Quarter-plane lattice paths with interacting boundaries: Kreweras and friends

zbMath1436.05008MaRDI QIDQ2306477

Nicholas R. Beaton, Aleksander L. Owczarek, Rui-Jie Xu

Publication date: 23 March 2020

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

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//26.html

zbMATH Keywords

kernel methodlattice pathsquarter-planealgebraic generating functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19)

Related Items (3)

INTERACTING QUARTER-PLANE LATTICE WALK PROBLEMS: SOLUTIONS AND PROOFS ⋮ Discrete harmonic functions in the three-quarter plane ⋮ Exact solution of some quarter plane walks with interacting boundaries

Uses Software

• ore_algebra

Cites Work

• Unnamed Item
• Walks in the quarter plane: Kreweras' algebraic model
• Classifying lattice walks restricted to the quarter plane
• Exact solution of some quarter plane walks with interacting boundaries
• Counting walks in a quadrant: a unified approach via boundary value problems
• Ore Polynomials in Sage
• Walks with small steps in the quarter plane
• Automatic Classification of Restricted Lattice Walks

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