53 citations · 489 across the 66 of their papers we have counts for
3 papers · 1 filter
Non-D-finite excursions in the quarter plane
Alin Bostan, Kilian Raschel, Bruno Salvy
The number of excursions (finite paths starting and ending at the origin) having a given number of steps and obeying various geometric constraints is a classical topic of combinato…
Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant
Pauline Lafitte-Godillon, Kilian Raschel, Viet Chi Tran
In this paper, we study a flower population in which self-reproduction is not permitted. Individuals are diploid, {that is, each cell contains two sets of chromosomes}, and {distyl…
Some exact asymptotics in the counting of walks in the quarter-plane
Guy Fayolle, Kilian Raschel
Enumeration of planar lattice walks is a classical topic in combinatorics, at the cross-roads of several domains (e.g., probability, statistical physics, computer science). The aim…