Deheuvels, Paul; Lifshits, Mikhail A. Necessary and sufficient conditions for the Strassen law of the iterated logarithm in nonuniform topologies. (English) Zbl 0840.60027 Ann. Probab. 22, No. 4, 1838-1856 (1994). Necessary and sufficient conditions for the Strassen functional law of the iterated logarithm for the Wiener process are given. The topology on the space of all continuous functions on \([0,1]\) is generated by a measurable norm on \(\mathbb{C} [0,1]\). Reviewer: S.Ebralidze (Tbilisi) Cited in 2 Documents MSC: 60F10 Large deviations 60F15 Strong limit theorems 60F17 Functional limit theorems; invariance principles 60G15 Gaussian processes Keywords:Wiener process; laws of the iterated logarithm PDFBibTeX XMLCite \textit{P. Deheuvels} and \textit{M. A. Lifshits}, Ann. Probab. 22, No. 4, 1838--1856 (1994; Zbl 0840.60027) Full Text: DOI