Quantitative stability of the Brunn-Minkowski inequality for sets of equal volume

© 2017, Fudan University and Springer-Verlag Berlin Heidelberg. The authors prove a quantitative stability result for the Brunn-Minkowski inequality on sets of equal volume: If |A| = |B| > 0 and |A + B|1/n = (2+δ)|A|1/n for some small δ, then, up to a translation, both A and B are close (in terms...

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Bibliographic Details
Main Authors: Figalli, Alessio, Jerison, David
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Nature 2021
Online Access:https://hdl.handle.net/1721.1/135700