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MR2413271 (2009k:60074) 60F17 (60G51)
Buchmann, Boris; Maller, Ross; Szimayer, Alex An almost sure functional limit theorem at zero for a class of Lévy processes normed by the square root function, and applications. Probab. Theory Related Fields 142 (2008), no. 1-2, 219–247.
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