Two Dimensional Directed Lattice Walks with Boundaries

Arvind Ayyer; Doron Zeilberger

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arXiv · cond-mat/0701674

Two Dimensional Directed Lattice Walks with Boundaries

Arvind Ayyer·Doron Zeilberger

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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.

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Arvind Ayyer, Doron Zeilberger. 2007-03-25. Two Dimensional Directed Lattice Walks with Boundaries. https://arxiv.org/abs/cond-mat/0701674

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