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References

  1. Barlow, M.T. One-dimensional stochastic differential equation with no strong solution. Journal of the London Mathematical Society 26/2 (1982), 335--347. Math. Review 84d:60083
  2. Carr, P. and Lee, R. Hedging Variance Options on Continuous Semimartingales Finance and Stochastics 16/2 (2010), 179--207. Math. Review 2011d:91233
  3. Cheridito, P., Soner, H.M. and Touzi, N., Victoir, N. Second order BSDE's and fully nonlinear PDE's. Communications in Pure and Applied Mathematics, 60/7 (2007), 1081--1110. Math. Review 2008d:60073
  4. Dellacherie, C. and Meyer P-A. Probabilites et potentiel, (1980), Chapters V-VIII, Hermann.
  5. Denis, L. and Martini, C. A Theorectical Framework for the Pricing of Contingent Claims in the Presence of Model Uncertainty. Annals of Applied Probability 16/2 (2006),827--852. Math. Review 2007j:60100
  6. Denis, L., Hu, M. and Peng, S. Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion Paths. Potential Analysis, 34/2 (2011), 139--161. Math. Review 2011k:60113
  7. El Karoui, N. and Quenez, M.-C. Dynamic programming and pricing of contingent claims in an incomplete markets. SIAM J. Control. Optim., 33/1, (1995), 29--66. Math. Review 96h:90021
  8. Fernholz, D. and Karatzas, I. Optimal Arbitrage under Model Uncertainty. Annals of Applied Probability, (2011) to appear.
  9. Fleming, W.H. and Soner, H.M. Controlled Markov processes and viscosity solutions. Applications of Mathematics (New York), 25. Springer-Verlag, New York, (1993). Math. Review 2006e:93002
  10. Karandikar, R. On pathwise stochastic integration. Stochastic Processes and Their Applications. 57 (1995), 11--18. Math. Review 96c:60067
  11. Karatzas, I. and Shreve, S. Brownian Motion and Stochastic Calculus. 2nd Edition, Springer, (1991). Math. Review 92h:60127
  12. Neveu, J. Discrete Parameter Martingales. North Holland Publishing Company, (1975). Math. Review MR0402915
  13. Peng, S. G-Brownian motion and dynamic risk measure under volatility uncertainty, arXiv:0711.2834v1, (2007).
  14. Soner, H. M. and Touzi, N. Dynamic programming for stochastic target problems and geometric flows. Journal of European Mathematical Society, 4/3 (2002), 201--236. Math. Review 2004d:93142
  15. Soner, H. M. Touzi, N. and Zhang, J. Martingale representation theorem for $G-$expectation. Stochastic Processes and their Applications , 121 (2011), 265--287. Math. Review MR2746175
  16. Soner, H. M. Touzi, N. and Zhang, J. Dual Formulation of Second Order Target Problems. (2009) arXiv:1003.6050.
  17. Soner, H. M. Touzi, N. and Zhang, J. Wellposedness of second order backward SDEs. Probability Theory and Related Fields, (2011), to appear.
  18. Stroock, D.W. and Varadhan, S.R.S. Multidimensional Diffusion Processes. (1979), Springer-Verlag, Berlin, Heidelberg, New York. Math. Review 81f:60108


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