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Small-time versions of Strassen's law for Levy processes

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Maller, Ross

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London Mathematical Society

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We study aspects of the 'small-time' behaviour (as t ↓ 0) of a Lévy process X(t), obtaining a very general small-time version of Strassen's almost sure (a.s.) functional law of the iterated logarithm (LIL) for random walks. The class of Lévy processes

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Proceedings of the London Mathematical Society

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2037-12-31