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Uniqueness of the representation for $G$-martingales with finite variation
8 references·4 citing·26 second hop
Uniqueness of the representation for $G$-martingales with finite variation (2012)Uniqueness of the representation for $G$-…A complete representation theorem for G-martingales (2014)A complete representation the…Some properties on G-evaluation and its applications to G-martingale decomposition (2011)Some properties on G-evaluati…Properties of hitting times for G -martingales and their applications (2011)Properties of hitting times f…Martingale representation theorem for the G -expectation (2010)Martingale representation the…Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion Paths (2010)Function Spaces and Capacity …On representation theorem of G-expectations and paths of G-Brownian motion (2009)On representation theorem of …Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation (2008)Multi-dimensional G-Brownian …G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô Type (2007)G-Expectation, G-Brownian Mot…Zero-sum path-dependent stochastic differential games in weak formulation (2020)Zero-sum path-dependent stoch…Quadratic backward stochastic differential equations driven by G -Brownian motion: Discrete solutions and approximation (2018)Quadratic backward stochastic…Properties of G -martingales with finite variation and the application to G -Sobolev spaces (2018)Properties of G -martingales …$G$-expectation weighted Sobolev spaces, backward SDE and path dependent PDE (2015)$G$-expectation weighted Sobo…Adapted solution of a backward stochastic differential equation (1990)Backward Stochastic Differential Equations in Finance (1997)Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Path dependent Feynman–Kac formula for forward backward stochastic Volterra integral equations (2022)Coherent Measures of Risk (1999)Convex measures of risk and trading constraints (2002)Pathwise properties and homeomorphic flows for stochastic differential equations driven by G -Brownian motion (2009)Wellposedness of second order backward SDEs (2011)Ambiguous Volatility and Asset Pricing in Continuous Time (2013)Nonlinear Expectations and Stochastic Calculus under Uncertainty (2019)Continuous Martingales and Brownian Motion (1999)Brownian Motion and Stochastic Calculus (2007)Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations (2009)Coherent Risk Measures on General Probability Spaces (2002)Stopping times and related Itô’s calculus with G -Brownian motion (2011)Comparison theorem, Feynman–Kac formula and Girsanov transformation for BSDEs driven by G -Brownian motion (2013)Controlled Markov Processes and Viscosity Solutions (2005)Quasi-sure Stochastic Analysis through Aggregation (2011)Stochastic Differential Equations (2003)Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations (2019)Dynamic Programming and Pricing of Contingent Claims in an Incomplete Market (1995)Optional decomposition of supermartingales and hedging contingent claims in incomplete security markets (1996)How big are the increments of G-Brownian motion? (2014)On existence and approximate solutions for stochastic differential equations in the framework of G-Brownian motion (2017)Backward Stochastic Differential Equation, Nonlinear Expectation and Their Applications (2011)Backward stochastic differential equations driven by G -Brownian motion (2013)
this work references cited by second hop

References

  • 2007G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô Type621 cited
  • 2010Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion Paths570 cited
  • 2008Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation556 cited
  • 2010Martingale representation theorem for the G -expectation201 cited
  • 2009On representation theorem of G-expectations and paths of G-Brownian motion179 cited
  • 2011Some properties on G-evaluation and its applications to G-martingale decomposition163 cited
  • 2011Properties of hitting times for G -martingales and their applications42 cited
  • 2014A complete representation theorem for G-martingales41 cited

Cited by

  • 2015$G$-expectation weighted Sobolev spaces, backward SDE and path dependent PDE29 cited
  • 2020Zero-sum path-dependent stochastic differential games in weak formulation29 cited
  • 2018Quadratic backward stochastic differential equations driven by G -Brownian motion: Discrete solutions and approximation26 cited
  • 2018Properties of G -martingales with finite variation and the application to G -Sobolev spaces16 cited

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