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Wong-Zakai type approximations for stochastic differential equations driven by a fractional Brownian motion - MaRDI portal

Wong-Zakai type approximations for stochastic differential equations driven by a fractional Brownian motion (Q1016434)

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scientific article; zbMATH DE number 5550892
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Wong-Zakai type approximations for stochastic differential equations driven by a fractional Brownian motion
scientific article; zbMATH DE number 5550892

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    Wong-Zakai type approximations for stochastic differential equations driven by a fractional Brownian motion (English)
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    5 May 2009
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    Summary: We consider Wong-Zakai type approximations for a class of Itô-Volterra equations related to the fractional Brownian motion. The quadratic mean convergence, uniformly on compact time intervals, of the approximations to the solution of an Itô-Volterra equation with a modified drift is obtained.
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    fractional Brownian motion
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    Itô-Volterra equations
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    quadratic mean convergence
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    Wong-Zakai approximations
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