96 citations · 107 across the 4 of their papers we have counts for
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math.CO2016
Rhombic alternative tableaux and assemblées of permutations
Olya Mandelshtam, Xavier Viennot
In this paper, we introduce the rhombic alternative tableaux, whose weight generating functions provide combinatorial formulae to compute the steady state probabilities of the two-…
math.CO2015★ 11 cited
Tableaux combinatorics of the two-species PASEP
Olya Mandelshtam, Xavier Viennot
We study a two-species PASEP, in which there are two types of particles, "heavy" and "light," hopping right and left on a one-dimensional lattice of cells with open boundaries.…
math.CO2014
An extension of Tamari lattices
Louis-François Préville-Ratelle, Xavier Viennot
For any finite path on the square grid consisting of north and east unit steps, starting at (0,0), we construct a poset Tam that consists of all the paths weakly above …