A Galois structure on the orbit of large steps walks in the quadrant

• Published in: arXiv.org
• Main Authors: Bonnet, Pierre, Hardouin, Charlotte
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 17.09.2024
• Subjects: Decoupling; Enumeration; Functional equations

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 and Mishna defined a group called the group of the walk which turned out to be crucial in the classification of the smal...