38 citations · 183 across the 18 of their papers we have counts for
4 papers · 1 filter
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…