On the mean width of log-concave functions

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this work we present a new, natural, definition for the mean width of log-concave functions. We show that the new definition coincides with a previous one by B. Klartag and V. Milman, and deduce some properties of the mean width, including an Urysohn type inequality. Finally, we prove a functional version of the finite volume ratio estimate and the low-estimate.

Original languageEnglish
Title of host publicationGeometric Aspects of Functional Analysis
Subtitle of host publicationIsrael Seminar 2006-2010
Number of pages18
StatePublished - 2012
Externally publishedYes

Publication series

NameLecture Notes in Mathematics

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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