4 papers
Gap Probabilities in the Laguerre Unitary Ensemble and Discrete Painlevé Equations
Yang Chen, Anton Dzhamay, Jie Hu
In this paper we study a certain recurrence relation, that can be used to generate ladder operators for the Laguerre Unitary ensemble, from the point of view of Sakai's geometric t…
-Racah ensemble and -P discrete Painlevé equation
Anton Dzhamay, Alisa Knizel
The goal of this paper is to investigate the missing part of the story about the relationship between the orthogonal polynomial ensembles and Painlevé equations. Namely, we conside…
Combinatorics of Matrix Factorizations and Integrable Systems
Anton Dzhamay
We study relations between the eigenvectors of rational matrix functions on the Riemann sphere. Our main result is that for a subclass of functions that are products of two element…
Real-normalized Whitham hierarchies and the WDVV equations
Anton Dzhamay
In this paper we present a construction of a new class of explicit solutions to the WDVV (or associativity) equations. Our construction is based on a relationship between the WDVV…