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A singular stochastic differential equation driven by fractional Brownian motion
11 references·3 citing·32 second hop
A singular stochastic differential equation driven by fractional Brownian motion (2008)A singular stochastic differential equati…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…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…Regularization of differential equations by fractional noise (2002)Regularization of differentia…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. I (1998)Integration with respect to f…Differential equations driven by rough signals (1998)Differential equations driven…Differential equations driven by rough signals (I): an extension of an inequality of L. C. Young (1994)Differential equations driven…Dirichlet Forms and Analysis on Wiener Space (1991)Dirichlet Forms and Analysis …A Theory of the Term Structure of Interest Rates (1985)A Theory of the Term Structur…Stochastic differential equations driven by fractional Brownian motion with locally Lipschitz drift and their implicit Euler approximation (2020)Stochastic differential equat…Optimal strong convergence rate of a backward Euler type scheme for the Cox–Ingersoll–Ross model driven by fractional Brownian motion (2019)Optimal strong convergence ra…Mixed fractional Heston model and the pricing of American options (2017)Mixed fractional Heston model…Fractional Brownian Motions, Fractional Noises and Applications (1968)Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion (2008)Fractional stochastic differential equations with applications to finance (2012)On stochastic differential equations (1951)Stochastic Integration and $L^p$-Theory of Semimartingales (1981)Ergodicity of stochastic differential equations driven by fractional Brownian motion (2005)Multiple Wiener Integral (1951)Integration questions related to fractional Brownian motion (2000)Stochastic Differential Equations and Applications (1976)2005): Statistical Aspects of the fractional stochastic calculus (2005)Statistical aspects of the fractional stochastic calculus (2007)Averaging along irregular curves and regularisation of ODEs (2016)Stochastic Analysis (1997)Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion (2011)Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths (2013)Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions (2016)Optimum consumption and portfolio rules in a continuous-time model (1971)An equilibrium characterization of the term structure (1977)Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Dynamic Asset Pricing Theory. (1993)Theory of rational option pricing (2005)Forward, backward and symmetric stochastic integration (1993)A theoretical framework for the pricing of contingent claims in the presence of model uncertainty (2006)NO ARBITRAGE UNDER TRANSACTION COSTS, WITH FRACTIONAL BROWNIAN MOTION AND BEYOND (2006)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)Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE (2003)
this work references cited by second hop

References

  • 1985A Theory of the Term Structure of Interest Rates8,333 cited
  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 1998Differential equations driven by rough signals1,077 cited
  • 1999Stochastic Analysis of the Fractional Brownian Motion744 cited
  • 1998Integration with respect to fractal functions and stochastic calculus. I589 cited
  • 1991Dirichlet Forms and Analysis on Wiener Space541 cited
  • 2002Differential equations driven by fractional Brownian motion408 cited
  • 1994Differential equations driven by rough signals (I): an extension of an inequality of L. C. Young174 cited
  • 2002Regularization of differential equations by fractional noise170 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

Cited by

  • 2019Optimal strong convergence rate of a backward Euler type scheme for the Cox–Ingersoll–Ross model driven by fractional Brownian motion37 cited
  • 2017Mixed fractional Heston model and the pricing of American options36 cited
  • 2020Stochastic differential equations driven by fractional Brownian motion with locally Lipschitz drift and their implicit Euler approximation

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25 cited