Mathematical Sciences Research Institute

Home » Workshop » Schedules » Counting Points in Boxes: the Riesz Family & Friends

Counting Points in Boxes: the Riesz Family & Friends

[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 2 September 20, 2021 - September 24, 2021

September 22, 2021 (10:05 AM PDT - 10:55 AM PDT)
Speaker(s): Thomas Leblé (Université de Paris V (René Descartes))
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
No Video Uploaded

Members of the Riesz family are statistical physics systems that include Coulomb and log-gases. Each one gives rise to a (Gibbsian) point process, and a basic question is to study the random number of points in large d-dimensional boxes. In some "solvable" cases, one finds interesting properties like hyperuniformity and (number)-rigidity as well as a tripartite "large deviations" estimate. "Universality" of such features with respect to the interaction, the temperature, the external field is mostly open. I will present several questions (and few results) around this theme.

Supplements No Notes/Supplements Uploaded
Video/Audio Files
No Video Files Uploaded