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Quantitative stability for the Brunn–Minkowski inequality
Quantitative stability for the Brunn–Minkowski inequality
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Jerison_Qunatitative stability.pdf
Description
Submitted version
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sword-2019-09-23T11:09:32.original.xml (130 B)
Original SWORD entry document
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Author(s)
Figalli, Alessio
•
Jerison, David S.
Date Issued
2017
Journal
Advances in Mathematics
Publisher
Elsevier BV
Version
Original manuscript
Abstract
© 2016 We prove a quantitative stability result for the Brunn–Minkowski inequality: if |A|=|B|=1, t∈[τ,1−τ] with τ>0, and |tA+(1−t)B|1/n≤1+δ for some small δ, then, up to a translation, both A and B are quantitatively close (in terms of δ) to a convex set K.
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MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/135731.2
DOI of Published Version
https://doi.org/10.1016/J.AIM.2016.12.018
