Macdonald-Level Extension of Beta Ensembles and Large-N Limit Transition

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We introduce and study a family of (q, t)-deformed discrete N-particle beta ensembles, where q and t are the parameters of Macdonald polynomials. The main result is the existence of a large-N limit transition leading to random point processes with infinitely many particles.

Original languageEnglish
Pages (from-to)595-631
Number of pages37
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - Jul 2021


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