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Some exact asymptotics in the counting of walks in the quarter-plane

Abstract : 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.
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Submitted on : Monday, December 17, 2012 - 9:45:56 AM
Last modification on : Friday, January 21, 2022 - 3:20:56 AM
Long-term archiving on: : Monday, March 18, 2013 - 3:44:13 AM


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  • HAL Id : hal-00765851, version 1
  • ARXIV : 1201.4152



Guy Fayolle, Kilian Raschel. Some exact asymptotics in the counting of walks in the quarter-plane. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2012, pp.109-124. ⟨hal-00765851⟩



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