3 citations · 9 across the 5 of their papers we have counts for
5 papers · 1 filter
Limit shapes for skew Howe duality
Dan Betea, Anton Nazarov, Travis Scrimshaw
We study large random partitions boxed into a rectangle and coming from skew Howe duality, or alternatively from dual Schur measures. As the sides of the rectangle go to infinity,…
The half-space Airy stat process
Dan Betea, Patrik Ferrari, Alessandra Occelli
We study the multipoint distribution of stationary half-space last passage percolation with exponentially weighted times. We derive both finite-size and asymptotic results for this…
Discrete and continuous Muttalib--Borodin processes I: the hard edge
Dan Betea, Alessandra Occelli
In this note we study a natural measure on plane partitions giving rise to a certain discrete-time Muttalib-Borodin process (MBP): each time-slice is a discrete version of a Muttal…
Determinantal point processes from symplectic and orthogonal characters and applications
Dan Betea
We show that the symplectic and orthogonal character analogues of Okounkov's Schur measure (on integer partitions) are determinantal, with explicit correlation kernels. We apply th…
Stationary half-space last passage percolation
Dan Betea, Patrik L. Ferrari, Alessandra Occelli
In this paper we study stationary last passage percolation (LPP) in half-space geometry. We determine the limiting distribution of the last passage time in a critical window close…