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

S. A. Alavi·M. Sarbishaei
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Abstract

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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S. A. Alavi, M. Sarbishaei. 2003-03-28. An appropriate candidate for exact distribution of closed random walks using quantum groups. https://doi.org/10.1016/s0375-9601(02)00666-7

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