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

Erbar M, Huesmann M, Leble 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; Leble, 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) 2020 Wiley Periodicals, Inc.
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, Leble 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., & Leble, T. (2021). The One-Dimensional Log-Gas Free Energy Has a Unique Minimizer. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 74(3), 615-675. doi:10.1002/cpa.21977
Erbar, M., Huesmann, M., and Leble, 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., & Leble, 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. Leble, “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., Leble, 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 Leble, 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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