Guy Fayolle ; Kilian Raschel - Some exact asymptotics in the counting of walks in the quarter plane

dmtcs:2988 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AQ, 23rd Intern. Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'12) - https://doi.org/10.46298/dmtcs.2988
Some exact asymptotics in the counting of walks in the quarter planeConference paper

Authors: Guy Fayolle ORCID1; Kilian Raschel ORCID2,3

  • 1 Informatique, Mathématiques et Automatique pour la Route Automatisée
  • 2 Laboratoire de Mathématiques et Physique Théorique
  • 3 Fédération de recherche Denis Poisson


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 of this paper is to propose a new approach to obtain some exact asymptotics for walks confined to the quarter plane.

https://doi.org/10.46298/dmtcs.2988
Source: HAL:hal-01197241v1
Volume: DMTCS Proceedings vol. AQ, 23rd Intern. Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'12)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG], [en] Random walk in the quarter plane, generating function, singularity analysis, boundary value problem.

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