Two Dimensional Directed Lattice Walks with Boundaries
Statistical Mechanics
2020-06-16 v2 Combinatorics
Abstract
We present general algorithms (fully implemented in Maple) for calculations of various quantities related to constrained directed walks for a general set of steps on the square lattice in two dimensions. As a special case, we rederive results of earlier works.
Keywords
Cite
@article{arxiv.cond-mat/0701674,
title = {Two Dimensional Directed Lattice Walks with Boundaries},
author = {Arvind Ayyer and Doron Zeilberger},
journal= {arXiv preprint arXiv:cond-mat/0701674},
year = {2020}
}
Comments
29 pages, 10 figures, some references added. Some physical results stated more clearly