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Transportation inequalities for stochastic differential equations driven by a fractional Brownian motion
9 references·2 citing·31 second hop
Transportation inequalities for stochastic differential equations driven by a fractional Brownian motion (2012)Transportation inequalities for stochasti…Malliavin calculus for stochastic differential equations driven by a fractional Brownian motion (2008)Malliavin calculus for stocha…Differential Equations Driven by Hölder Continuous Functions of Order Greater than 1/2 (2007)Differential Equations Driven…A version of Hörmander’s theorem for the fractional Brownian motion (2007)A version of Hörmander’s theo…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…Ergodicity of stochastic differential equations driven by fractional Brownian motion (2005)Ergodicity of stochastic diff…Stochastic analysis, rough path analysis and fractional Brownian motions (2002)Stochastic analysis, rough pa…Differential equations driven by fractional Brownian motion (2002)Differential equations driven…Integration with respect to fractal functions and stochastic calculus. I (1998)Integration with respect to f…Differential equations driven by rough signals (1998)Differential equations driven…Fractional Poisson Process: Long-Range Dependence and Applications in Ruin Theory (2014)Fractional Poisson Process: L…Transportation Cost Inequalities for Neutral Functional Stochastic Equations (2013)Transportation Cost Inequalit…Fractional Brownian Motions, Fractional Noises and Applications (1968)Stochastic Analysis of the Fractional Brownian Motion (1999)Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion (2008)Fractional stochastic differential equations with applications to finance (2012)THE MALLIAVIN CALCULUS AND RELATED TOPICS (Probability and its Applications) (1997)Rough path analysis via fractional calculus (2008)A stochastic sewing lemma and applications (2018)Stochastic Differential Equations and Diffusion Processes (1983)Continuous Martingales and Brownian Motion (1999)Stochastic integration with respect to fractional brownian motion (2003)Brownian Motion and Stochastic Calculus (2007)Differential Equations Driven by Rough Paths (2007)Multiple Wiener Integral (1951)Integration questions related to fractional Brownian motion (2000)Long range dependence of point processes, with queueing examples (1997)Ruin Probabilities (2010)An application of fractional differential equations to risk theory (2019)The Malliavin Calculus and Related Topics (1995)Non-degeneracy of Wiener functionals arising from rough differential equations (2009)Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion (2011)The Jain–Monrad criterion for rough paths and applications to random Fourier series and non-Markovian Hörmander theory (2016)Stochastic Analysis (1997)Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions (2016)Applications of Malliavin calculus to Monte Carlo methods in finance (1999)Stochastic Calculus with Respect to Gaussian Processes (2001)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)Controlling rough paths (2004)Multidimensional Stochastic Processes as Rough Paths (2010)Operators associated with a stochastic differential equation driven by fractional Brownian motions (2006)Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths (2013)Averaging dynamics driven by fractional Brownian motion (2020)
this work references cited by second hop

References

  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 1998Differential equations driven by rough signals1,077 cited
  • 1998Integration with respect to fractal functions and stochastic calculus. I589 cited
  • 2002Differential equations driven by fractional Brownian motion408 cited
  • 2002Stochastic analysis, rough path analysis and fractional Brownian motions317 cited
  • 2005Ergodicity of stochastic differential equations driven by fractional Brownian motion130 cited
  • 2008Malliavin calculus for stochastic differential equations driven by a fractional Brownian motion109 cited
  • 2007Differential Equations Driven by Hölder Continuous Functions of Order Greater than 1/284 cited
  • 2007A version of Hörmander’s theorem for the fractional Brownian motion83 cited

Cited by

  • 2014Fractional Poisson Process: Long-Range Dependence and Applications in Ruin Theory64 cited
  • 2013Transportation Cost Inequalities for Neutral Functional Stochastic Equations29 cited

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