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Multiplicative functions and stochastic processes. (English) Zbl 0926.11057

Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 2nd international conference in honour of J. Kubilius, Palanga, Lithuania, September 23–27, 1996. Utrecht: VSP. New Trends Probab. Stat. 4, 271-282 (1997).
Arithmetic models involving multiplicative functions with shifted arguments are constructed and the weak convergence of the corresponding measures in the space \(D[0,1]\) (of all right continuous functions defined on \([0,1]\), having left-hand limits at each point) endowed with the Skorokhod topology is investigated.
For the entire collection see [Zbl 0896.00021].

MSC:

11K65 Arithmetic functions in probabilistic number theory
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