Showing 2024Show all
3 papers · 1 filter
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…
math.PR2024
Six-vertex model with rare corners and random restricted permutations
Vadim Gorin, Richard Kenyon
We study limit shapes in two equivalent models: the six-vertex model in the limit and the random Mallows permutation with restricted permutation matrix. We give the Euler-L…