The one-dimensional log-gas free energy has a unique minimizer
Erbar M, Huesmann M, Leblé T (2021)
Comm. Pure Appl. Math. 74(3): 615-675.
Zeitschriftenaufsatz | Englisch
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Autor*in
Erbar, MatthiasUniBi;
Huesmann, Martin;
Leblé, Thomas
Einrichtung
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 quantita-
tive displacement convexity argument at the level of point processes, and on the
screening procedure introduced by Sandier-Serfaty. © 2021 The Authors. Com-
munications on Pure and Applied Mathematics published by Wiley Periodicals
LLC.
Erscheinungsjahr
2021
Zeitschriftentitel
Comm. Pure Appl. Math.
Band
74
Ausgabe
3
Seite(n)
615-675
Urheberrecht / Lizenzen
ISSN
0010-3640,1097-0312
Page URI
https://pub.uni-bielefeld.de/record/2980854
Zitieren
Erbar M, Huesmann M, Leblé T. The one-dimensional log-gas free energy has a unique minimizer. Comm. Pure Appl. Math. 2021;74(3):615-675.
Erbar, M., Huesmann, M., & Leblé, T. (2021). The one-dimensional log-gas free energy has a unique minimizer. Comm. Pure Appl. Math., 74(3), 615-675. https://doi.org/10.1002/cpa.21977
Erbar, Matthias, Huesmann, Martin, and Leblé, Thomas. 2021. “The one-dimensional log-gas free energy has a unique minimizer”. Comm. Pure Appl. Math. 74 (3): 615-675.
Erbar, M., Huesmann, M., and Leblé, T. (2021). The one-dimensional log-gas free energy has a unique minimizer. Comm. Pure Appl. Math. 74, 615-675.
Erbar, M., Huesmann, M., & Leblé, T., 2021. The one-dimensional log-gas free energy has a unique minimizer. Comm. Pure Appl. Math., 74(3), p 615-675.
M. Erbar, M. Huesmann, and T. Leblé, “The one-dimensional log-gas free energy has a unique minimizer”, Comm. Pure Appl. Math., vol. 74, 2021, pp. 615-675.
Erbar, M., Huesmann, M., Leblé, T.: The one-dimensional log-gas free energy has a unique minimizer. Comm. Pure Appl. Math. 74, 615-675 (2021).
Erbar, Matthias, Huesmann, Martin, and Leblé, Thomas. “The one-dimensional log-gas free energy has a unique minimizer”. Comm. Pure Appl. Math. 74.3 (2021): 615-675.
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