{
  "id": "1201.4152",
  "version": "v2",
  "published": "2012-01-19T19:25:22.000Z",
  "updated": "2013-01-12T08:36:23.000Z",
  "title": "Some exact asymptotics in the counting of walks in the quarter-plane",
  "authors": [
    "Guy Fayolle",
    "Kilian Raschel"
  ],
  "comment": "This article is the version 2 of http://fr.arxiv.org/abs/1201.4152v1 It provides an additional table giving a complete classification of the first singularities of the generating functions of interest; http://hal.inria.fr/hal-00765851",
  "journal": "Discrete Mathematics and Theoretical Computer Science (2012) 109-124",
  "categories": [
    "math.PR"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-12T08:36:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "30F10",
      "30D05"
    ],
    "keywords": [
      "exact asymptotics",
      "quarter-plane",
      "planar lattice walks",
      "quarter plane",
      "computer science"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.4152F"
    }
  }
}