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The Number of Distinct Sites Visited in a Random Walk on a Lattice

✍ Scribed by Vineyard, George H.


Book ID
115540067
Publisher
American Institute of Physics
Year
1963
Tongue
English
Weight
577 KB
Volume
4
Category
Article
ISSN
0022-2488

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On the number of distinct sites visited
✍ M. D. Donsker; S. R. S. Varadhan πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 727 KB

In the expression for a(?), M is a symmetric measure on the unit ball means that the support of M spans &. Let {rjl} be the n-step transition probabilities. It follows from hypotheses (i) and (ii) above that for any j e Z d there exists an no such that .rrYu>O. Moreover, from hypothesis (ii) it fol