Walks in the quarter plane: genus zero case
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Publication:2174950
DOI10.1016/j.jcta.2020.105251zbMath1439.05015arXiv1710.02848OpenAlexW2762216460MaRDI QIDQ2174950
Julien Roques, Charlotte Hardouin, Thomas Dreyfus, Michael F. Singer
Publication date: 27 April 2020
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.02848
Exact enumeration problems, generating functions (05A15) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Asymptotic enumeration (05A16) Linear difference equations (39A06)
Related Items (13)
Counting quadrant walks via Tutte's invariant method ⋮ Difference Galois theory for the ``applied mathematician ⋮ Walks with small steps in the 4D-orthant ⋮ Enumeration of three-quadrant walks via invariants: some diagonally symmetric models ⋮ Enumerative combinatorics. Abstracts from the workshop held December 11--17, 2022 ⋮ Harmonic functions for singular quadrant walks ⋮ Enumeration of walks with small steps avoiding a quadrant ⋮ Galois groups of linear difference-differential equations ⋮ On the nature of four models of symmetric walks avoiding a quadrant ⋮ On differentially algebraic generating series for walks in the quarter plane ⋮ Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions ⋮ Counting walks with large steps in an orthant ⋮ On the kernel curves associated with walks in the quarter plane
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