Lattice Walks in the Octant with Infinite Associated Groups

2017/03/15 by Manuel Kauers, Kauers, Manuel, Ronghua Wang +2
Mathematics · #05A15 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Stochastic processes and statistical mechanics #math.CO #msc:05A15

paper · pdf · doi:10.48550/arxiv.1703.05057

5 pages

arxiv created 2017/03/15 · openalex publication_date 2017/03/15 · arxiv updated 2017/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Continuing earlier investigations of restricted lattice walks in ℕ³, we take a closer look at the models with infinite associated groups. We find that up to isomorphism, only 12 different infinite groups appear, and we establish a connection between the group of a model and the model being Hadamard.

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