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Malliavin calculus for stochastic differential equations driven by a fractional Brownian motion
13 references·16 citing·27 second hop
Malliavin calculus for stochastic differential equations driven by a fractional Brownian motion (2008)Malliavin calculus for stochastic differe…Densities for rough differential equations under Hörmander’s condition (2010)Densities for rough different…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…Stochastic integration with respect to fractional brownian motion (2003)Stochastic integration with r…Stochastic integration with respect to fractional Brownian motion and applications (2003)Stochastic integration with r…System Control and Rough Paths (2002)System Control and Rough PathsStochastic analysis, rough path analysis and fractional Brownian motions (2002)Stochastic analysis, rough pa…Differential equations driven by fractional Brownian motion (2002)Differential equations driven…Stochastic Analysis of the Fractional Brownian Motion (1999)Stochastic Analysis of the Fr…Integration with respect to fractal functions and stochastic calculus. 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Theory (2000)FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE (2003)Stein’s method on Wiener chaos (2008)On bifractional Brownian motion (2005)Functional Itô calculus and stochastic integral representation of martingales (2013)
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References

  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 1998Differential equations driven by rough signals1,077 cited
  • 1997Stochastic Analysis1,035 cited
  • 1999Stochastic Analysis of the Fractional Brownian Motion744 cited
  • 1998Integration with respect to fractal functions and stochastic calculus. I589 cited
  • 2002System Control and Rough Paths519 cited
  • 2002Differential equations driven by fractional Brownian motion408 cited
  • 2002Stochastic analysis, rough path analysis and fractional Brownian motions317 cited
  • 1984Lectures on Stochastic Differential Equations and Malliavin Calculus271 cited
  • 2003Stochastic integration with respect to fractional brownian motion230 cited
  • 1994Differential equations driven by rough signals (I): an extension of an inequality of L. C. Young174 cited
  • 2010Densities for rough differential equations under Hörmander’s condition131 cited
  • 2003Stochastic integration with respect to fractional Brownian motion and applications121 cited

Cited by

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  • 2016Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions

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  • 2016Malliavin calculus for regularity structures: The case of gPAM44 cited
  • 2008A singular stochastic differential equation driven by fractional Brownian motion43 cited
  • 2016On probability laws of solutions to differential systems driven by a fractional Brownian motion41 cited
  • 2013Upper bounds for the density of solutions to stochastic differential equations driven by fractional Brownian motions35 cited
  • 2008Optimal pointwise approximation of stochastic differential equations driven by fractional Brownian motion34 cited
  • 2009Multilevel Monte Carlo for stochastic differential equations with additive fractional noise33 cited
  • 2014Evolving communities with individual preferences33 cited
  • 2011Malliavin Calculus for Fractional Delay Equations33 cited
  • 2010Small-time kernel expansion for solutions of stochastic differential equations driven by fractional Brownian motions27 cited
  • 2009Trees and asymptotic expansions for fractional stochastic differential equations26 cited