scientific article; zbMATH DE number 7348646

zbMath1461.60037MaRDI QIDQ4988574

Bouanani Hafida Hafida, Kandouci Abdeldjebbar, Kebiri Omar

Publication date: 17 May 2021

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

multidimensional systemcontraction mappingG-Brownian motionG-expectationfully coupled forward backward stochastic differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic integrals (60H05) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

Cites Work

• Unnamed Item
• Financial markets with volatility uncertainty
• On the existence and uniqueness of solutions to stochastic differential equations driven by \(G\)-Brownian motion with integral-Lipschitz coefficients
• A stochastic recursive optimal control problem under the G-expectation framework
• Adapted solution of a backward stochastic differential equation
• Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
• Filtration consistent nonlinear expectations and evaluations of contingent claims
• Controlled diffusion processes
• Forward-backward stochastic differential equations and their applications
• Forward-backward stochastic differential equations and quasilinear parabolic PDEs
• Backward-forward stochastic differential equations
• Robust valuation, arbitrage ambiguity and profit \& loss analysis
• On the existence and uniqueness of solutions to FBSDEs in a non-degenerate case.
• Hedging options for a large investor and forward-backward SDE's
• Filtration-consistent nonlinear expectations and related \(g\)-expectations
• A general downcrossing inequality for \(g\)-martingales
• Forward-backward stochastic differential equations driven by \(G\)-Brownian motion
• Adaptive importance sampling with forward-backward stochastic differential equations
• Backward stochastic differential equations driven by \(G\)-Brownian motion
• Ambiguous volatility, possibility and utility in continuous time
• Controlled Markov processes and viscosity solutions
• Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
• Coherent Measures of Risk
• SOME NEW RESULTS IN THE THEORY OF CONTROLLED DIFFUSION PROCESSES
• Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control
• Backward Stochastic Differential Equations in Finance
• One dimensional BSDEs with logarithmic growth application to PDEs
• Nonlinear Expectations and Stochastic Calculus under Uncertainty
• Variational approach to rare event simulation using least-squares regression
• MULTIDIMENSIONAL DYNAMIC RISK MEASURE VIA CONDITIONAL g‐EXPECTATION

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