Work

Central limit theorems for Gaussian polytopes

Year: 2007

Type: article

Abstract: Choose n random, independent points in Rd according to the standard normal distribution. Their convex hull Kn is the Gaussian random polytope. We prove that the volume and the number of faces of Kn satisfy the central limit theorem, settling a well-known conjecture in the field.

Source: The Annals of Probability

DOI: 10.1214/009117906000000791

Authors: Imre Bárány, Van Vu

Institutions: Rutgers, The State University of New Jersey, HUN-REN Alfréd Rényi Institute of Mathematics, University College London

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

OpenAlex ID: W2077846610