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

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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
Volume385
Issue number1
DOIs
Publication statusPublished - Jul 2021

Fingerprint

Dive into the research topics of 'Macdonald-Level Extension of Beta Ensembles and Large-N Limit Transition'. Together they form a unique fingerprint.

Cite this