Mathematics – Probability
Scientific paper
2006-02-24
Annals of Probability 2006, Vol. 34, No. 1, 159-180
Mathematics
Probability
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.
Baudoin Fabrice
Nualart David
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