4 citations · 5 across the 3 of their papers we have counts for
7 papers
Periodic Pólya Urns, the Density Method, and Asymptotics of Young Tableaux
Cyril Banderier, Philippe Marchal, Michael Wallner
Pólya urns are urns where at each unit of time a ball is drawn and replaced with some other balls according to its colour. We introduce a more general model: the replacement rule d…
On the period mod of polynomially-recursive sequences: a case study
Cyril Banderier, Florian Luca
Polynomially-recursive sequences generally have a periodic behavior mod . In this paper, we analyze the period mod of a second order polynomially-recursive sequence. The pro…
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…
Local time for lattice paths and the associated limit laws
Cyril Banderier, Michael Wallner
For generalized Dyck paths (i.e., directed lattice paths with any finite set of jumps), we analyse their local time at zero (i.e., the number of times the path is touching or cross…
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…
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…