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Название: A simple calculation for the average number of steps to trapping in lattice random walks
Авторы: Kurt E. Shuler, Howard Silver, Katja Lindenberg
We show that the asymptotic results for the average number of steps to trapping at an irreversible trapping site on aD-dimensional finite lattice can be obtained from the generating function for random walks on aninfinite perfect lattice. This introduces a significant simplification into such calculations. An interesting corollary of these calculations is the conclusion that a random walker traverses, on the average, all the distinct nontrapping lattice sites before arriving on the trapping site.