The average number of distinct sites visited by a one-dimensional random walker and its application to isotope exchange in polypeptides.

Abstract

The average number of distinct sites visited by a random walker moving with arbitrary transition probability on a one-dimensional lattice is calculated. Asymptotic forms of this quantity for both asymmetric and symmetric random walks are determined, and an exact solution for the latter case is also given for any number of steps. The average number of sites… (More)

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