- Series
- Stochastics Seminar
- Time
- Thursday, February 18, 2016 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Galyna Livshyts – School of Mathematics, Georgia Tech
- Organizer
- Galyna Livshyts
Log Brunn-Minkowski conjecture was proposed by Boroczky, Lutwak,
Yang and Zhang in 2013. It states that in the case of symmetric convex sets
the classical Brunn-MInkowski inequality may be improved. The Gaussian
Brunn-MInkowski inequality was proposed by Gardner and Zvavitch in 2007. It
states that for the standard Gaussian measure an inequality analogous to the
additive form of Brunn_minkowski inequality holds true for symmetric convex
sets. In this talk we shall discuss a derivation of an equivalent
infinitesimal versions of these inequalities for rotation invariant measures
and a few partial results related to both of them as well as to the
classical Alexander-Fenchel inequality.