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Necessary and sufficient conditions for the Strassen law of the iterated logarithm in nonuniform topologies. (English) Zbl 0840.60027

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 \(\mathbb{C} [0,1]\).

MSC:

60F10 Large deviations
60F15 Strong limit theorems
60F17 Functional limit theorems; invariance principles
60G15 Gaussian processes
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