Topology as a Language for Emergent Organization in Complex Systems: Multiscale Structure, Higher-Order Interactions, and Early Warning Signals
Fuente:
arXiv
Guardado en:
| Autor principal: | Bailey, Mark M. |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Ejemplares similares
A Unified View on the Functorial Nerve Theorem and its Variations
por: Bauer, Ulrich, et al.
Publicado: (2022)
por: Bauer, Ulrich, et al.
Publicado: (2022)
Morse theory for chromatic Delaunay triangulations
por: Natarajan, Abhinav, et al.
Publicado: (2024)
por: Natarajan, Abhinav, et al.
Publicado: (2024)
From Persistence to Resilience: New Betti Numbers for Analyzing Robustness in Simplicial Complex Networks
por: Hernández-García, Pablo, et al.
Publicado: (2025)
por: Hernández-García, Pablo, et al.
Publicado: (2025)
Ellipsoidal Filtration for Topological Denoising of Recurrent Signals
por: Eryilmaz, Omer Bahadir, et al.
Publicado: (2025)
por: Eryilmaz, Omer Bahadir, et al.
Publicado: (2025)
Clique complexes of multigraphs, edge inflations, and tournaplexes
por: Ayzenberg, Anton, et al.
Publicado: (2020)
por: Ayzenberg, Anton, et al.
Publicado: (2020)
Improving Topological Detection of Weather Regimes in climate dynamical systems
por: Anbouhi, Soheil
Publicado: (2026)
por: Anbouhi, Soheil
Publicado: (2026)
Simplicial Homology Groups
por: Mishra, Sanjay
Publicado: (2025)
por: Mishra, Sanjay
Publicado: (2025)
Fibrations of classifying spaces in the simplicial setting
por: Franz, Matthias
Publicado: (2024)
por: Franz, Matthias
Publicado: (2024)
Combinatorial Topological Models for Phylogenetic Networks and the Mergegram Invariant
por: Dłotko, Paweł, et al.
Publicado: (2023)
por: Dłotko, Paweł, et al.
Publicado: (2023)
Dowker's theorem for higher-order relations
por: de Silva, Vin, et al.
Publicado: (2025)
por: de Silva, Vin, et al.
Publicado: (2025)
Duality for Cohen--Macaulay Complexes through Combinatorial Sheaves
por: Wade, Richard D., et al.
Publicado: (2024)
por: Wade, Richard D., et al.
Publicado: (2024)
Weighted polyhedral products and Steenrod's problem
por: So, Tseleung, et al.
Publicado: (2023)
por: So, Tseleung, et al.
Publicado: (2023)
It's All About Covers: Persistent Homology of Cover Refinements
por: Leitão, António
Publicado: (2026)
por: Leitão, António
Publicado: (2026)
Szczarba's twisting cochain is comultiplicative
por: Franz, Matthias
Publicado: (2020)
por: Franz, Matthias
Publicado: (2020)
Maximum Persistent Betti Numbers of Čech Complexes
por: Edelsbrunner, Herbert, et al.
Publicado: (2024)
por: Edelsbrunner, Herbert, et al.
Publicado: (2024)
Explicit Acyclic Models and (Co)Chain Operations
por: Brumfiel, Greg, et al.
Publicado: (2023)
por: Brumfiel, Greg, et al.
Publicado: (2023)
On the support of Betti tables of multiparameter persistent homology modules
por: Guidolin, Andrea, et al.
Publicado: (2023)
por: Guidolin, Andrea, et al.
Publicado: (2023)
Topological Obstructions to Shared Priors
por: Biesel, Owen D., et al.
Publicado: (2025)
por: Biesel, Owen D., et al.
Publicado: (2025)
On twisting functions in twisted cartesian products and twisted tensor products
por: Cai, Li
Publicado: (2025)
por: Cai, Li
Publicado: (2025)
A modern perspective on rational homotopy theory
por: Chatzitheodoridis, Eleftherios
Publicado: (2025)
por: Chatzitheodoridis, Eleftherios
Publicado: (2025)
On rank filtrations of algebraic K-theory and Steinberg modules
por: Miller, Jeremy, et al.
Publicado: (2023)
por: Miller, Jeremy, et al.
