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Floating Functions Li, Ben
Description
We introduce floating bodies for convex, not necessarily bounded subsets of Rn. This allows us to define floating functions for convex and log concave functions and log concave measures. We establish the asymptotic behavior of the integral difference of a log concave function and its floating function. This gives rise to a new affine invariant which bears striking similarities to the Euclidean affine surface area. This is a joint work with Carsten Sch{\"u}tt and Elisabeth Werner.
Item Metadata
Title |
Floating Functions
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-03-29T15:42
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Description |
We introduce floating bodies for convex, not necessarily bounded
subsets of Rn. This allows us to define floating functions for convex
and log concave functions and log concave measures. We establish the
asymptotic behavior of the integral difference of a log concave
function and its floating function. This gives rise to a new affine
invariant which bears striking similarities to the Euclidean affine
surface area. This is a joint work with Carsten Sch{\"u}tt and
Elisabeth Werner.
|
Extent |
17 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Case Western Reserve University
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Series | |
Date Available |
2018-09-26
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0372158
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International