On central limit theorems in stochastic geometry

2018/04/09 by Khanh Duy Trinh, Trinh, Khanh Duy · 1 citation
Computer Science · Mathematics · #60D05 #60F05 #FOS: Mathematics #Geometry and complex manifolds #Point processes and geometric inequalities #Probability (math.PR) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1804.02823

openalex publication_date 2018/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish central limit theorems for general functionals on binomial point processes and their Poissonized version. As an application, a central limit theorem for Betti numbers of random geometric complexes in the thermodynamic regime is derived.

Cited by

• Beta Laguerre ensembles in global regime

Related

• Random geometric complexes in the thermodynamic regime
• Multivariate Central Limit Theorems for Random Simplicial Complexes
• Almost Sure Central Limit Theorems in Stochastic Geometry
• Functional Central Limit Theorems for Local Statistics of Spatial Birth-Death Processes in the Thermodynamic Regime
• Local central limit theorems in stochastic geometry