96 citations · 107 across the 4 of their papers we have counts for
5 papers
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-…
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.…
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 …
Vicious walkers, friendly walkers and Young tableaux III: Between two walls
Christian Krattenthaler, Anthony J. Guttmann, Xavier G. Viennot
We derive exact and asymptotic results for the number of star and watermelon configurations of vicious walkers confined to lie between two impenetrable walls, as well as for the an…
Vicious walkers, friendly walkers and Young tableaux II: With a wall
Christian Krattenthaler, Anthony J. Guttmann, Xavier G. Viennot
We derive new results for the number of star and watermelon configurations of vicious walkers in the presence of an impenetrable wall by showing that these follow from standard res…