Three friendly walkers

DOI10.1088/1751-8121/50/2/024003zbMath1357.82057arXiv1608.01438OpenAlexW2505746378MaRDI QIDQ2958581

Iwan Jensen

Publication date: 3 February 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01438

zbMATH Keywords

exactly solvable modelspower-series expansionsasymptotic series analysis\(\mathrm{D}\)-finite and \(\mathrm{D}\)-algebraic functionsdirected walk models

Mathematics Subject Classification ID

Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Classical hypergeometric functions, ({}_2F_1) (33C05) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Uses Software

• hypergeometricsols

Cites Work

• Unnamed Item
• Unnamed Item
• Constant term solution for an arbitrary number of osculating lattice paths
• The reciprocals of solutions of linear ordinary differential equations
• Walks, walls, wetting, and melting
• Lattice paths: Vicious walkers and friendly walkers
• Determinants of super-Schur functions, lattice paths, and dotted plane partitions
• Nonintersecting paths, pfaffians, and plane partitions
• Vicious walkers, friendly walkers, and Young tableaux. III: Between two walls
• Vicious walkers, friendly walkers and Young tableaux: II. With a wall
• Square lattice self-avoiding walks and biased differential approximants
• The perimeter generating functions of three-choice, imperfect, and one-punctured staircase polygons
• An exact solution of three interacting friendly walks in the bulk
• A collapse transition in a directed walk model
• Vicious walkers and Young tableaux I: without walls
• Exact enumeration of parallel walks on directed lattices