4 citations · 6 across the 5 of their papers we have counts for
6 papers · 1 filter
From geometry to generating functions: rectangulations and permutations
Andrei Asinowski, Cyril Banderier
We enumerate several classes of pattern-avoiding rectangulations. We establish new bijective links with pattern-avoiding permutations, prove that their generating functions are alg…
Height of walks with resets, the Moran model, and the discrete Gumbel distribution
Rafik Aguech, Asma Althagafi, Cyril Banderier
In this article, we consider several models of random walks in one or several dimensions, additionally allowing, at any unit of time, a reset (or "catastrophe") of the walk with pr…
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…
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…