53 citations · 254 across the 41 of their papers we have counts for
3 papers · 1 filter
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…
Lecture hall tableaux
Sylvie Corteel, Jang Soo Kim
We introduce lecture hall tableaux, which are fillings of a skew Young diagram satisfying certain conditions. Lecture hall tableaux generalize both lecture hall partitions and anti…