On central limit theorems in stochastic geometry

Khanh Duy Trinh

On central limit theorems in stochastic geometry

Research output: Contribution to journal › Article › peer-review

Abstract

60F05, 60D05

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.

Original language	English
Journal	Unknown Journal
Publication status	Published - 2018 Apr 9
Externally published	Yes

Keywords

Betti numbers
Central limit theorem
De-Poissonization
Stochastic geometry
Strong stabilization
Thermodynamic regime

ASJC Scopus subject areas

General

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title = "On central limit theorems in stochastic geometry",

abstract = "60F05, 60D05We 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.",

keywords = "Betti numbers, Central limit theorem, De-Poissonization, Stochastic geometry, Strong stabilization, Thermodynamic regime",

author = "Trinh, {Khanh Duy}",

year = "2018",

month = apr,

day = "9",

language = "English",

journal = "Nuclear Physics A",

issn = "0375-9474",

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KW - Central limit theorem

KW - De-Poissonization

KW - Stochastic geometry

KW - Strong stabilization

KW - Thermodynamic regime

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