14 citations · 87 across the 22 of their papers we have counts for
5 papers · 1 filter
Periodic Pólya urns and an application to Young tableaux
Cyril Banderier, Philippe Marchal, Michael Wallner
P{ó}lya urns are urns where at each unit of time a ball is drawn and is replaced with some other balls according to its colour. We introduce a more general model: The replacement r…
Rectangular Young tableaux with local decreases and the density method for uniform random generation (short version)
Cyril Banderier, Philippe Marchal, Michael Wallner
In this article, we consider a generalization of Young tableaux in which we allow some consecutive pairs of cells with decreasing labels. We show that this leads to a rich variety…
The kernel method for lattice paths below a line of rational slope
Cyril Banderier, Michael Wallner
We analyse some enumerative and asymptotic properties of lattice paths below a line of rational slope. We illustrate our approach with Dyck paths under a line of slope . This…
Lattice paths of slope 2/5
Cyril Banderier, Michael Wallner
We analyze some enumerative and asymptotic properties of Dyck paths under a line of slope 2/5.This answers to Knuth's problem \\#4 from his "Flajolet lecture" during the conference…
Some reflections on directed lattice paths
Cyril Banderier, Michael Wallner
This article analyzes directed lattice paths, when a boundary reflecting or absorbing condition is added to the classical models. The lattice paths are characterized by two time-in…