The One‐Dimensional Log‐Gas Free Energy Has a Unique Minimizer
نویسندگان
چکیده
We prove that, at every positive temperature, the infinite-volume free energy of one-dimensional log-gas, or beta-ensemble, has a unique minimizer, which is Sine-beta process arising from random matrix theory. rely on quantitative displacement convexity argument level point processes, and screening procedure introduced by Sandier-Serfaty. © 2021 The Authors. Communications Pure Applied Mathematics published Wiley Periodicals LLC.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2021
ISSN: ['1097-0312', '0010-3640']
DOI: https://doi.org/10.1002/cpa.21977