Videos

Rigidity of the 3D hierarchical Coulomb gas

Presenter
November 13, 2017
Keywords:
  • Coulomb gas
  • interacting particles
  • rigidity
  • hyperuniformity
MSC:
  • 60K35
  • 82B05
Abstract
he 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.