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Regular version of the site

Article

Macdonald-level extension of beta ensembles and large-N limit transition

Communications in Mathematical Physics. 2021. Vol. 385. P. 595-631.

We introduce and study a family of (qt)-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.