38 citations · 183 across the 18 of their papers we have counts for
6 papers · 1 filter
Multicritical Schur measures and higher-order analogues of the Tracy-Widom distribution
Dan Betea, Jérémie Bouttier, Harriet Walsh
We introduce multicritical Schur measures, which are probability laws on integer partitions which give rise to non-generic fluctuations at their edge. They are in the same universa…
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…
New edge asymptotics of skew Young diagrams via free boundaries
Dan Betea, Jérémie Bouttier, Peter Nejjar +1
We study edge asymptotics of poissonized Plancherel-type measures on skew Young diagrams (integer partitions). These measures can be seen as generalizations of those studied by Bai…
Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures
D. Betea, M. Wheeler, P. Zinn-Justin
We prove two identities of Hall-Littlewood polynomials, which appeared recently in a paper by two of the authors. We also conjecture, and in some cases prove, new identities which…
Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices
Dan Betea, Michael Wheeler
We prove and conjecture some new symmetric function identities, which equate the generating series of 1. Plane partitions, subject to certain restrictions and weightings, and 2. Al…