4 citations · 4 across the 3 of their papers we have counts for
4 papers · 1 filter
Combinatorics of nondeterministic walks of the Dyck and Motzkin type
Elie De Panafieu, Mohamed Lamine Lamali, Michael Wallner
This paper introduces nondeterministic walks, a new variant of one-dimensional discrete walks. At each step, a nondeterministic walk draws a random set of steps from a predefined s…
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…