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ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS
2 references·16 citing·39 second hop
ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS (1981)ON STRONG SOLUTIONS AND EXPLICIT FORMULAS…A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT (1974)A TRANSFORMATION OF THE PHASE…On the uniqueness of solutions of stochastic differential equations (1971)On the uniqueness of solution…McKean–Vlasov SDEs under measure dependent Lyapunov conditions (2021)McKean–Vlasov SDEs under meas…Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations (2021)Existence and uniqueness theo…Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games I: The Ergodic Case (2021)Convergence Analysis of Machi…On the convergence of closed-loop Nash equilibria to the mean field game limit (2020)On the convergence of closed-…Strong well posedness of McKean–Vlasov stochastic differential equations with Hölder drift (2019)Strong well posedness of McKe…Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients (2015)Strong rate of convergence fo…Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift (2013)Strong uniqueness for stochas…PATHWISE UNIQUENESS FOR SINGULAR SDEs DRIVEN BY STABLE PROCESSES (2012)PATHWISE UNIQUENESS FOR SINGU…Pathwise uniqueness and continuous dependence for SDEs with non-regular drift (2011)Pathwise uniqueness and conti…Ergodic Control of Diffusion Processes (2011)Ergodic Control of Diffusion …Uniqueness of Solutions of Stochastic Differential Equations (2007)Uniqueness of Solutions of St…Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime (2004)Dynamic Scheduling of a Multi…Diversity and relative arbitrage in equity markets (2004)Diversity and relative arbitr…Regularization of differential equations by fractional noise (2002)Regularization of differentia…A variational representation for certain functionals of Brownian motion (1998)A variational representation …Risk-Sensitive Control on an Infinite Time Horizon (1995)Risk-Sensitive Control on an …Stochastic Differential Equations and Diffusion Processes (1983)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Brownian Motion and Stochastic Calculus (2007)Characterizations of Overtaking Optimality for Controlled Diffusion Processes (2007)Homogenization and Asymptotics for Small Transaction Costs (2013)Homogenization and Asymptotics for Small Transaction Costs: The Multidimensional Case (2015)Sobolev differentiable stochastic flows for SDEs with singular coefficients: Applications to the transport equation (2015)Numerical solution of stochastic differential equations (2016)A stochastic sewing lemma and applications (2018)Stochastic Differential Equations and Applications (1976)Integration with respect to fractal functions and stochastic calculus. 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this work references cited by second hop

References

  • 1971On the uniqueness of solutions of stochastic differential equations848 cited
  • 1974A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT430 cited

Cited by

  • 1995Risk-Sensitive Control on an Infinite Time Horizon301 cited
  • 1998A variational representation for certain functionals of Brownian motion270 cited
  • 2011Ergodic Control of Diffusion Processes177 cited
  • 2021Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations176 cited
  • 2002Regularization of differential equations by fractional noise170 cited
  • 2004Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime125 cited
  • 2007Uniqueness of Solutions of Stochastic Differential Equations108 cited
  • 2012PATHWISE UNIQUENESS FOR SINGULAR SDEs DRIVEN BY STABLE PROCESSES107 cited
  • 2020On the convergence of closed-loop Nash equilibria to the mean field game limit106 cited
  • 2011Pathwise uniqueness and continuous dependence for SDEs with non-regular drift99 cited
  • 2021McKean–Vlasov SDEs under measure dependent Lyapunov conditions97 cited
  • 2021Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games I: The Ergodic Case97 cited

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  • 2004Diversity and relative arbitrage in equity markets95 cited
  • 2019Strong well posedness of McKean–Vlasov stochastic differential equations with Hölder drift91 cited
  • 2013Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift89 cited
  • 2015Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients86 cited