Large deviations for generalized Gibbs ensembles of the classical Toda chain
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866912664341446656 |
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| author | Guionnet, Alice Memin, Ronan |
| author_facet | Guionnet, Alice Memin, Ronan |
| contents | We prove large deviation principles for the distribution of the empirical measure of the eigenvalues of Lax matrices following the Generalized Gibbs ensembles of the classical Toda chain introduced in [10]. We deduce the almost sure convergence of this empirical measure towards a limit which we describe in terms of the limiting empirical measure of beta-ensembles. Our results apply to general smooth potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_04858 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Large deviations for generalized Gibbs ensembles of the classical Toda chain Guionnet, Alice Memin, Ronan Probability We prove large deviation principles for the distribution of the empirical measure of the eigenvalues of Lax matrices following the Generalized Gibbs ensembles of the classical Toda chain introduced in [10]. We deduce the almost sure convergence of this empirical measure towards a limit which we describe in terms of the limiting empirical measure of beta-ensembles. Our results apply to general smooth potentials. |
| title | Large deviations for generalized Gibbs ensembles of the classical Toda chain |
| topic | Probability |
| url | https://arxiv.org/abs/2103.04858 |