3 papers
math.CO2025
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.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
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…