Dimensional behaviour of entropy and information

Details Dimensional behaviour of entropy and information Dimensional behaviour of entropy and information

2011-01-17

arxiv.org/abs/1101.3352v1

C. R. Acad. Sci. Paris, Ser. I 349 (2011), pp. 201--204

Mathematics

Functional Analysis

6 pages

Scientific paper

10.1016/j.crma.2011.01.008

We develop an information-theoretic perspective on some questions in convex geometry, providing for instance a new equipartition property for log-concave probability measures, some Gaussian comparison results for log-concave measures, an entropic formulation of the hyperplane conjecture, and a new reverse entropy power inequality for log-concave measures analogous to V. Milman's reverse Brunn-Minkowski inequality.

Affiliated with

Also associated with

No associations

Rating

Dimensional behaviour of entropy and information 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 Dimensional behaviour of entropy and information, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dimensional behaviour of entropy and information will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285802