Notes on the two-dimensional fractional Brownian motion

Mathematics – Probability

Scientific paper

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Published at http://dx.doi.org/10.1214/009117905000000288 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117905000000288

We study the two-dimensional fractional Brownian motion with Hurst parameter
$H>{1/2}$. In particular, we show, using stochastic calculus, that this process
admits a skew-product decomposition and deduce from this representation some
asymptotic properties of the motion.

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