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Zbl 1115.60044
Ortigueira, Manuel Duarte; Batista, Arnaldo GuimarĂ£es
A fractional linear system view of the fractional Brownian motion.
(English)
[J] Nonlinear Dyn. 38, No. 1-4, 295-303 (2004). ISSN 0924-090X; ISSN 1573-269X/e

Authors' abstract: A definition of the fractional Brownian motion based on the fractional differintegrator characteristics is proposed and studied. It is shown that the model enjoys the usually required properties. A discrete-time version based in the backward difference and in the bilinear transformation is considered. Some results are presented.
[Monique Pontier (Toulouse)]
MSC 2000:
*60G15 Gaussian processes
60G18 Self-similar processes
60J65 Brownian motion

Keywords: discrete time fractional Brownian motion; aggregation variance method; fractional differintegration

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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