Counting lattice walks by winding angle

zbMath1459.60096arXiv2003.01740MaRDI QIDQ2199835

Andrew Elvey Price

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01740

zbMATH Keywords

theta functionlattice pathwinding anglewalks in cones

Mathematics Subject Classification ID

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

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Cites Work

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• Square lattice walks avoiding a quadrant
• On the nature of the generating series of walks in the quarter plane
• Walks on the slit plane
• On the functions counting walks with small steps in the quarter plane
• Winding of simple walks on the square lattice
• Random walks in cones
• Walks with small steps in the quarter plane

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