183 citations · 444 across the 28 of their papers we have counts for
4 papers · 1 filter
Bijections for Weyl Chamber walks ending on an axis, using arc diagrams and Schnyder woods
Julien Courtiel, Éric Fusy, Mathias Lepoutre +1
In the study of lattice walks there are several examples of enumerative equivalences which amount to a trade-off between domain and endpoint constraints. We present a family of suc…
Some families of trees arising in permutation analysis
Mathilde Bouvel, Marni Mishna, Cyril Nicaud
We extend classical results on simple varieties of trees (asymptotic enumeration, average behavior of tree parameters) to trees counted by their number of leaves. Motivated by geno…
Weighted Lattice Walks and Universality Classes
Julien Courtiel, Stephen Melczer, Marni Mishna +1
In this work we consider two different aspects of weighted walks in cones. To begin we examine a particular weighted model, known as the Gouyou-Beauchamps model. Using the theory o…
Taming Reluctant Random Walks in the Positive Quadrant
Jeremie Lumbroso, Marni Mishna, Yann Ponty
A lattice walk model is said to be reluctant if the defining step set has a strong drift towards the boundaries. We describe efficient random generation strategies for these walks.