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Delay equations driven by rough paths
15 references·12 citing·30 second hop
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this work references cited by second hop

References

  • 1998Differential equations driven by rough signals1,077 cited
  • 1998Integration with respect to fractal functions and stochastic calculus. I589 cited
  • 2004Controlling rough paths578 cited
  • 2002System Control and Rough Paths519 cited
  • 2002Differential equations driven by fractional Brownian motion408 cited
  • 1993Forward, backward and symmetric stochastic integration318 cited
  • 2002Stochastic analysis, rough path analysis and fractional Brownian motions317 cited
  • 2003Stochastic integration with respect to fractional brownian motion230 cited
  • 2003Stochastic integration with respect to the fractional Brownian motion228 cited
  • 2005Stochastic integral of divergence type with respect to fractional Brownian motion with Hurst parameter H∈(0,12)133 cited
  • 2003Stochastic integration with respect to fractional Brownian motion and applications121 cited
  • 2006Rough evolution equations120 cited
  • 2010Rough evolution equations102 cited
  • 2003An Introduction to Rough Paths102 cited
  • 2006Curvilinear Integrals Along Enriched Paths97 cited

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2011
Non-linear rough heat equations
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  • 2012A Milstein-type scheme without Lévy area terms for SDEs driven by fractional Brownian motion55 cited
  • 20130 A MILSTEIN-TYPE SCHEME WITHOUT LEVY AREA TERMS FOR SDES DRIVEN BY FRACTIONAL BROWNIAN MOTION48 cited
  • 2011A construction of the rough path above fractional Brownian motion using Volterra’s representation37 cited
  • 2011Malliavin Calculus for Fractional Delay Equations33 cited
  • 2015Mixed stochastic delay differential equations29 cited
  • 2009Trees and asymptotic expansions for fractional stochastic differential equations26 cited
  • 2009Discretizing the fractional Lévy area26 cited
  • 2018One-dimensional reflected rough differential equations22 cited
  • 2011Rough Volterra equations 2: Convolutional generalized integrals21 cited
  • 2013Stochastic differential equations with non-negativity constraints driven by fractional Brownian motion21 cited
  • 2012Stochastic delay equations with non-negativity constraints driven by fractional Brownian motion19 cited