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Applications of the Malliavin Calculus, Part I
2 references·16 citing·36 second hop
Applications of the Malliavin Calculus, Part I (1984)Applications of the Malliavin Calculus, P…MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)MULTI-DIMENSIONAL DIFFUSION P…Stochastic calculus of variations and hypoelliptic operators (1978)Stochastic calculus of variat…Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths (2013)Regularity of laws and ergodi…Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion (2011)Ergodicity of hypoelliptic SD…Non-degeneracy of Wiener functionals arising from rough differential equations (2009)Non-degeneracy of Wiener func…Density Formula and Concentration Inequalities with Malliavin Calculus (2009)Density Formula and Concentra…Sharp estimates for the convergence of the density of the Euler scheme in small time (2008)Sharp estimates for the conve…A version of Hörmander’s theorem for the fractional Brownian motion (2007)A version of Hörmander’s theo…Functional quantization of a class of Brownian diffusions: A constructive approach (2005)Functional quantization of a …Euler scheme and tempered distributions (2005)Euler scheme and tempered dis…On validity of the asymptotic expansion approach in contingent claim analysis (2003)On validity of the asymptotic…The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims (2001)The Asymptotic Expansion Appr…An Asymptotic Expansion Approach to Pricing Financial Contingent Claims (1999)An Asymptotic Expansion Appro…Differentiable measures and the Malliavin calculus (1997)Differentiable measures and t…Probabilistic numerical methods for partial differential equations: Elements of analysis (1996)Probabilistic numerical metho…Asymptotic expansions of maximum likelihood estimators for small diffusions via the theory of Malliavin-Watanabe (1992)Asymptotic expansions of maxi…Random non-linear wave equations: Smoothness of the solutions (1988)Random non-linear wave equati…Methods de laplace et de la phase stationnaire sur l'espace de wiener (1988)Methods de laplace et de la p…Stochastic Differential Equations and Diffusion Processes (1983)Applications of the Malliavin calculus. II (1985)Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)An Asymptotic Expansion with Push-Down of Malliavin Weights (2012)Dynamic Asset Pricing Theory. (1993)Small-diffusion asymptotics for discretely sampled stochastic differential equations (2003)Maximum-likelihood estimation for diffusion processes via closed-form density expansions (2013)Analysis of Wiener Functionals (Malliavin Calculus) and its Applications to Heat Kernels (1987)Propriété LAN pour les diffusions ergodiques avec observations discrètes (2002)Malliavin Calculus for White Noise Driven Parabolic SPDEs (1998)Some Non-Linear S.P.D.E's That Are Second Order In Time (2003)An introduction to stochastic partial differential equations (2006)Existence and Smoothness of the Density for Spatially Homogeneous SPDEs (2007)The Malliavin Calculus and Related Topics (2006)Stein’s method on Wiener chaos (2008)Cumulants on the Wiener space (2009)Stein’s method for invariant measures of diffusions via Malliavin calculus (2012)The optimal fourth moment theorem (2015)Fractional Brownian Motions, Fractional Noises and Applications (1968)Differential equations driven by rough signals (1998)Integrability and tail estimates for Gaussian rough differential equations (2013)Rough paths, Signatures and the modelling of functions on streams (2014)From Rough Path Estimates to Multilevel Monte Carlo (2016)Some Asymptotic Formulas for Wiener Integrals (1966)Large Deviations and the Malliavin Calculus (1984)Lectures on Stochastic Differential Equations and Malliavin Calculus (1984)Precise asymptotics of certain Wiener functionals (1991)Short-time near-the-money skew in rough fractional volatility models (2018)An Asymptotic Expansion Scheme for Optimal Investment Problems (2004)Short-time at-the-money skew and rough fractional volatility (2016)ARCH models as diffusion approximations (1990)Chapter 49 Arch models (1994)5 Stochastic volatility (1996)Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions (1981)Stochastic calculus with anticipating integrands (1988)Functional Itô calculus and stochastic integral representation of martingales (2013)
this work references cited by second hop

References

  • 1980MULTI-DIMENSIONAL DIFFUSION PROCESSES1,243 cited
  • 1978Stochastic calculus of variations and hypoelliptic operators524 cited

Cited by

  • 1999An Asymptotic Expansion Approach to Pricing Financial Contingent Claims141 cited
  • 2001The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims135 cited
  • 1992Asymptotic expansions of maximum likelihood estimators for small diffusions via the theory of Malliavin-Watanabe123 cited
  • 2003On validity of the asymptotic expansion approach in contingent claim analysis119 cited
  • 1988Random non-linear wave equations: Smoothness of the solutions114 cited
  • 2009Density Formula and Concentration Inequalities with Malliavin Calculus110 cited
  • 2013Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths88 cited
  • 1988Methods de laplace et de la phase stationnaire sur l'espace de wiener86 cited
  • 2007A version of Hörmander’s theorem for the fractional Brownian motion83 cited
  • 1996Probabilistic numerical methods for partial differential equations: Elements of analysis70 cited
  • 2011Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion68 cited
  • 2005Euler scheme and tempered distributions57 cited

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  • 1997Differentiable measures and the Malliavin calculus54 cited
  • 2009Non-degeneracy of Wiener functionals arising from rough differential equations52 cited
  • 2005Functional quantization of a class of Brownian diffusions: A constructive approach46 cited
  • 2008Sharp estimates for the convergence of the density of the Euler scheme in small time45 cited