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References

  • Bichteler, Klaus. Stochastic integration and $L^{p}$-theory of semimartingales. Ann. Probab. 9 (1981), no. 1, 49--89. MR0606798
  • Denis, Laurent; Martini, Claude. A theoretical framework for the pricing of contingent claims in the presence of model uncertainty. Ann. Appl. Probab. 16 (2006), no. 2, 827--852. MR2244434
  • H. Föllmer. Calcul d'Itô sans probabilités. In Séminaire de Probabilités XV, volume 850 of Lecture Notes in Math., pages 143--150, Springer, Berlin, 1981.
  • D. H. Fremlin. Measure Theory, volume 5. Torres Fremlin, Colchester, 2008.
  • Jacod, Jean; Shiryaev, Albert N. Limit theorems for stochastic processes. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 288. Springer-Verlag, Berlin, 2003. xx+661 pp. ISBN: 3-540-43932-3 MR1943877
  • Karandikar, Rajeeva L. On pathwise stochastic integration. Stochastic Process. Appl. 57 (1995), no. 1, 11--18. MR1327950
  • Larson, Paul B. The filter dichotomy and medial limits. J. Math. Log. 9 (2009), no. 2, 159--165. MR2679437
  • Li, Xinpeng; Peng, Shige. Stopping times and related Itô's calculus with $G$-Brownian motion. Stochastic Process. Appl. 121 (2011), no. 7, 1492--1508. MR2802462
  • Meyer, P. A. Limites médiales, d'après Mokobodzki. Séminaire de Probabilités, VII (Univ. Strasbourg, année universitaire 1971–1972), pp. 198--204. Lecture Notes in Math., Vol. 321, Springer, Berlin, 1973. MR0404564
  • M. Nutz and H. M. Soner. Superhedging and dynamic risk measures under volatility uncertainty. To appear in SIAM J. Control Optim.
  • S. Peng. Nonlinear expectations and stochastic calculus under uncertainty. Preprint arXiv:1002.4546v1, 2010.
  • Soner, H. Mete; Touzi, Nizar; Zhang, Jianfeng. Quasi-sure stochastic analysis through aggregation. Electron. J. Probab. 16 (2011), no. 67, 1844--1879. MR2842089
  • H. M. Soner, N. Touzi, and J. Zhang. Wellposedness of second order backward SDEs. To appear in Probab. Theory Related Fields.
  • H. M. Soner, N. Touzi, and J. Zhang. Dual formulation of second order target problems. To appear in Ann. Appl. Probab.
  • Soner, H. Mete; Touzi, Nizar; Zhang, Jianfeng. Martingale representation theorem for the $G$-expectation. Stochastic Process. Appl. 121 (2011), no. 2, 265--287. MR2746175
  • Willinger, Walter; Taqqu, Murad S. Pathwise approximations of processes based on the fine structure of their filtrations. Séminaire de Probabilités, XXII, 542--599, Lecture Notes in Math., 1321, Springer, Berlin, 1988. MR0960547
  • Willinger, Walter; Taqqu, Murad S. Pathwise stochastic integration and applications to the theory of continuous trading. Stochastic Process. Appl. 32 (1989), no. 2, 253--280. MR1014453


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