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Discrete Mathematics & Theoretical Computer Science |
We extend the classification of nearest neighbour walks in the quarter plane to models in which multiplicities are attached to each direction in the step set. Our study leads to a small number of infinite families that completely characterize all the models whose associated group is D4, D6, or D8. These families cover all the models with multiplicites 0, 1, 2, or 3, which were experimentally found to be D-finite — with three noteworthy exceptions.
Source : ScholeXplorer
IsRelatedTo ARXIV 0806.4300 Source : ScholeXplorer IsRelatedTo DOI 10.1073/pnas.0901678106 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.0806.4300 Source : ScholeXplorer IsRelatedTo PMC PMC2710637 Source : ScholeXplorer IsRelatedTo PMID 19556543
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