Large deviations for discrete \(\beta\)-ensembles (Q2127593)
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| Language | Label | Description | Also known as |
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| English | Large deviations for discrete \(\beta\)-ensembles |
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Large deviations for discrete \(\beta\)-ensembles (English)
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20 April 2022
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The authors consider discrete analogues of the \(\beta\)-ensembles as introduced in the work of \textit{A. Borodin} et al. [Publ. Math., Inst. Hautes Étud. Sci. 125, 1--78 (2017; Zbl 1406.60008)]. Under general assumptions, they establish a large deviation principle for the rightmost particle. They apply their general results to two classes of measures that are related to Jack symmetric functions.
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large deviations
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discrete beta ensembles
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Krawtchouk ensemble
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Jack symmetric function
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