3 citations · 9 across the 5 of their papers we have counts for
10 papers
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…
Multicritical random partitions
Dan Betea, Jérémie Bouttier, Harriet Walsh
We study two families of probability measures on integer partitions, which are Schur measures with parameters tuned in such a way that the edge fluctuations are characterized by a…
Muttalib--Borodin plane partitions and the hard edge of random matrix ensembles
Dan Betea, Alessandra Occelli
We study probabilistic and combinatorial aspects of natural volume-and-trace weighted plane partitions and their continuous analogues. We prove asymptotic limit laws for the larges…
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…