A quantitative Brunn-Minkowski inequality and estimates on the the remainder in the Riesz rearrangement inequality.

Math Physics Seminar
Friday, November 1, 2013 - 4:05pm
1 hour (actually 50 minutes)
Skiles 006
Rutgers University
 We prove a quantitative Brunn-Minkowski inequality for sets E and K,one of which, K,  is assumed convex, but without assumption on the other set. We are primarily interested in the case in which K is a ball. We use this to prove an estimate on the remainder in the Riesz rearrangement inequality under certain conditions on the three functions involved that are relevant to a problem arising in statistical mechanics:  This is joint work with Franceso Maggi.