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Euler schemes and large deviations for stochastic Volterra equations with singular kernels
4 references·4 citing·25 second hop
Euler schemes and large deviations for stochastic Volterra equations with singular kernels (2008)Euler schemes and large deviations for st…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…A variational representation for certain functionals of Brownian motion (1998)A variational representation …Stochastic Differential Equations and Diffusion Processes (1983)Stochastic Differential Equat…Large and moderate deviations for stochastic Volterra systems (2022)Large and moderate deviations…Lévy-driven stochastic Volterra integral equations with doubly singular kernels: existence, uniqueness, and a fast EM method (2020)Lévy-driven stochastic Volter…Large Deviation Principle for Volterra Type Fractional Stochastic Volatility Models (2018)Large Deviation Principle for…Large deviations for neutral functional SDEs with jumps (2014)Large deviations for neutral …ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS (1981)Brownian Motion and Stochastic Calculus (2007)Rare Event Simulation of Small Noise Diffusions (2012)Large Deviation Principles of Obstacle Problems for Quasilinear Stochastic PDEs (2019)Solving high-dimensional Hamilton–Jacobi–Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space (2021)Fractional Brownian Motions, Fractional Noises and Applications (1968)Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE (2003)Stopping Times and Tightness. II (1989)A Delayed Black and Scholes Formula (2007)Stochastic differential equations and applications (2008)Large deviations for locally monotone stochastic partial differential equations driven by Lévy noise (2018)Stock Price Distributions with Stochastic Volatility: An Analytic Approach (1991)A General Version of the Fundamental Theorem of Asset Pricing (1994) (2008)Modelling energy spot prices by volatility modulated Lévy-driven Volterra processes (2013)Numerical solution of stochastic differential equations (2016)Brownian Motion and Stochastic Calculus (1998)Small‐time, large‐time, and asymptotics for the Rough Heston model (2020)Short-dated smile under rough volatility: asymptotics and numerics (2021)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)
this work references cited by second hop

References

  • 1983Stochastic Differential Equations and Diffusion Processes3,836 cited
  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 1999Stochastic Analysis of the Fractional Brownian Motion744 cited
  • 1998A variational representation for certain functionals of Brownian motion270 cited

Cited by

  • 2014Large deviations for neutral functional SDEs with jumps44 cited
  • 2022Large and moderate deviations for stochastic Volterra systems28 cited
  • 2018Large Deviation Principle for Volterra Type Fractional Stochastic Volatility Models28 cited
  • 2020Lévy-driven stochastic Volterra integral equations with doubly singular kernels: existence, uniqueness, and a fast EM method22 cited

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