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- W2057552079 abstract "In this paper we prove the following statement. Given a random walk $$S_n = sumlimits_{j = 1}^n {varepsilon _j }$$ ,n=1, 2, ... whereɛ 1,ɛ 2 ... are i.i.d. random variables, $$Pleft( {varepsilon _j = 1} right) = Pleft( {varepsilon _j = - 1} right) = tfrac{1}{2}$$ let α(n) denote the number of points visited exactly once by this random walk up to timen. We show that there exists some constantC, 0 <C < ∞, such that $$mathop {lim sup }limits_{n to infty } frac{{alpha (n)}}{{log ^2 n}} = C$$ with probability 1. The proof applies some arguments analogous to the techniques of the large deviation theory." @default.
- W2057552079 created "2016-06-24" @default.
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- W2057552079 date "1988-03-01" @default.
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- W2057552079 title "On the set visited once by a random walk" @default.
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- W2057552079 doi "https://doi.org/10.1007/bf01848134" @default.
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