53 citations · 254 across the 41 of their papers we have counts for
5 papers · 1 filter
A simple bijection between permutation tableaux and permutations
Sylvie Corteel
We present a simple a bijection between permutations of with descents and permutation tableaux of length with columns.
A Markov chain on permutations which projects to the PASEP
Sylvie Corteel, Lauren K. Williams
The partially asymmetric exclusion process (PASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a on…
Tableaux combinatorics for the asymmetric exclusion process
Sylvie Corteel, Lauren K. Williams
The partially asymmetric exclusion process (PASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a on…
Crossing and alignments of permutations
Sylvie Corteel
We introduce the notion of crossings and nestings of a permutation. We compute the generating function of permutations with a fixed number of weak exceedances, crossings and nestin…
Overpartitions, lattice paths and Rogers-Ramanujan identities
Sylvie Corteel, Olivier Mallet
We extend partition-theoretic work of Andrews, Bressoud, and Burge to overpartitions, defining the notions of successive ranks, generalized Durfee squares, and generalized lattice…