3 papers
math.PR2025
On the Martin boundary for discrete TASEP
Vadim Gorin, Sergei Korotkikh
We study a problem with three equivalent formulations: describing Gibbs measures for five-vertex model in quadrant; classifying coherent systems on a p-deformation of the Gelfand-T…
math.RT2024
Eigenvalues of Heckman-Polychronakos operators
Charles Dunkl, Vadim Gorin
Heckman-Polychronakos operators form a prominent family of commuting differential-difference operators defined in terms of the Dunkl operators as $\mathcal P_m= \sum…
math.PR2024
Airy line ensemble and its Laplace transform
Vadim Gorin, Jiaming Xu, Lingfu Zhang
The Airy line ensemble is a random collection of continuous curves, which should serve as a universal edge scaling limit in problems related to eigenvalues of random matrices a…