Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models
From MaRDI portal
Publication:2097074
DOI10.1007/978-3-030-84304-5_7zbMath1504.05018arXiv1905.10908OpenAlexW3212272342MaRDI QIDQ2097074
Nicholas R. Beaton, Aleksander L. Owczarek, Rui-Jie Xu
Publication date: 11 November 2022
Full work available at URL: https://arxiv.org/abs/1905.10908
Exact enumeration problems, generating functions (05A15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Cites Work
- Unnamed Item
- An elementary solution of Gessel's walks in the quadrant
- Walks in the quarter plane: Kreweras' algebraic model
- Explicit expression for the generating function counting Gessel's walks
- Square lattice walks avoiding a quadrant
- Two non-holonomic lattice walks in the quarter plane
- New steps in walks with small steps in the quarter plane: series expressions for the generating functions
- D-finite power series
- Classifying lattice walks restricted to the quarter plane
- Basic analytic combinatorics of directed lattice paths
- On the nature of the generating series of walks in the quarter plane
- The kernel method: a collection of examples
- On the functions counting walks with small steps in the quarter plane
- On walks avoiding a quadrant
- Exact solution of some quarter plane walks with interacting boundaries
- Polynomial equations with one catalytic variable, algebraic series and map enumeration
- Walks with small steps in the quarter plane
- An exact solution of two friendly interacting directed walks near a sticky wall
This page was built for publication: Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models