Title	Results and counter-examples concerning the (B)-conjecture
Creator	Rotem, Liran
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-03-27T11:11
Description	In 2003 Cordero-Erausquin, Fradelizi, and Maurey proved that the standard Gaussian measure satisfies a certain concavity property known as the (B) property. This (B) property has two versions, a weak version and a strong one. It is conjectured that any even log-concave measure satisfies at least the weak (B)-property. We will show that strong (B) property can fail even for arbitrarily small Gaussian perturbations on the standard Gaussian measure. We will also discuss some results and equivalent formulations of the above conjecture regarding the weak (B) property. Based on joint work with D.~Cordero-Erausquin.
Extent	27 minutes
Subject	Mathematics; Functional analysis; Convex and discrete geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Minnesota
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-09-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372140
URI	http://hdl.handle.net/2429/67235
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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