Title	The convex hull of random points on the boundary of a simple polytope
Creator	Schütt, Carsten
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-02-11T09:37
Description	The convex hull of $N$ independent random points chosen on the boundary of a simple polytope in $ \mathbb R^n$ is investigated. Asymptotic formulas for the expected number of vertices and facets, and for the expectation of the volume difference are derived. This is the first successful attempt of investigations which lead to rigorous results for random polytopes which are neither simple nor simplicial. The results contrast existing results when points are chosen in the interior of a convex set. Joint work with Matthias Reitzner and Elisabeth Werner.
Extent	29.0 minutes
Subject	Mathematics; Convex and discrete geometry; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Christian-Albrechts-Universitaet
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-08-10
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0392672
URI	http://hdl.handle.net/2429/75401
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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