Asymptotics of lattice walks via analytic combinatorics in several variables
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Publication:5111013
zbMath1440.05027arXiv1511.02527MaRDI QIDQ5111013
Stephen Melczer, Mark C. Wilson
Publication date: 26 May 2020
Full work available at URL: https://arxiv.org/abs/1511.02527
Related Items
The research and progress of the enumeration of lattice paths, On the nature of four models of symmetric walks avoiding a quadrant, Counting walks with large steps in an orthant, Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior
Cites Work
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- Asymptotic lattice path enumeration using diagonals
- Non-D-finite excursions in the quarter plane
- Walks in the quarter plane: Kreweras' algebraic model
- Hypergeometric expressions for generating functions of walks with small steps in the quarter plane
- Two non-holonomic lattice walks in the quarter plane
- Families of prudent self-avoiding walks
- Classifying lattice walks restricted to the quarter plane
- Generating functions for generating trees
- Linear recurrences with constant coefficients: The multivariate case
- Basic analytic combinatorics of directed lattice paths
- Asymptotics of multivariate sequences. I: Smooth points of the singular variety
- Walks confined in a quadrant are not always D-finite
- On the functions counting walks with small steps in the quarter plane
- Random walks in cones: the case of nonzero drift
- A human proof of Gessel’s lattice path conjecture
- Analytic Combinatorics in Several Variables
- Some exact asymptotics in the counting of walks in the quarter-plane
- Proof of Ira Gessel's lattice path conjecture
- Automatic Classification of Restricted Lattice Walks
- Singularity Analysis Via the Iterated Kernel Method
- Twenty Combinatorial Examples of Asymptotics Derived from Multivariate Generating Functions
- Asymptotics of Multivariate Sequences II: Multiple Points of the Singular Variety
- The complete generating function for Gessel walks is algebraic
- Asymptotics of coefficients of multivariate generating functions: improvements for multiple points
