14 citations · 25 across the 8 of their papers we have counts for
9 papers
Fluctuations of lattice zonotopes and polygons
Théophile Buffière, Philippe Marchal
Following Barany et al., who proved that large random lattice zonotopes converge to a deterministic shape in any dimension after rescaling, we establish a central limit theorem for…
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…
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…
Rectangular Young tableaux and the Jacobi ensemble
Philippe Marchal
It has been shown by Pittel and Romik that the random surface associated with a large rectangular Young tableau converges to a deterministic limit. We study the fluctuations from t…
Random-bit optimal uniform sampling for rooted planar trees with given sequence of degrees and Applications
Olivier Bodini, David Julien, Marchal Philippe
In this paper, we redesign and simplify an algorithm due to Remy et al. for the generation of rooted planar trees that satisfies a given partition of degrees. This new version is n…