data: Fast and variable topological inferences
by: Kim, Keunsu, et al.
Published: (2022)
by: Kim, Keunsu, et al.
Published: (2022)
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
by: Lipiński, Michał, et al.
Published: (2019)
by: Lipiński, Michał, et al.
Published: (2019)
Discrete Microlocal Morse Theory
by: Brown, Adam, et al.
Published: (2022)
by: Brown, Adam, et al.
Published: (2022)
Topological simplification guided by forbidden regions
by: Leśkiewicz, Jakub, et al.
Published: (2026)
by: Leśkiewicz, Jakub, et al.
Published: (2026)
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition
by: Dey, Tamal K., et al.
Published: (2025)
by: Dey, Tamal K., et al.
Published: (2025)
Connected power operations and simplicial Poincaré duality
by: Cantero-Morán, Federico, et al.
Published: (2024)
by: Cantero-Morán, Federico, et al.
Published: (2024)
Identifying cobordisms using kernel persistence
by: Bleile, Yossi Bokor, et al.
Published: (2025)
by: Bleile, Yossi Bokor, et al.
Published: (2025)
Notes on abelianity of categories of finitely encoded persistence modules
by: Waas, Lukas
Published: (2024)
by: Waas, Lukas
Published: (2024)
Topological and metric properties of spaces of generalized persistence diagrams
by: Bubenik, Peter, et al.
Published: (2022)
by: Bubenik, Peter, et al.
Published: (2022)
Stabilization of codimension of persistence barcodes
by: Allman, Justin, et al.
Published: (2023)
by: Allman, Justin, et al.
Published: (2023)
Persistent Local Systems of Periodic Spaces
by: Onus, Adam, et al.
Published: (2025)
by: Onus, Adam, et al.
Published: (2025)
Tagged barcodes for the topological analysis of gradient-like vector fields
by: Bannwart, Clemens, et al.
Published: (2024)
by: Bannwart, Clemens, et al.
Published: (2024)
Graded differential groups, Cartan-Eilenberg systems and conjectures in Conley index theory
by: Spendlove, Kelly, et al.
Published: (2024)
by: Spendlove, Kelly, et al.
Published: (2024)
Morse-Bott-Smale chain complex
by: Orita, Ryuma, et al.
Published: (2025)
by: Orita, Ryuma, et al.
Published: (2025)
Ephemeral persistence features and the stability of filtered chain complexes
by: Mémoli, Facundo, et al.
Published: (2022)
by: Mémoli, Facundo, et al.
Published: (2022)
Graph Multivector Persistence: A Unified Framework for Dynamic Systems
by: Woukeng, Donald
Published: (2026)
by: Woukeng, Donald
Published: (2026)
Twisted Morse complexes
by: Banyaga, Augustin, et al.
Published: (2019)
by: Banyaga, Augustin, et al.
Published: (2019)
Filtration learning in exact multi-parameter persistent homology and classification of time-series data
by: Kim, Keunsu, et al.
Published: (2024)
by: Kim, Keunsu, et al.
Published: (2024)
The poset of cancellations induced by gradient dynamics in a filtered Lefschetz complex
by: Edelsbrunner, Herbert, et al.
Published: (2023)
by: Edelsbrunner, Herbert, et al.
Published: (2023)
Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
by: Timofeyev, Tobias, et al.
Published: (2026)
by: Timofeyev, Tobias, et al.
Published: (2026)
Estimation of Persistence Diagrams via the Three Gap Theorem
by: Salas, Luis Suarez, et al.
Published: (2026)
by: Salas, Luis Suarez, et al.
Published: (2026)
Stabilizing decomposition of multiparameter persistence modules
by: Bjerkevik, Håvard Bakke
Published: (2023)
by: Bjerkevik, Håvard Bakke
Published: (2023)
Critical edges in Rips complexes and persistence
by: Goričan, Peter, et al.
Published: (2023)
by: Goričan, Peter, et al.
Published: (2023)
Stability of 0-dimensional persistent homology in enriched and sparsified point clouds
by: Lazovskis, Jānis, et al.
Published: (2025)
by: Lazovskis, Jānis, et al.
Published: (2025)
Additive Partial Matchings Induced by Persistence Maps
by: Gonzalez-Diaz, R., et al.
Published: (2020)
by: Gonzalez-Diaz, R., et al.
Published: (2020)
Persistent magnitude homology on finite metric space
by: Bi, Wanying, et al.
Published: (2026)
by: Bi, Wanying, et al.
Published: (2026)
Cell decompositions of persistent minimal models
by: Hess, Kathryn, et al.
Published: (2023)
by: Hess, Kathryn, et al.
Published: (2023)
Persistence and Topological Complexity
by: Mémoli, Facundo, et al.
Published: (2025)
by: Mémoli, Facundo, et al.
Published: (2025)
Improving Topological Detection of Weather Regimes in climate dynamical systems
by: Anbouhi, Soheil
Published: (2026)
by: Anbouhi, Soheil
Published: (2026)
Harder-Narasimhan Filtrations of Persistence Modules
by: Fersztand, Marc, et al.
Published: (2023)
by: Fersztand, Marc, et al.
Published: (2023)
Grothendieck Topologies and Sheaf Theory for Data and Graphs: An Approach Through Cech Closure Spaces
by: Rieser, Antonio
Published: (2021)
by: Rieser, Antonio
Published: (2021)
Complexity and speed of semi-algebraic multi-persistence
by: Banerjee, Arindam, et al.
Published: (2024)
by: Banerjee, Arindam, et al.
Published: (2024)
An extension of fractal Euler number via persistent homology
by: Nishijima, Kosuke
Published: (2026)
by: Nishijima, Kosuke
Published: (2026)
Persistent Cost of Lipschitz Maps
by: Gozzi, Francisco J., et al.
Published: (2025)
by: Gozzi, Francisco J., et al.
Published: (2025)
Through the Grapevine: Vineyard Distance as a Measure of Topological Dissimilarity
by: Arulandu, Alvan, et al.
Published: (2025)
by: Arulandu, Alvan, et al.
Published: (2025)
Topological optimization with birth and death cochains
by: Weighill, Thomas, et al.
Published: (2026)
by: Weighill, Thomas, et al.
Published: (2026)
Algebraic and Topological Persistence
by: Melodia, Luciano
Published: (2024)
by: Melodia, Luciano
Published: (2024)
Notes on Pointwise Finite-Dimensional $2$-Parameter Persistence Modules
by: Li, Wenwen, et al.
Published: (2024)
by: Li, Wenwen, et al.
Published: (2024)
Similar Items
-
Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
by: Torras-Casas, Álvaro, et al.
Published: (2025) -
The Depth Poset under Transpositions in the Filter
by: Edelsbrunner, Herbert, et al.
Published: (2025) -
Exact multi-parameter persistent homology of time-series data: Fast and variable topological inferences
by: Kim, Keunsu, et al.
Published: (2022) -
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
by: Lipiński, Michał, et al.
Published: (2019) -
Discrete Microlocal Morse Theory
by: Brown, Adam, et al.
Published: (2022)