paper

Two Dimensional Directed Lattice Walks with Boundaries

arXiv:cond-mat/0701674

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.

29 pages, 10 figures, some references added. Some physical results stated more clearly