An appropriate candidate for exact distribution of closed random walks using quantum groups

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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7 pages, 3 figures

Scientific paper

We show that the structure of the quantum group $su_{q}(2)$ is intimately
related to the random walks on a two dimentional lattice. Using this connection
we obtain an appropriate candidate for the exact area distribution of closed
random walks of length $N$ on a two dimensional square lattice. We compare our
results with exact enumeration.

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