Exact solution of some quarter plane walks with interacting boundaries

zbMath1420.05010arXiv1807.08853MaRDI QIDQ2325754

Nicholas R. Beaton, Aleksander L. Owczarek, Andrew Rechnitzer

Publication date: 30 September 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.08853

zbMATH Keywords

statistical mechanicalgeneralised Kreweras model

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (7)

The degree of symmetry of lattice paths ⋮ The generating function of Kreweras walks with interacting boundaries is not algebraic ⋮ Quarter-plane lattice paths with interacting boundaries: Kreweras and friends ⋮ Inhomogeneous restricted lattice walks ⋮ On walks avoiding a quadrant ⋮ Discrete harmonic functions in the three-quarter plane ⋮ Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models

Uses Software

• SageMath
• ore_algebra

Cites Work

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