Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 283, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2022.109487
Keywords
Large deviations; Discrete beta ensembles; Krawtchouk ensemble; Jack symmetric functions
Categories
Funding
- NSF [DMS:1811143, DMS:2054703]
- Fernholz Foundation's Summer Minerva Fellows program
- Minerva Foundation Fellowship
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This paper introduces discrete beta-ensembles and establishes a large deviation principle for the rightmost particle. The general results are applied to two classes of measures related to Jack symmetric functions.
We consider discrete beta-ensembles as introduced by Borodin, Gorin and Guionnet (2017) [9]. Under general assumptions, we establish a large deviation principle for their rightmost particle. We apply our general results to two classes of measures that are related to Jack symmetric functions. Published by Elsevier Inc.
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