Work

Poisson polytopes

Year: 2010

Type: article

Abstract: We prove the central limit theorem for the volume and the f-vector of the Poisson random polytope Πη in a fixed convex polytope P ⊂ ℝd. Here, Πη is the convex hull of the intersection of a Poisson process X of intensity η with P.

Source: The Annals of Probability

DOI: 10.1214/09-aop514

Authors: Imre Bárány, Matthias Reitzner

Institutions: HUN-REN Alfréd Rényi Institute of Mathematics, Osnabrück University, University College London, Hungarian Academy of Sciences

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Hebrew University of Jerusalem

OpenAlex ID: W3037501403

FWCI: 3.586

Cites: 27

Cited by: 30

Related to: 8