38 citations · 183 across the 18 of their papers we have counts for
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math.PR2014★ 15 cited
Perfect sampling algorithm for Schur processes
Dan Betea, Cédric Boutillier, Jérémie Bouttier +3
We describe random generation algorithms for a large class of random combinatorial objects called Schur processes, which are sequences of random (integer) partitions subject to cer…
math.CO2014★ 3 cited
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…
math.CO2014★ 38 cited
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…