Deheuvels, P.; Mason, D. M. Random fractal functional laws of the iterated logarithm. (English) Zbl 0916.60037 Stud. Sci. Math. Hung. 34, No. 1-3, 89-106 (1998). 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) Cited in 1 ReviewCited in 8 Documents MSC: 60F17 Functional limit theorems; invariance principles 60F05 Central limit and other weak theorems 60F15 Strong limit theorems Keywords:empirical processes; fractals; strong laws; functional laws of the iterated logarithm; Wiener process; Brownian motion; Hausdorff dimension PDFBibTeX XMLCite \textit{P. Deheuvels} and \textit{D. M. Mason}, Stud. Sci. Math. Hung. 34, No. 1--3, 89--106 (1998; Zbl 0916.60037)