Directed Random Walks on Colored, Periodic Lattices: A Gauge Theoretic Approach

Details Directed Random Walks on Colored, Periodic Lattices: A Gauge Theoretic Approach Directed Random Walks on Colored, Periodic Lattices: A Gauge Theoretic Approach

2011-12-30

arxiv.org/abs/1201.0116v1

Physics

Condensed Matter

Statistical Mechanics

1 + 9 pages, 6 eps figures

Scientific paper

We define a random walk problem which admits analytic results, on a class of
infinite periodic lattices which are directed and colored. Our approach is
motivated from the fact that such lattices arise in string theoretic constructs
of certain gauge theories. An operator counting problem in the latter is mapped
to a problem in random walks. This is illustrated with several examples.

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