2002/04/02 by Murray T. Batchelor, M. T. Batchelor, B. I. Henry · 14 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Diffusion and Search Dynamics #Exact solutions in general relativity #Geometry #Hexagonal lattice #Lattice (music) #Mathematical analysis #Mathematics #Physics #Point (geometry) #Random walk #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #msc:82B41 #msc:82C23
paper · pdf · doi:10.1088/0305-4470/35/29/301
published in Journal of Physics A Mathematical and General 35(29), 5951-5959 (Institute of Physics) · 10 pages, Latex, IOP macros
arxiv created 2002/04/02 · openalex publication_date 2002/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The problem of a random walk on a finite triangular lattice with a single interior source point and zig-zag absorbing boundaries is solved exactly. This problem has been previously considered intractable.