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On the Link Between Fractional and Stochastic Calculus
13 references·3 citing·32 second hop
On the Link Between Fractional and Stochastic Calculus (2007)On the Link Between Fractional and Stocha…The Malliavin Calculus and Related Topics (2006)The Malliavin Calculus and Re…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…The Malliavin Calculus and Related Topics (1995)The Malliavin Calculus and Re…The generalized covariation process and Ito formula (1995)The generalized covariation p…Stochastic analysis of fractional brownian motions (1995)Stochastic analysis of fracti…Differential equations driven by rough signals (I): an extension of an inequality of L. C. Young (1994)Differential equations driven…Forward, backward and symmetric stochastic integration (1993)Forward, backward and symmetr…Stochastic calculus with anticipating integrands (1988)Stochastic calculus with anti…Stochastic Differential Equations and Diffusion Processes (1983)Stochastic Differential Equat…Calcul d'ito sans probabilites (1981)Calcul d'ito sans probabilitesOn the Gap Between Deterministic and Stochastic Ordinary Differential Equations (1978)On the Gap Between Determinis…Liens entre équations différentielles stochastiques et ordinaires (1977)Liens entre équations différe…On drift parameter estimation in models with fractional Brownian motion (2014)On drift parameter estimation…Itô's formula for C 1,λ -functions of a càdlàg process and related calculus (2002)Itô's formula for C 1,λ -func…Generalized Integration and Stochastic ODEs (2002)Generalized Integration and S…Convergence en loi des suites d'intégrales stochastiques sur l'espace $$\mathbb{D}$$ 1 de Skorokhod (1989)Un Cours sur les Intégrales Stochastiques (2002)Ambiguous Volatility and Asset Pricing in Continuous Time (2013)Functional Itô calculus and stochastic integral representation of martingales (2013)Calcul Stochastique et Problèmes de Martingales (1979)Continuous Martingales and Brownian Motion (1991)Continuous Martingales and Brownian Motion (1999)Stochastic integration with respect to fractional brownian motion (2003)Stochastic integration with respect to the fractional Brownian motion (2003)Analysis of the Rosenblatt process (2008)Multiple Wiener Integral (1951)Fractional Brownian Motions, Fractional Noises and Applications (1968)Integration questions related to fractional Brownian motion (2000)Differential equations driven by fractional Brownian motion (2002)Stochastic calculus of variations and hypoelliptic operators (1978)A generalized clark representation formula, with application to optimal portfolios (1991)Backward doubly stochastic differential equations and systems of quasilinear SPDEs (1994)A New Representation for Stochastic Integrals and Equations (1966)Optimal Control for Partially Observed Diffusions (1982)Discretization and simulation of stochastic differential equations (1985)Stochastic Differential Equations (1992)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)Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)Backward Stochastic Differential Equations in Finance (1997)Controlled Markov Processes and Viscosity Solutions (2005)Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE (2003)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Central limit theorems for sequences of multiple stochastic integrals (2005)Fast strong approximation Monte Carlo schemes for stochastic volatility models (2006)
this work references cited by second hop

References

  • 1983Stochastic Differential Equations and Diffusion Processes3,836 cited
  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 1995The Malliavin Calculus and Related Topics1,545 cited
  • 1999Stochastic Analysis of the Fractional Brownian Motion744 cited
  • 1998Integration with respect to fractal functions and stochastic calculus. I589 cited
  • 1988Stochastic calculus with anticipating integrands496 cited
  • 1978On the Gap Between Deterministic and Stochastic Ordinary Differential Equations382 cited
  • 1993Forward, backward and symmetric stochastic integration318 cited
  • 1981Calcul d'ito sans probabilites247 cited
  • 1977Liens entre équations différentielles stochastiques et ordinaires225 cited
  • 1995Stochastic analysis of fractional brownian motions207 cited
  • 1994Differential equations driven by rough signals (I): an extension of an inequality of L. C. Young174 cited
  • 1995The generalized covariation process and Ito formula136 cited

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  • 2014On drift parameter estimation in models with fractional Brownian motion51 cited
  • 2002Generalized Integration and Stochastic ODEs38 cited

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  • 2002Itô's formula for C 1,λ -functions of a càdlàg process and related calculus34 cited