Pricing and hedging derivative securities in markets with uncertain volatilities, Applied Mathematical Finance, vol.7, issue.2, pp.73-88, 1995. ,
DOI : 10.2307/2330793
Smile Dynamics I, SSRN Electronic Journal, vol.17, pp.117-123, 2004. ,
DOI : 10.2139/ssrn.1493294
Stochastic optimal control: The discrete time case, Academic Pr, 1978. ,
Conjugate convex functions in optimal stochastic control, Journal of Mathematical Analysis and Applications, vol.44, issue.2, pp.44-383, 1973. ,
DOI : 10.1016/0022-247X(73)90066-8
Weak Dynamic Programming Principle for Viscosity Solutions, SIAM Journal on Control and Optimization, vol.49, issue.3, 2011. ,
DOI : 10.1137/090752328
URL : https://hal.archives-ouvertes.fr/hal-00367355
Hedging contingent claims for a large investor in an incomplete market, Advances in Applied Probability, vol.3, issue.01, pp.239-255, 1998. ,
DOI : 10.1111/1467-9965.00022
On the martingale property of time homogeneous diffusion, 2007. ,
A general downcrossing inequality for g-martingales, Statistics & Probability Letters, vol.46, issue.2, pp.169-175, 2000. ,
DOI : 10.1016/S0167-7152(99)00102-9
Second-order backward stochastic differential equations and fully nonlinear parabolic PDEs, Communications on Pure and Applied Mathematics, vol.1627, issue.7, pp.1081-1110, 2007. ,
DOI : 10.1002/cpa.20168
Optimal consumption and portfolio policies when asset prices follow a diffusion process, Journal of Economic Theory, vol.49, issue.1, pp.33-83, 1989. ,
DOI : 10.1016/0022-0531(89)90067-7
Hamilton-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions, Journal of Functional Analysis, vol.62, issue.3, pp.379-396, 1985. ,
DOI : 10.1016/0022-1236(85)90011-4
user's guide to viscosity solutions\\ of second order\\ partial
differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.27-28, 1992. ,
DOI : 10.1090/S0273-0979-1992-00266-5
Convex Duality in Constrained Portfolio Optimization, The Annals of Applied Probability, vol.2, issue.4, pp.767-818, 1992. ,
DOI : 10.1214/aoap/1177005576
Hedging Contingent Claims with Constrained Portfolios, The Annals of Applied Probability, vol.3, issue.3, pp.652-681, 1993. ,
DOI : 10.1214/aoap/1177005357
Backward stochastic differential equations with constraints on the gains-process, Ann. Probab, vol.26, pp.1522-1551, 1998. ,
Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion Paths, Potential Analysis, vol.30, issue.8, pp.139-161, 2011. ,
DOI : 10.1007/s11118-010-9185-x
A theoretical framework for the pricing of contingent claims in the presence of model uncertainty, The Annals of Applied Probability, vol.16, issue.2, pp.827-852, 2006. ,
DOI : 10.1214/105051606000000169
Pricing with a smile, Risk, vol.7, pp.18-20, 1994. ,
A theory of bond portfolios, The Annals of Applied Probability, pp.1260-1305, 2005. ,
Les aspects probabilistes du controle stochastique, in'ecole d'ete de probabilites de saint-flour ix-1979'pl hennequin, Lecture Notes in Math, pp.74-238 ,
Backward stochastic differential equations and applications, Paris-Princeton Lecture Notes on Mathematical Finance, Edts. R. Carmona ,
Reflected solutions of backward sde's, and related obstacle problems for pde's, the Annals of Probability, pp.702-737, 1997. ,
Backward Stochastic Differential Equations in Finance, Mathematical Finance, vol.7, issue.1, pp.1-71, 1997. ,
DOI : 10.1111/1467-9965.00022
OPTIMAL TIMING FOR AN INDIVISIBLE ASSET SALE, Mathematical Finance, vol.41, issue.5, pp.545-567, 2008. ,
DOI : 10.1111/j.1467-9965.2008.00347.x
Optimal stopping of a markov process, Theory Probab, Appl, vol.16, pp.694-696, 1971. ,
Consistency problems for Heath-Jarrow-Morton interest rate models, 2001. ,
DOI : 10.1007/b76888
Asymptotic expansions for Markov processes with l???vy generators, Applied Mathematics & Optimization, vol.18, issue.1, pp.203-223, 1989. ,
DOI : 10.1007/BF01448199
Controlled Markov processes and viscosity solutions, of Stochastic Modelling and Applied Probability, 2006. ,
Asymptotic series and the method of vanishing viscosity, Math. J, vol.35, pp.425-447, 1986. ,
Calcul d'ito sans probabilites, Seminar on Probability, pp.143-150, 1979. ,
DOI : 10.1007/BFb0088364
Consumption and portfolio policies with incomplete markets and short-sale constraints: The infinite dimensional case, Journal of Economic Theory, vol.54, issue.2, pp.259-304, 1991. ,
DOI : 10.1016/0022-0531(91)90123-L
BOND PRICING AND THE TERM STRUCTURE OF INTEREST RATES: A NEW METHODOLOGY FOR CONTINGENT CLAIMS VALUATION, Econometrica: Journal of the Econometric Society, pp.77-105, 1992. ,
DOI : 10.1142/9789812819222_0013
Valuing the option to invest in an incomplete market, Mathematics and Financial Economics, vol.75, issue.2, pp.103-128, 2007. ,
DOI : 10.1007/s11579-007-0005-z
An explicit solution for an optimal stopping/optimal control problem which models an asset sale, The Annals of Applied Probability, pp.1681-1705, 2008. ,
