3 papers
math.CO2025
On the D-finiteness of generating functions counting small steps walks in the quadrant
Charlotte Hardouin
The enumeration of small steps walks confined to the first quadrant of the plane has attracted a lot of attention over the past fifteen years. The associated generating functions a…
math.CO2024
A Galois structure on the orbit of large steps walks in the quadrant
Pierre Bonnet, Charlotte Hardouin
The enumeration of weighted walks in the quarter plane reduces to studying a functional equation with two catalytic variables. When the steps of the walk are small, Bousquet-Mélou…
math.CO2024
Galoisian structure of large steps walks in the quadrant
Pierre Bonnet, Charlotte Hardouin
The enumeration of walks in the quarter plane confined in the first quadrant has attracted a lot of attention over the past fifteenth years. The generating functions associated to…