On the number of distinct sites visited by a random walk. (English) Zbl 0418.60074


60G50 Sums of independent random variables; random walks
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
60F05 Central limit and other weak theorems
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[1] Donsker, Comm. Pure Appl. Math. 28 pp 525– (1975)
[2] Donsker, I, Comm. Pure Appl. Math. 28 pp 1– (1975)
[3] Varadhan, Comm. Pure Appl. Math. 19 pp 261– (1966)
[4] and , Asymptotic evaluation of certain Weiener integrals for large time, Functional Integration and Its Applications, Proceedings of the International Conference, London; Clarendon Press, Oxford, 1975, pp. 15–33.
[5] Donsker, Comm. Pure Appl. Math. 29 pp 389– (1976)
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