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Some recent variations on the expected number of distinct sites visited by an n-step random walk

✍ Scribed by George H. Weiss; Ido Dayan; Shlomo Havlin; James E. Kiefer; Hernan Larralde; H.Eugene Stanley; Paul Trunfio

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 718 KB
Volume: 191
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(92)90572-8

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✍ M. D. Donsker; S. R. S. Varadhan 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 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