His primary areas of investigation include Mathematical optimization, Mathematical finance, Mathematical economics, Stochastic control and Dynamic programming. Huyên Pham has included themes like Isoelastic utility, Expected utility hypothesis and Stochastic volatility in his Mathematical optimization study. His Mathematical finance study integrates concerns from other disciplines, such as Optimization problem, Incomplete markets and Portfolio.
His Mathematical economics research incorporates themes from Closed-form expression, Representation, Infimum and supremum and Asian option. His Stochastic control research integrates issues from Markov process, Quantization, Optimal stopping, Markov chain and Monte Carlo method. His biological study spans a wide range of topics, including Optimal control, Bounded function, Applied mathematics and Bellman equation.
Huyên Pham mainly focuses on Mathematical optimization, Stochastic control, Dynamic programming, Applied mathematics and Bellman equation. His Mathematical optimization research is multidisciplinary, incorporating perspectives in Portfolio optimization, Portfolio and Selection. His work deals with themes such as High-frequency trading, Hamilton–Jacobi–Bellman equation, Nonlinear system and Markov chain, which intersect with Stochastic control.
His Dynamic programming research also works with subjects such as
His primary scientific interests are in Applied mathematics, Mathematical optimization, Stochastic differential equation, Partial differential equation and Bellman equation. His study in Applied mathematics is interdisciplinary in nature, drawing from both Numerical analysis, Uniqueness, Stochastic game and Optimal control. Huyên Pham combines subjects such as Bayesian inference, Portfolio optimization, Portfolio and Probability measure with his study of Mathematical optimization.
His work in Partial differential equation addresses subjects such as Nonlinear system, which are connected to disciplines such as Artificial neural network, Deep learning, Artificial intelligence and Algorithm. His research in Bellman equation intersects with topics in Dynamic programming, Stochastic control and Constraint. Within one scientific family, he focuses on topics pertaining to Viscosity solution under Dynamic programming, and may sometimes address concerns connected to First-order partial differential equation.
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Optimal stopping, free boundary, and American option in a jump-diffusion model
Huyên Pham.
Applied Mathematics and Optimization (1997)
Mean‐Variance Hedging and Numéraire
Christian Gourieroux;Jean Paul Laurent;Huyên Pham.
Mathematical Finance (1998)
Dynamic programming and mean-variance hedging
Jean Paul Laurent;Huyên Pham.
Finance and Stochastics (1999)
Optimal high frequency trading with limit and market orders
Fabien Guilbaud;Huyen Pham.
Quantitative Finance (2013)
Mean-variance hedging for continuous processes: New proofs and examples
Huyên Pham;Thorsten Rheinländer;Martin Schweizer.
Finance and Stochastics (1998)
Optimal quantization methods and applications to numerical problems in finance
Gilles Pagès;Huyên Pham;Jacques Printems.
(2004)
A closed-form solution to the problem of super-replication under transaction costs
Jakša Cvitanić;Huyên Pham;Nizar Touzi.
Finance and Stochastics (1999)
Super-replication in stochastic volatility models under portfolio constraints
Jakša Cvitanić;Huyên Pham;Nizar Touzi.
Journal of Applied Probability (1999)
A model of optimal portfolio selection under liquidity risk and price impact
Vathana Ly Vath;Mohamed Mnif;Huyên Pham.
Finance and Stochastics (2006)
On quadratic hedging in continuous time
Huyên Pham.
Mathematical Methods of Operations Research (2000)
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