arXiv:cond-mat/0701674 Abstract

arXiv:cond-mat/0701674Abstract References Reviews Resources

Two Dimensional Directed Lattice Walks with Boundaries

Published 2007-01-26, updated 2007-03-25Version 2

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.

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

Categories: cond-mat.stat-mech, math.CO

Keywords: dimensional directed lattice walks, boundaries, general algorithms, general set, square lattice

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