TY  - JOUR
AB  - We prove that, at every positive temperature, the infinite-volume free energy of the one-dimensional log-gas, or beta-ensemble, has a unique minimizer, which is the Sine-beta process arising from random matrix theory. We rely on a quantitative displacement convexity argument at the level of point processes, and on the screening procedure introduced by Sandier-Serfaty. (c) The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals LLC.
DA  - 2021
DO  - 10.1002/cpa.21977
LA  - eng
IS  - 3
M2  - 615
PY  - 2021
SN  - 0010-3640
SP  - 615-675
T2  - Communications on Pure and Applied Mathematics
TI  - The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29506760
Y2  - 2024-11-22T07:51:18
ER  -