On the mean width of log-concave functions

Liran Rotem

doi:10.1007/978-3-642-29849-3_22

On the mean width of log-concave functions

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

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 language	English
Title of host publication	Geometric Aspects of Functional Analysis
Subtitle of host publication	Israel Seminar 2006-2010
Pages	355-372
Number of pages	18
DOIs	https://doi.org/10.1007/978-3-642-29849-3_22
State	Published - 2012
Externally published	Yes

Publication series

Name	Lecture Notes in Mathematics
Volume	2050

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/978-3-642-29849-3_22

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On the mean width of log-concave functions

Abstract

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All Science Journal Classification (ASJC) codes

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