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

Abstract

We show that the structure of the quantum group $s{u}_q(2)$ 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.

7 pages, 3 figures

Cited by in corpus (2)

• Exact analytical expression for magnetoresistance using quantum groups
• Quantum corrections to conductivity for semiconductors with various structures