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Applications of the Malliavin calculus. II
0 references·16 citing·48 second hop
Applications of the Malliavin calculus. II (1985)Applications of the Malliavin calculus. IIApproximation of Expectation of Diffusion Process and Mathematical Finance (2018)Approximation of Expectation …Smoothing properties of McKean–Vlasov SDEs (2017)Smoothing properties of McKea…Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths (2013)Regularity of laws and ergodi…Solving Backward Stochastic Differential Equations Using the Cubature Method: Application to Nonlinear Pricing (2012)Solving Backward Stochastic D…On Malliavinʼs proof of Hörmanderʼs theorem (2011)On Malliavinʼs proof of Hörma…Density estimates for a random noise propagating through a chain of differential equations (2010)Density estimates for a rando…Densities for rough differential equations under Hörmander’s condition (2010)Densities for rough different…Density Formula and Concentration Inequalities with Malliavin Calculus (2009)Density Formula and Concentra…A version of Hörmander’s theorem for the fractional Brownian motion (2007)A version of Hörmander’s theo…Sensitivity Analysis Using Itô--Malliavin Calculus and Martingales, and Application to Stochastic Optimal Control (2005)Sensitivity Analysis Using It…A QUANTIZATION TREE METHOD FOR PRICING AND HEDGING MULTIDIMENSIONAL AMERICAN OPTIONS (2005)A QUANTIZATION TREE METHOD FO…Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus (2004)Approximation of expectation …Weak approximation of killed diffusion using Euler schemes (2000)Weak approximation of killed …An Asymptotic Expansion Approach to Pricing Financial Contingent Claims (1999)An Asymptotic Expansion Appro…Random non-linear wave equations: Smoothness of the solutions (1988)Random non-linear wave equati…Malliavin's calculus and stochastic integral representations of functional of diffusion processes† (1984)Malliavin's calculus and stoc…Stochastic Differential Equations and Diffusion Processes (1983)Lectures on Stochastic Differential Equations and Malliavin Calculus (1984)Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims (2001)On validity of the asymptotic expansion approach in contingent claim analysis (2003)An Asymptotic Expansion with Push-Down of Malliavin Weights (2012)The Malliavin Calculus and Related Topics (1995)Continuous Martingales and Brownian Motion (1999)The Malliavin Calculus and Related Topics (2006)Loss of regularity for Kolmogorov equations (2015)Hörmander’s theorem for semilinear SPDEs (2019)Controlled Markov Processes and Viscosity Solutions (2005)On Some non Asymptotic Bounds for the Euler Scheme (2010)Parametrix techniques and martingale problems for some degenerate Kolmogorov equations (2011)Global solvability of a networked integrate-and-fire model of McKean–Vlasov type (2015)Stochastic calculus of variations and hypoelliptic operators (1978)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)Applications of the Malliavin Calculus, Part I (1984)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)Malliavin calculus for stochastic differential equations driven by a fractional Brownian motion (2008)Differential equations driven by Gaussian signals (2010)Smoothness of the density for solutions to Gaussian rough differential equations (2014)Stochastic Differential Equations and Applications (1976)Stochastic differential equations and applications (1977)Variance Reduction for Simulated Diffusions (1994)Adapted solution of a degenerate backward spde, with applications (1997)Equilibrium Positive Interest Rates: A Unified View (2001)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)A forward–backward stochastic algorithm for quasi-linear PDEs (2006)Stochastic differential equations and applications (2008)Monte-Carlo Valuation of American Options: Facts and New Algorithms to Improve Existing Methods (2012)Deep optimal stopping (2018)Euler schemes and half-space approximation for the simulation of diffusion in a domain (2001)A symmetrized Euler scheme for an efficient approximation of reflected diffusions (2004)Brownian Motion and Stochastic Calculus (2007)Stochastic Integration and Differential Equations (2005)Numerical Methods for the Pricing of Swing Options: A Stochastic Control Approach (2006)Smart expansion and fast calibration for jump diffusions (2009)Numerical solution of stochastic differential equations (2016)Convergence analysis of machine learning algorithms for the numerical solution of mean field control and games: II—the finite horizon case (2022)
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  • 2005A QUANTIZATION TREE METHOD FOR PRICING AND HEDGING MULTIDIMENSIONAL AMERICAN OPTIONS192 cited
  • 2000Weak approximation of killed diffusion using Euler schemes188 cited
  • 1984Malliavin's calculus and stochastic integral representations of functional of diffusion processes†153 cited
  • 1999An Asymptotic Expansion Approach to Pricing Financial Contingent Claims141 cited
  • 2010Densities for rough differential equations under Hörmander’s condition131 cited
  • 2010Density estimates for a random noise propagating through a chain of differential equations130 cited
  • 1988Random non-linear wave equations: Smoothness of the solutions114 cited
  • 2009Density Formula and Concentration Inequalities with Malliavin Calculus110 cited
  • 2011On Malliavinʼs proof of Hörmanderʼs theorem99 cited
  • 2005Sensitivity Analysis Using Itô--Malliavin Calculus and Martingales, and Application to Stochastic Optimal Control93 cited
  • 2004Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus90 cited
  • 2018Approximation of Expectation of Diffusion Process and Mathematical Finance90 cited
  • 2013Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths88 cited
  • 2012

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Solving Backward Stochastic Differential Equations Using the Cubature Method: Application to Nonlinear Pricing
84 cited
  • 2007A version of Hörmander’s theorem for the fractional Brownian motion83 cited
  • 2017Smoothing properties of McKean–Vlasov SDEs75 cited