Fractional Ornstein-Uhlenbeck processes.
Cheridito, Patrick, Kawaguchi, Hideyuki, Maejima, Makoto (2003)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Approximation of the fractional Brownian sheet VIA Ornstein-Uhlenbeck sheet”
Fractional Ornstein-Uhlenbeck processes.
Itô formula and local time for the fractional Brownian sheet.
Tudor, Ciprian A., Viens, Frederi G. (2003)
Electronic Journal of Probability [electronic only]
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Fractional Brownian motion and the Markov property.
Carmona, Philippe, Coutin, Laure (1998)
Electronic Communications in Probability [electronic only]
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Power variation of multiple fractional integrals
Constantin Tudor, Maria Tudor (2007)
Open Mathematics
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Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems.
Bojdecki, Tomasz, Gorostiza, Luis G., Talarczyk, Anna (2007)
Electronic Communications in Probability [electronic only]
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Smoothness of the law of the supremum of the fractional Brownian motion.
Lanjri Zadi, Noureddine, Nualart, David (2003)
Electronic Communications in Probability [electronic only]
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Spherical and hyperbolic fractional Brownian motion.
Istas, Jacques (2005)
Electronic Communications in Probability [electronic only]
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A Milstein-type scheme without Lévy area terms for SDEs driven by fractional brownian motion
A. Deya, A. Neuenkirch, S. Tindel (2012)
Annales de l'I.H.P. Probabilités et statistiques
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In this article, we study the numerical approximation of stochastic differential equations driven by a multidimensional fractional Brownian motion (fBm) with Hurst parameter greater than 1/3. We introduce an implementable scheme for these equations, which is based on a second-order Taylor expansion, where the usual Lévy area terms are replaced by products of increments of the driving fBm. The convergence of our scheme is shown by means of a combination of rough paths techniques and error...
On the mixed fractional Brownian motion.
Zili, Mounir (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Differential equations driven by fractional Brownian motion.
David Nualart, Aurel Rascanu (2002)
Collectanea Mathematica
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A global existence and uniqueness result of the solution for multidimensional, time dependent, stochastic differential equations driven by a fractional Brownian motion with Hurst parameter H > 1/2 is proved. It is shown, also, that the solution has finite moments. The result is based on a deterministic existence and uniqueness theorem whose proof uses a contraction principle and a priori estimates.
On the small deviation problem for some iterated processes.
Aurzada, Frank, Lifshits, Mikhail (2009)
Electronic Journal of Probability [electronic only]
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Self-similarity and fractional Brownian motion on Lie groups.
Baudoin, Fabrice, Coutin, Laure (2008)
Electronic Journal of Probability [electronic only]
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A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand.
Mueller, Carl E., Wu, Zhixin (2009)
Electronic Communications in Probability [electronic only]
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