Simplicial Homology of Random Configurations
From MaRDI portal
Publication:5169497
DOI10.1239/aap/1401369697zbMath1296.60127arXiv1103.4457OpenAlexW2962676924MaRDI QIDQ5169497
E. Ferraz, Anaïs Vergne, Laurent Decreusefond, Hugues Randriambololona
Publication date: 10 July 2014
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.4457
Stochastic calculus of variations and the Malliavin calculus (60H07) Simplicial sets and complexes in algebraic topology (55U10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (22)
Concentration for Poisson functionals: component counts in random geometric graphs ⋮ Concentration for Poisson \(U\)-statistics: subgraph counts in random geometric graphs ⋮ Topology of random geometric complexes: a survey ⋮ Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes ⋮ U-Statistics in Stochastic Geometry ⋮ Introduction to Stochastic Geometry ⋮ Mean geometry for 2D random fields: level perimeter and level total curvature integrals ⋮ Dynamical geometry and a persistence \(K\)-theory in noisy point clouds ⋮ Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally ⋮ Central limit theorems for \(U\)-statistics of Poisson point processes ⋮ Universal Gaussian fluctuations on the discrete Poisson chaos ⋮ Multivariate central limit theorems for random simplicial complexes ⋮ Limit theorems for process-level Betti numbers for sparse and critical regimes ⋮ On approximation theorems for the Euler characteristic with applications to the bootstrap ⋮ Normal approximation for stabilizing functionals ⋮ Random geometric complexes in the thermodynamic regime ⋮ Moments and Central Limit Theorems for Some Multivariate Poisson Functionals ⋮ The scaling limit of Poisson-driven order statistics with applications in geometric probability ⋮ On the law of the iterated logarithm and strong invariance principles in stochastic geometry ⋮ Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization ⋮ Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions ⋮ Functional limit theorems for the euler characteristic process in the critical regime
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit theorems for Betti numbers of random simplicial complexes
- Limit theory for point processes in manifolds
- Random geometric complexes
- On the one dimensional Poisson random geometric graph
- Stability of persistence diagrams
- Stein's method and normal approximation of Poisson functionals
- A class of \(U\)-statistics and asymptotic normality of the number of \(k\)- clusters
- An introduction to the theory of point processes
- Generalized Poisson functionals
- Exponential polynomials
- Topological persistence and simplification
- Central limit theorems for \(U\)-statistics of Poisson point processes
- Upper bounds on Rubinstein distances on configuration spaces and applications
- Normal Approximations with Malliavin Calculus
- Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology
- Random Geometric Graphs
This page was built for publication: Simplicial Homology of Random Configurations