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Random fractal functional laws of the iterated logarithm. (English) Zbl 0916.60037

The authors establish random fractal versions of Chung-type functional laws of the iterated logarithm (FLIL) for the local osciliations of the Wiener process. In doing so they disclose a general scheme for evaluating the Hausdorff dimensions of a large variety of random fractals which arise from local FLIL. At the end they give other applications of the general scheme.
Reviewer: V.P.Gupta (Jaipur)

MSC:

60F17 Functional limit theorems; invariance principles
60F05 Central limit and other weak theorems
60F15 Strong limit theorems
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