Large deviations for Gibbs ensembles of the classical Toda chain
Electronic Journal of Probability, ISSN: 1083-6489, Vol: 27, Issue: none
2022
- 7Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations7
- Citation Indexes7
- CrossRef2
Article Description
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 [9]. 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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85129046815&origin=inward; http://dx.doi.org/10.1214/22-ejp771; https://projecteuclid.org/journals/electronic-journal-of-probability/volume-27/issue-none/Large-deviations-for-Gibbs-ensembles-of-the-classical-Toda-chain/10.1214/22-EJP771.full; https://dx.doi.org/10.1214/22-ejp771; https://projecteuclid.org/access-suspended
Institute of Mathematical Statistics
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