79 citations · 635 across the 51 of their papers we have counts for
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Combinatorics of cluster structures in Schubert varieties
Khrystyna Serhiyenko, Melissa Sherman-Bennett, Lauren Williams
We give an explicit combinatorial description of cluster structures in Schubert varieties of the Grassmannian in terms of (target labelings of) Postnikov's plabic graphs. This desc…
Cylindric rhombic tableaux and the two-species ASEP on a ring
Sylvie Corteel, Olya Mandelshtam, Lauren Williams
The asymmetric simple exclusion exclusion process (ASEP) is a model of particles hopping on a one-dimensional lattice of n sites. It was introduced around 1970, and since then has…
From multiline queues to Macdonald polynomials via the exclusion process
Sylvie Corteel, Olya Mandelshtam, Lauren Williams
Recently James Martin introduced multiline queues, and used them to give a combinatorial formula for the stationary distribution of the multispecies asymmetric simple exclusion exc…