Some exact asymptotics in the counting of walks in the quarter plane
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2012-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/2988/pdf |
| _version_ | 1797270346696491008 |
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| author | Guy Fayolle Kilian Raschel |
| author_facet | Guy Fayolle Kilian Raschel |
| author_sort | Guy Fayolle |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-25T02:02:49Z |
| format | Article |
| id | doaj.art-564582be5cad4ce0bd2c23e520151c18 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:02:49Z |
| publishDate | 2012-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-564582be5cad4ce0bd2c23e520151c182024-03-07T14:50:50ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502012-01-01DMTCS Proceedings vol. AQ,...Proceedings10.46298/dmtcs.29882988Some exact asymptotics in the counting of walks in the quarter planeGuy Fayolle0Kilian Raschel1Informatique, Mathématiques et Automatique pour la Route AutomatiséeFédération de recherche Denis PoissonEnumeration 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://dmtcs.episciences.org/2988/pdfrandom walk in the quarter planegenerating functionsingularity analysisboundary 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] |
| spellingShingle | Guy Fayolle Kilian Raschel Some exact asymptotics in the counting of walks in the quarter plane Discrete Mathematics & Theoretical Computer Science 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] |
| title | Some exact asymptotics in the counting of walks in the quarter plane |
| title_full | Some exact asymptotics in the counting of walks in the quarter plane |
| title_fullStr | Some exact asymptotics in the counting of walks in the quarter plane |
| title_full_unstemmed | Some exact asymptotics in the counting of walks in the quarter plane |
| title_short | Some exact asymptotics in the counting of walks in the quarter plane |
| title_sort | some exact asymptotics in the counting of walks in the quarter plane |
| topic | 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] |
| url | https://dmtcs.episciences.org/2988/pdf |
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