Quantitative Isoperimetric Inequalities on the Real Line

Details Quantitative Isoperimetric Inequalities on the Real Line Quantitative Isoperimetric Inequalities on the Real Line

2010-11-17

arxiv.org/abs/1011.3995v3

Mathematics

Probability

14 pages, 3 figures

Scientific paper

In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a half-space. Using only geometric tools, we extend their result to all symmetric log-concave measures \mu on the real line. We give sharp quantitative isoperimetric inequalities and prove that among sets of given measure and given asymmetry (distance to half line, i.e. distance to sets of minimal perimeter), the intervals or complements of intervals have minimal perimeter.

Affiliated with

Also associated with

No associations

Rating

Quantitative Isoperimetric Inequalities on the Real Line 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 Quantitative Isoperimetric Inequalities on the Real Line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantitative Isoperimetric Inequalities on the Real Line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-112807