Dimensionality and the stability of the Brunn-Minkowski inequality

Details Dimensionality and the stability of the Brunn-Minkowski inequality Dimensionality and the stability of the Brunn-Minkowski inequality

2011-10-30

arxiv.org/abs/1110.6584v1

Mathematics

Metric Geometry

21 pages

Scientific paper

We prove stability estimates for the Brunn-Minkowski inequality for convex
sets. Unlike existing stability results, our estimates improve as the dimension
grows. Our results are equivalent to a thin shell bound, which is one of the
central ingredients in the proof of the central limit theorem for convex sets.

Affiliated with

Also associated with

No associations

Rating

Dimensionality and the stability of the Brunn-Minkowski inequality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dimensionality and the stability of the Brunn-Minkowski inequality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dimensionality and the stability of the Brunn-Minkowski inequality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-12663