CaltechAUTHORS
Published August 1, 2017 | Version public
Journal Article Metadata-only

On the stability of Brunn–Minkowski type inequalities

Creators

  • 1. ROR icon University of Florence
  • 2. ROR icon Georgia Institute of Technology
  • 3. ROR icon California Institute of Technology

Abstract

We establish the stability near a Euclidean ball of two conjectured inequalities: the dimensional Brunn–Minkowski inequality for radially symmetric log-concave measures in Rn, and of the log-Brunn–Minkowski inequality.

Additional Information

© 2017 Elsevier Inc. Received 27 July 2016, Accepted 12 April 2017, Available online 20 April 2017. The second author would like to thank Fedor Nazarov and Artem Zvavitch for useful discussions. The second author would also like to thank the University of Florence, Italy for the hospitality. The third author would like to thank Georgia Institute of Technology for the hospitality, and was supported in part by the Walter S. Baer and Jeri Weiss CMI Postdoctoral Fellowship. The authors are thankful to the anonymous reviewer for valuable suggestions which helped to improve the presentation of this paper.

Additional details

Identifiers

Eprint ID
78459
Resolver ID
CaltechAUTHORS:20170622-083231753

Funding

Walter S. Baer and Jeri Weiss CMI Postdoctoral Fellowship

Dates

Created
2017-06-22
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field