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A Law of the Iterated Logarithm for Fractional Brownian Motions

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Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1934))

Abstract

We show that for a class of Gaussian processes indexed by one dimensional time, the local times obey the behavior conjectured by Xiao.

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Baraka, D., Mountford, T. (2008). A Law of the Iterated Logarithm for Fractional Brownian Motions. In: Donati-Martin, C., Émery, M., Rouault, A., Stricker, C. (eds) Séminaire de Probabilités XLI. Lecture Notes in Mathematics, vol 1934. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77913-1_7

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