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.
UR - http://www.scopus.com/inward/record.url?scp=84865321450&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84865321450&partnerID=8YFLogxK
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 -