Utility maximization in incomplete markets, The Annals of Applied Probability, pp.1691-1712, 2005. ,
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, Journal of Differential Equations, vol.83, issue.1, pp.26-78, 1990. ,
DOI : 10.1016/0022-0396(90)90068-Z
On pathwise stochastic integration, Stochastic Process, Appl, vol.57, pp.11-18, 1995. ,
On the pricing of american options, Applied mathematics & optimization, pp.37-60, 1988. ,
Explicit solution of a general consumption/investment problem, Stochastic Differential Systems, pp.209-216, 1986. ,
Martingale and Duality Methods for Utility Maximization in an Incomplete Market, SIAM Journal on Control and Optimization, vol.29, issue.3, p.702, 1991. ,
DOI : 10.1137/0329039
Brownian motion and stochastic calculus, Graduate Texts in Mathematics, vol.113, 1991. ,
Stochastic games of control and stopping for a linear diffusion, in Random walk, sequential analysis and related topics, World Sci. Publ, pp.100-117, 2006. ,
Utility Maximization with Discretionary Stopping, SIAM Journal on Control and Optimization, vol.39, issue.1, p.306, 2001. ,
DOI : 10.1137/S0363012998346323
Backward stochastic differential equations and partial differential equations with quadratic growth, Annals of Probability, pp.558-602, 2000. ,
The asymptotic elasticity of utility functions and optimal investment in incomplete markets, The Annals of Applied Probability, vol.9, issue.3, pp.904-950, 1999. ,
DOI : 10.1214/aoap/1029962818
Backward stochastic differential equations with continuous coefficient, Statistics & Probability Letters, vol.32, issue.4, pp.425-430, 1997. ,
DOI : 10.1016/S0167-7152(96)00103-4
Probì emes aux limites non homogènes et applications, Travaux et Recherches Mathématiques, vol.1, issue.17, 1968. ,
Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part I: the case of bounded stochastic evolutions, Acta Mathematica, vol.161, issue.0, pp.243-278, 1988. ,
DOI : 10.1007/BF02392299
Uncertain volatility and the risk-free synthesis of derivatives, Applied Mathematical Finance, vol.20, issue.2, pp.117-133, 1995. ,
DOI : 10.1002/cpa.3160450103
Forward-backward stochastic differential equations and their applications, 1999. ,
DOI : 10.1007/978-3-540-48831-6
Robust utility maximization in non-dominated models with 2bsdes, 2012. ,
Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case, The Review of Economics and Statistics, vol.51, issue.3, pp.247-257, 1969. ,
DOI : 10.2307/1926560
Discrete-parameter martingales, Translated from the French by T. P. Speed, North-Holland Mathematical Library, 1975. ,
Adapted solution of a backward stochastic differential equation, Systems & Control Letters, vol.14, issue.1, pp.14-55, 1990. ,
DOI : 10.1016/0167-6911(90)90082-6
Backward stochastic differential equations and quasilinear parabolic partial differential equations, Stochastic partial differential equations and their applications, pp.200-217, 1992. ,
Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type, Probab. Theory Related Fields, pp.473-499, 1999. ,
The smallest g-supermartingale and reflected bsde with single and double l2 obstacles, Annales de l'Institut Henri Poincare (B) Probability and Statistics, pp.605-630, 2005. ,
A duality principle for the legendre transform ,
A Stochastic Calculus Model of Continuous Trading: Optimal Portfolios, Mathematics of Operations Research, vol.11, issue.2, pp.371-382, 1986. ,
DOI : 10.1287/moor.11.2.371
Voyage au coeur des edsrs du second ordre et autres probì emes contemporains de mathématiquesfinancì eres, 2011. ,
Second order backward stochastic differential equations with continuous coefficient, Arxiv preprint arXiv, 2012. ,
Second order backward stochastic differential equations with quadratic growth, Arxiv preprint, 2012. ,
Stochastic integration and differential equations, 2004. ,
Convex analysis, Princeton Landmarks in Mathematics, 1997. ,
Pricing Via Utility Maximization and Entropy, Mathematical Finance, vol.10, issue.2, pp.259-276, 2000. ,
DOI : 10.1111/1467-9965.00093
HEDGING UNDER GAMMA CONSTRAINTS BY OPTIMAL STOPPING AND FACE-LIFTING, Mathematical Finance, vol.17, issue.1, pp.59-79, 2007. ,
DOI : 10.1111/j.1467-9965.2007.00294.x
Martingale representation theorem for the G-expectation, Stochastic Process, Appl, vol.121, pp.265-287, 2011. ,
Quasi-sure Stochastic Analysis through Aggregation, Electronic Journal of Probability, vol.16, issue.0, 2009. ,
DOI : 10.1214/EJP.v16-950
Multidimensional diffusion processes, Classics in Mathematics, 2006. ,
DOI : 10.1007/3-540-28999-2
Unbounded " second order partial differential equations in infinite-dimensional Hilbert spaces, Comm. Partial Differential Equations, vol.19, pp.1999-2036, 1994. ,
Stochastic control and applications to finance, scuola normale superiore, pisa. special research semester on financial mathematics, 2002. ,
Functional analysis, Classics in Mathematics, 1980. ,