Logarithmically-Concave Moment Measures I

被引：15
|
作者：
Klartag, Bo'az [1 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
来源：
GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS: ISRAEL SEMINAR (GAFA) 2011-2013 | 2014年 / 2116卷
基金：
欧洲研究理事会;
关键词：
CONVEX-BODIES; TRANSPORTATION;
D O I：
10.1007/978-3-319-09477-9_16
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss a certain Riemannian metric, related to the toric Kahler-Einstein equation, that is associated in a linearly-invariant manner with a given log-concave measure in R-n. We use this metric in order to bound the second derivatives of the solution to the toric Kahler-Einstein equation, and in order to obtain spectral-gap estimates similar to those of Payne and Weinberger.
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页码：231 / 260
页数：30
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