@inbook{843b1113ff8d4a48853352d3d270221f,
title = "Interpolations, convexity and geometric inequalities",
abstract = "We survey some interplays between spectral estimates of H{\"o}rmander-type, degenerate Monge-Amp{\`e}re equations and geometric inequalities related to log-concavity such as Brunn-Minkowski, Santal{\'o} or Busemann inequalities.",
author = "Dario Cordero-Erausquin and Bo'Az Klartag",
note = "Funding Information: We thank Yanir Rubinstein and Bo Berndtsson for interesting, related discussions. Bo{\textquoteright}az Klartag was supported in part by the Israel Science Foundation and by a Marie Curie Reintegration Grant from the Commission of the European Communities.",
year = "2012",
doi = "10.1007/978-3-642-29849-3_9",
language = "الإنجليزيّة",
isbn = "9783642298486",
volume = "2050",
series = "Lecture Notes in Mathematics",
publisher = "Springer Verlag",
pages = "151--168",
editor = "Bo{\textquoteright}az Klartag and Milman, {Vitali D.} and Shahar Mendelson",
booktitle = "Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics",
address = "ألمانيا",
}