Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Rigidity of the 3D hierarchical Coulomb gas

Rigidity of the 3D hierarchical Coulomb gas

Geometric functional analysis and applications November 13, 2017 - November 17, 2017

November 13, 2017 (04:15 PM PST - 05:15 PM PST)
Speaker(s): Sourav Chatterjee (Stanford University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

The mathematical analysis of Coulomb gases, especially in dimensions higher than one, has been the focus of much recent activity. For the 3D Coulomb, there is a famous prediction of Jancovici, Lebowitz and Manificat that if N is the number of particles falling in a given region, then N has fluctuations of order cube-root of E(N). I will talk about the recent proof of this conjecture for a closely related model, known as the 3D hierarchical Coulomb gas. I will also try to explain, through some toy examples, why such unusually small fluctuations may be expected to appear in interacting gases

Supplements
30093?type=thumb Chatterjee Notes 409 KB application/pdf Download
Video/Audio Files

5-Chatterjee

H.264 Video 5-Chatterjee.mp4 78.9 MB video/mp4 rtsp://videos.msri.org/data/000/029/986/original/5-Chatterjee.mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.