2 papers
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-…
cond-mat.stat-mech2002
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…