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Number of distinct sites visited by a random walk with internal states

✍ Scribed by Péter Nándori


Publisher
Springer
Year
2010
Tongue
English
Weight
303 KB
Volume
150
Category
Article
ISSN
1432-2064

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On the number of distinct sites visited
✍ 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