Walks with small steps in the 4D-orthant

DOI10.1007/s00026-020-00520-5zbMath1460.05010arXiv2004.14238OpenAlexW3134286886MaRDI QIDQ2660138

Manfred Buchacher, Manuel Kauers, Sophie Hofmanninger

Publication date: 29 March 2021

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14238

zbMATH Keywords

generating functionsenumerationlattice paths

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Exact enumeration problems, generating functions (05A15)

Cites Work

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• Infinite orders and non-\(D\)-finite property of 3-dimensional lattice walks
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• On the nature of the generating series of walks in the quarter plane
• Automated positive part extraction for lattice path generating functions in the octant
• Walks in the quarter plane: genus zero case
• Weighted lattice walks and universality classes
• Walks in the Quarter Plane with Multiple Steps
• Walks with small steps in the quarter plane
• Automatic Classification of Restricted Lattice Walks
• Continued Classification of 3D Lattice Walks in the Positive Octant
• Counting quadrant walks via Tutte's invariant method (extended abstract)

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