book chapter Open access

Interpolations, Convexity and Geometric Inequalities

Dario Cordero–Erausquin^{a b c d}✉, Bo’az Klartag^{e f}

^aInstitut Universitaire de France, Paris, France
^bInstitut de Mathématiques de Jussieu, Université Pierre et Marie Curie (Paris 6), 4 place Jussieu, 75252, Paris, France
^cInstitut Universitaire de France
^dUniversité Pierre et Marie Curie (Paris 6)
^eSchool of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel Aviv, 69978, Israel
^fTel-Aviv University
✉Corresponding author

Lecture notes in mathematics Springer Nature2012-01-01 23 citations19 references

Looking for the full paper…

Export

Papers open inside SciRah from the original publisher or repository; SciRah never hosts them.

Abstract

We survey some interplays between spectral estimates of Hormander-type, degenerate Monge-Ampere equations and geometric inequalities related to log-concavity such as Brunn-Minkowski, Santalo or Busemann inequalities.

Plain-language summary

AI illustration of the topic of “Interpolations, Convexity and Geometric Inequalities”

Interpolations, Convexity and Geometric Inequalities

Abstract

Plain-language summary

Discussion