A NOTE ON A BRUNN-MINKOWSKI INEQUALITY FOR THE GAUSSIAN MEASURE

被引:27
作者
Nayar, Piotr [1 ]
Tkocz, Tomasz [1 ]
机构
[1] Univ Warsaw, Inst Math, PL-02097 Warsaw, Poland
关键词
Convex body; Gauss measure; Brunn-Minkowski inequality; (B) conjecture;
D O I
10.1090/S0002-9939-2013-11609-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give counterexamples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture.
引用
收藏
页码:4027 / 4030
页数:4
相关论文
共 4 条
[1]   The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems [J].
Cordero-Erausquin, D ;
Fradelizi, M ;
Maurey, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 214 (02) :410-427
[2]   GAUSSIAN BRUNN-MINKOWSKI INEQUALITIES [J].
Gardner, Richard J. ;
Zvavitch, Artem .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (10) :5333-5353
[3]  
Latala R., 2002, P INT C MATH, VII, P813
[4]  
Schneider R., 1993, Convex bodies: The Brunn-Minkowski theory, DOI [10.1017/cbo9780511526282, DOI 10.1017/CBO9780511526282]