Zusammenfassung für den Vortrag am 15.11.2022 (16:45 Uhr)
Oberseminar ANALYSIS - PROBABILITYMartin Huesmann (WWU Münster)
A variational characterization of the sine_\beta point process
The Sineβ point process is a stationary point process that appears as the limit of a certain system of interacting particles with a logarithmic repulsion, the so called one-dimensional log-gas. In this talk, we give a characterisation of the Sineβ process as the unique minimizer of a free energy functional. Our argument is based on the combination of optimal transport ideas for point processes and approximation techniques for log-gases (screening).