Homotopy types of random cubical complexes
From MaRDI portal
Publication:2125402
DOI10.1007/s41468-021-00082-2zbMath1490.60267arXiv1910.12803OpenAlexW3212728782MaRDI QIDQ2125402
K. Alex Dowling, Erik Lundberg
Publication date: 14 April 2022
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.12803
Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Simplicial sets and complexes in algebraic topology (55U10)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Intrinsic volumes of random cubical complexes
- Random geometric complexes in the thermodynamic regime
- Random geometric complexes
- Topology of random clique complexes
- Computational homology
- Topology of random geometric complexes: a survey
- Limit theorems for persistence diagrams
- Maximally persistent cycles in random geometric complexes
- Limit theorems for random cubical homology
- Random geometric complexes and graphs on Riemannian manifolds in the thermodynamic limit
- The topology of probability distributions on manifolds
- Finding the homology of submanifolds with high confidence from random samples
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Effective Spacetime
- Probability on Trees and Networks
- Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
- Topologies of Nodal Sets of Random Band‐Limited Functions
- Topology of random simplicial complexes: a survey
- Continuum Percolation
- Percolation
- Random Geometric Graphs
- Topologies of Random Geometric Complexes on Riemannian Manifolds in the Thermodynamic Limit
- Tutte polynomials and random-cluster models in Bernoulli cell complexes
- Random wavefunctions and percolation
- Probabilistic and numerical validation of homology computations for nodal domains