Publicado: (2023)
Bounded Cohomology Classes of Exact Forms
por: Battista, Ludovico, et al.
Publicado: (2022)
por: Battista, Ludovico, et al.
Publicado: (2022)
The Topological Behavior of Preferential Attachment Graphs
por: Siu, Chunyin
Publicado: (2024)
por: Siu, Chunyin
Publicado: (2024)
Models for rational $(\infty, 1)$-categories
por: Chatzitheodoridis, Eleftherios
Publicado: (2025)
por: Chatzitheodoridis, Eleftherios
Publicado: (2025)
A Complete Invariant for Flow Equivalence
por: Clark, Alex, et al.
Publicado: (2024)
por: Clark, Alex, et al.
Publicado: (2024)
Connected power operations and simplicial Poincaré duality
por: Cantero-Morán, Federico, et al.
Publicado: (2024)
por: Cantero-Morán, Federico, et al.
Publicado: (2024)
Algebraic Wasserstein distances and stable homological invariants of data
por: Agerberg, Jens, et al.
Publicado: (2023)
por: Agerberg, Jens, et al.
Publicado: (2023)
Homotopy exponents of polyhedral products
por: Eldridge, Briony
Publicado: (2026)
por: Eldridge, Briony
Publicado: (2026)
On the rank of the double cohomology of moment-angle complexes
por: Zhang, Zhilei
Publicado: (2024)
por: Zhang, Zhilei
Publicado: (2024)
Cohomology Theories of Partial Groups
por: Pfammatter, Sandro
Publicado: (2025)
por: Pfammatter, Sandro
Publicado: (2025)
Homotopy Types of Small Semigroups
por: Sweeney, Dennis
Publicado: (2025)
por: Sweeney, Dennis
Publicado: (2025)
Topological Stability and Latschev-type Reconstruction Theorems for Spaces of Curvature Bounded Above
por: Komendarczyk, Rafal, et al.
Publicado: (2024)
por: Komendarczyk, Rafal, et al.
Publicado: (2024)
Cellular sheaf Laplacians on the set of simplices of symmetric simplicial set induced by hypergraph
por: Choi, Seongjin, et al.
Publicado: (2024)
por: Choi, Seongjin, et al.
Publicado: (2024)
The Simplicial Loop Space of a Simplicial Complex
por: Lupton, Gregory, et al.
Publicado: (2025)
por: Lupton, Gregory, et al.
Publicado: (2025)
Function-Rips complexes in persistent homotopy theory: Local stability and Latschev theorems
por: Oudot, Steve, et al.
Publicado: (2026)
por: Oudot, Steve, et al.
Publicado: (2026)
Exact multi-parameter persistent homology of time-series data: Fast and variable topological inferences
por: Kim, Keunsu, et al.
Publicado: (2022)
por: Kim, Keunsu, et al.
Publicado: (2022)
A stability theorem for bigraded persistence barcodes
por: Bahri, Anthony, et al.
Publicado: (2023)
por: Bahri, Anthony, et al.
Publicado: (2023)
On the (super)additivity of simplicial volume
por: Capovilla, Pietro
Publicado: (2023)
por: Capovilla, Pietro
Publicado: (2023)
Study of higher-order interactions in unweighted, undirected networks using persistent homology
por: Raj, Udit, et al.
Publicado: (2025)
por: Raj, Udit, et al.
Publicado: (2025)
Approximate and discrete Euclidean vector bundles
por: Scoccola, Luis, et al.
Publicado: (2021)
por: Scoccola, Luis, et al.
Publicado: (2021)
Ejemplares similares
-
A Unified View on the Functorial Nerve Theorem and its Variations
por: Bauer, Ulrich, et al.
Publicado: (2022) -
Morse theory for chromatic Delaunay triangulations
por: Natarajan, Abhinav, et al.
Publicado: (2024) -
From Persistence to Resilience: New Betti Numbers for Analyzing Robustness in Simplicial Complex Networks
por: Hernández-García, Pablo, et al.
Publicado: (2025) -
Ellipsoidal Filtration for Topological Denoising of Recurrent Signals
por: Eryilmaz, Omer Bahadir, et al.
Publicado: (2025) -
Clique complexes of multigraphs, edge inflations, and tournaplexes
por: Ayzenberg, Anton, et al.
Publicado: (2020)