Bulk Universality of General $β$-Ensembles with Non-convex Potential

Details Bulk Universality of General $β$-Ensembles with Non-convex Potential Bulk Universality of General $β$-Ensembles with Non-convex Potential

2012-01-11

arxiv.org/abs/1201.2283v1

Mathematics

Probability

Scientific paper

We prove the bulk universality of the $\beta$-ensembles with non-convex regular analytic potentials for any $\beta>0$. This removes the convexity assumption appeared in our earlier work. The convexity condition enabled us to use the logarithmic Sobolev inequality to estimate events with small probability. The new idea is to introduce a "convexified measure" so that the local statistics are preserved under this convexification.

Affiliated with

Also associated with

No associations

Rating

Bulk Universality of General $β$-Ensembles with Non-convex Potential 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 Bulk Universality of General $β$-Ensembles with Non-convex Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bulk Universality of General $β$-Ensembles with Non-convex Potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-604196