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References

  • Cresson, Jacky; Darses, Sébastien. Plongement stochastique des systèmes lagrangiens. (French) [Stochastic embedding of Lagrangian systems] C. R. Math. Acad. Sci. Paris 342 (2006), no. 5, 333--336. MR2201959
  • Darses, Sébastien; Nourdin, Ivan. Stochastic derivatives for fractional diffusions. Ann. Probab. 35 (2007), no. 5, 1998--2020. MR2349582
  • Föllmer, H. Time reversal on Wiener space. Stochastic processes—mathematics and physics (Bielefeld, 1984), 119--129, Lecture Notes in Math., 1158, Springer, Berlin, 1986. MR0838561
  • Karatzas, Ioannis; Shreve, Steven E. Brownian motion and stochastic calculus. Second edition. Graduate Texts in Mathematics, 113. Springer-Verlag, New York, 1991. xxiv+470 pp. ISBN: 0-387-97655-8 MR1121940
  • Kolmogoroff, A. Zur Umkehrbarkeit der statistischen Naturgesetze. (German) Math. Ann. 113 (1937), no. 1, 766--772. MR1513121
  • Millet, A.; Nualart, D.; Sanz, M. Integration by parts and time reversal for diffusion processes. Ann. Probab. 17 (1989), no. 1, 208--238. MR0972782
  • E. Nelson (2001): Dynamical theory of Brownian motion. Princeton University Press. Second edition.
  • Pardoux, É. Grossissement d'une filtration et retournement du temps d'une diffusion. (French) [Enlargement of a filtration and time reversal of a diffusion] Séminaire de Probabilités, XX, 1984/85, 48--55, Lecture Notes in Math., 1204, Springer, Berlin, 1986. MR0942014
  • Rogers, L. C. G.; Williams, David. Diffusions, Markov processes, and martingales. Vol. 2. Itô calculus. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1987. xiv+475 pp. ISBN: 0-471-91482-7 MR0921238
  • Roelly, Sylvie; Thieullen, Michèle. Duality formula for the bridges of a Brownian diffusion: application to gradient drifts. Stochastic Process. Appl. 115 (2005), no. 10, 1677--1700. MR2165339
  • Royer, Gilles. Une initiation aux inégalités de Sobolev logarithmiques. (French) [An introduction to logarithmic Sobolev inequalities] Cours Spécialisés [Specialized Courses], 5. Société Mathématique de France, Paris, 1999. viii+114 pp. ISBN: 2-85629-075-2 MR1704288
  • Thieullen, M. Second order stochastic differential equations and non-Gaussian reciprocal diffusions. Probab. Theory Related Fields 97 (1993), no. 1-2, 231--257. MR1240725
  • Zheng, W. A.; Meyer, P.-A. Quelques résultats de "mécanique stochastique''. (French) [Some results in "stochastic mechanics''] Seminar on probability, XVIII, 223--244, Lecture Notes in Math., 1059, Springer, Berlin, 1984. MR0770964
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