TY - CHAP

T1 - On the mean width of log-concave functions

AU - Rotem, Liran

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

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U2 - 10.1007/978-3-642-29849-3_22

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

M3 - Chapter

AN - SCOPUS:84865321450

SN - 9783642298486

T3 - Lecture Notes in Mathematics

SP - 355

EP - 372

BT - Geometric Aspects of Functional Analysis

PB - Springer Verlag

ER -