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References

  • Attanasio, Stefano; Flandoli, Franco. Zero-noise solutions of linear transport equations without uniqueness: an example. C. R. Math. Acad. Sci. Paris 347 (2009), no. 13-14, 753--756. MR2543977
  • Bafico, R.; Baldi, P. Small random perturbations of Peano phenomena. Stochastics 6 (1981/82), no. 3-4, 279--292. MR0665404
  • Baldi, P.; Caramellino, L. General Freidlin-Wentzell large deviations and positive diffusions. Statist. Probab. Lett. 81 (2011), no. 8, 1218--1229. MR2803766
  • Borkar, V. S.; Kumar, K. Suresh. A new Markov selection procedure for degenerate diffusions. J. Theoret. Probab. 23 (2010), no. 3, 729--747. MR2679954
  • Buckdahn, R.; Ouknine, Y.; Quincampoix, M. On limiting values of stochastic differential equations with small noise intensity tending to zero. Bull. Sci. Math. 133 (2009), no. 3, 229--237. MR2512827
  • F. Delarue and F. Flandoli, phThe transition point in the zero-noise limit for a 1D Peano example, preprint.
  • F. Delarue, F. Flandoli, and D. Vincenzi, phNoise prevents collapse of Vlasov-Poisson point charges, To appear in Comm. Pure Appl. Math.
  • Feng, Jin; Kurtz, Thomas G. Large deviations for stochastic processes. Mathematical Surveys and Monographs, 131. American Mathematical Society, Providence, RI, 2006. xii+410 pp. ISBN: 978-0-8218-4145-7; 0-8218-4145-9 MR2260560
  • Flandoli, Franco. Random perturbation of PDEs and fluid dynamic models. Lectures from the 40th Probability Summer School held in Saint-Flour, 2010. Lecture Notes in Mathematics, 2015. Springer, Heidelberg, 2011. x+176 pp. ISBN: 978-3-642-18230-3 MR2796837
  • Gradinaru, Mihai; Herrmann, Samuel; Roynette, Bernard. A singular large deviations phenomenon. Ann. Inst. H. Poincaré Probab. Statist. 37 (2001), no. 5, 555--580. MR1851715
  • Herrmann, Samuel. Phénomène de Peano et grandes déviations. (French) [Large deviations for the Peano phenomenon] C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), no. 11, 1019--1024. MR1838131
  • Olivier~Pamen Menoukeu, Thilo Meyer-Brandis, and Frank~Norbert Proske, phA Gel'fand triple approach to the small noise problem for discontinuous ODE's, (2010).
  • Daniel Revuz and Marc Yor, phContinuous martingales and Brownian motion, third ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 293, Springer-Verlag, Berlin, 1999. MR1725357 (2000h:60050)
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