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 plane

Authors: Guy Fayolle 1; Kilian Raschel 2,3

  • 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: Random walk in the quarter plane,generating function,singularity analysis,boundary value problem.,[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]

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Source : ScholeXplorer IsRelatedTo ARXIV 2006.02299
Source : ScholeXplorer IsRelatedTo DOI 10.1007/s00026-021-00541-8
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  • 10.1007/s00026-021-00541-8
  • 2006.02299
On the Nature of Four Models of Symmetric Walks Avoiding a Quadrant

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