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MR791100 60B12
Ledoux, Michel La loi du logarithme itéré dans les espaces de Banach uniformément convexes. (French) [The law of the iterated logarithm in uniformly convex Banach spaces] C. R. Acad. Sci. Paris Sér. I Math. 300 (1985), no. 17, 613–616.
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