Free Access
Issue
ESAIM: PS
Volume 11, February 2007
Special Issue: "Stochastic analysis and mathematical finance" in honor of Nicole El Karoui's 60th birthday
Page(s) 301 - 326
DOI https://doi.org/10.1051/ps:2007021
Published online 17 August 2007
  1. A. Bensoussan, J.L. Lions and G. Papanicolaou, Asymptotic Analysis for Periodic Structures. North-Holland, Amsterdam (1978).
  2. P. Billingsley, Convergence of Probabilities Measures. John Wiley & Sons (1968).
  3. L. Breiman, Probability. Addison-Wesley Series in Statistics (1968).
  4. H. Brezis, Analyse fonctionnelle. Masson (1983).
  5. M. Decamps, A. De Schepper and M. Goovaerts, Applications of δ-function pertubation to the pricing of derivative securities. Physica A 342 (2004) 677–692. [CrossRef] [MathSciNet]
  6. M. Decamps, M. Goovaerts and W. Schoutens, Self Exciting Threshold Interest Rates Model. Int. J. Theor. Appl. Finance 9 (2006) 1093–1122. [CrossRef] [MathSciNet]
  7. P. Étoré, On random walk simulation of one-dimensional diffusion processes with discontinuous coefficients. Electron. J. Probab. 11 (2006) 249–275. [MathSciNet]
  8. P. Étoré, Approximation de processus de diffusion à coefficients discontinus en dimension un et applications à la simulation. Ph.D. thesis, Université Henri Poincaré, Nancy, France (2006).
  9. O. Faugeras, F. Clément, R. Deriche, R. Keriven, T. Papadopoulo, J. Roberts, T. Viéville, F. Devernay, J. Gomes, G. Hermosillo, P. Kornprobst and D. Lingrand, The inverse EEG and MEG problems: The adjoint state approach I: The continuous case. INRIA research report RR-3673 (1999).
  10. M. Freidlin and A.D. Wentzell, Necessary and Sufficient Conditions for Weak Convergence of One-Dimensional Markov Processes. Festschrift dedicated to 70th Birthday of Professor E.B. Dynkin, Birkhäuser (1994) 95–109.
  11. V.V. Jikov, S.M. Kozlov and O.A. Oleinik, Homogenization of Differential Operators and Integral Functionals. Springer (1994).
  12. P.E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations. Springer, Berlin (1992).
  13. A. Lejay, Méthodes probabilistes pour l'homogénéisation des opérateurs sous forme divergence: cas linéaires et semi-linéaires. Ph.D. thesis, Université de Provence, Marseille, France (2000).
  14. A. Lejay, Stochastic Differential Equations Driven by Processes Generated by Divergence Form Operators I: A Wong-Zakai Theorem. ESAIM Probab. Stat. 10 (2006) 356–379. [CrossRef] [EDP Sciences] [MathSciNet]
  15. A. Lejay and M. Martinez, A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients. Annals Appl. Probab. 16 (2006) 107–139. [CrossRef] [MathSciNet]
  16. M. Martinez, Interprétations probabilistes d'opérateurs sous forme divergence et analyse de méthodes numériques probabilistes associées. Ph.D. thesis, Université de Provence, Marseille, France (2004).
  17. M. Martinez and D. Talay, Discrétisation d'équations différentielles stochastiques unidimensionnelles à générateur sous forme divergence avec coefficient discontinu. C.R. Acad. Sci. Paris 342 (2006) 51–56.
  18. H. Owhadi and L. Zhang, Metric based upscaling. Commun. Pure Appl. Math. (to appear).
  19. J.M. Ramirez, E.A. Thomann, E.C. Waymire, R. Haggerty and B. Wood, A generalized Taylor-Aris formula and Skew Diffusion. Multiscale Model. Simul. 5 (2006) 786–801. [NASA ADS] [CrossRef] [EDP Sciences] [MathSciNet] [PubMed]
  20. D. Revuz and M. Yor, Continuous Martingale and Brownian Motion. Springer, Heidelberg (1991).
  21. A. Rozkosz, Weak convergence of Diffusions Corresponding to Divergence Form Operators. Stochastics Stochastics Rep. 57 (1996) 129–157. [MathSciNet]
  22. D.W. Stroock, Diffusion semigroups corresponding to uniformly elliptic divergence form operators. Springer, Lecture Notes in Mathematics, Seminaire de Probabilités XXII 1321 (1988) 316–347.
  23. D.W. Stroock and W. Zheng, Markov chain approximations to symmetric diffusions. Ann. Inst. H. Poincaré Probab. Statist. 33 (1997) 619–649. [CrossRef] [MathSciNet]
  24. V.V. Zhikov, S.M. Kozlov, O.A. Oleinik and K. T'en Ngoan, Averaging and G-convergence of Differential Operators. Russian Math. Survey 34 (1979) 69–147. [CrossRef]
  25. V.V. Zhikov, S.M. Kozlov and O.A. Oleinik, G-convergence of Parabolic Operators. Russian Math. Survey 36 (1981) 9–60. [CrossRef]

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