Large deviations for Gibbs ensembles of the classical Toda chain-Reference-Cited by-同舟云学术

Large deviations for Gibbs ensembles of the classical Toda chain

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Guionnet Alice¹,Memin Ronan¹

Affiliation:

1. Université de Lyon, ENSL, CNRS, France

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference11 articles.

1. A. Dembo and O. Zeitouni, Large deviations techniques and applications, Stochastic Modelling and Applied Probability, vol. 38, Springer-Verlag, Berlin, 2010, Corrected reprint of the second (1998) edition. (2011b:60094)

2. I. Dumitriu and A. Edelman, Matrix models for beta ensembles, J. Math. Phys. 43 (2002), 5830–5847.

3. David García-Zelada, A large deviation principle for empirical measures on Polish spaces: application to singular Gibbs measures on manifolds, Ann. Inst. Henri Poincaré Probab. Stat. 55 (2019), no. 3, 1377–1401.

4. Tamara Grava and Guido Mazzuca, Generalized gibbs ensemble of the ablowitz-ladik lattice, circular beta-ensemble and double confluent heun equation, 2107.02303v3 (2021).

5. Alice Guionnet, Large random matrices: lectures on macroscopic asymptotics, Lecture Notes in Mathematics, vol. 1957, Springer-Verlag, Berlin, 2009, Lectures from the 36th Probability Summer School held in Saint-Flour, 2006.

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