The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer

Erbar M, Huesmann M, Leblé T (2021)
Communications on Pure and Applied Mathematics 74(3): 615-675.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Erbar, MatthiasUniBi; Huesmann, Martin; Leblé, Thomas
Abstract / Bemerkung
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.
Erscheinungsjahr
2021
Zeitschriftentitel
Communications on Pure and Applied Mathematics
Band
74
Ausgabe
3
Seite(n)
615-675
ISSN
0010-3640
eISSN
1097-0312
Page URI
https://pub.uni-bielefeld.de/record/2950676

Zitieren

Erbar M, Huesmann M, Leblé T. The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer. Communications on Pure and Applied Mathematics. 2021;74(3):615-675.
Erbar, M., Huesmann, M., & Leblé, T. (2021). The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer. Communications on Pure and Applied Mathematics, 74(3), 615-675. https://doi.org/10.1002/cpa.21977
Erbar, M., Huesmann, M., and Leblé, T. (2021). The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer. Communications on Pure and Applied Mathematics 74, 615-675.
Erbar, M., Huesmann, M., & Leblé, T., 2021. The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer. Communications on Pure and Applied Mathematics, 74(3), p 615-675.
M. Erbar, M. Huesmann, and T. Leblé, “The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer”, Communications on Pure and Applied Mathematics, vol. 74, 2021, pp. 615-675.
Erbar, M., Huesmann, M., Leblé, T.: The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer. Communications on Pure and Applied Mathematics. 74, 615-675 (2021).
Erbar, Matthias, Huesmann, Martin, and Leblé, Thomas. “The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer”. Communications on Pure and Applied Mathematics 74.3 (2021): 615-675.
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2021-07-19T14:34:04Z
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