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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: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Coulomb gas

  • interacting particles

  • rigidity

  • hyperuniformity

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

5-Chatterjee
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/5-Chatterjee/5-Chatterjee.mp4 Download
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