Weak Noise perturbation of non Cauchy differential equations : Spontaneous stochasticity and Large deviations

Petit séjour d’étude organisé par Raphaël Chétrite du 22 au 29 avril 2024.

Participants

Julien BARRE (Université d’Orléans – Orléans, FRANCE), Cédric BERNARDIN (HSE University – Moscou, RUSSIE), Raphaël CHETRITE (CNRS et Inphyni, Université de Nice Côte d’Azur – Nice, FRANCE), Kirone MALLICK (CEA Saclay – Gif Sur Yvette, FRANCE)

References

[1] Bernard, D., Gawedzki, K., and Kupiainen, A. (1998). Slow modes in passive advection. Journal of Statistical Physics, 90, 519-569.

[2]  Thalabard, S., Bec, J., and Mailybaev, A. A. (2020). From the butterfly effect to spontaneous stochasticity in singular shear flows. Communications Physics, 3(1), 122.

[3]  Bandak, D., Mailybaev, A. A., Eyink, G. L., and Goldenfeld, N. (2024). Spontaneous stochasticity amplifies even thermal noise to the largest scales of turbulence in a few eddy turnover times. Physical review letters, 132(10), 104002.

[4]  Gradinaru, M., Herrmann, S., and Roynette, B. (2001, September). A singular large deviations phenomenon. In Annales de l’Institut Henri Poincare (B) Probability and Statistics (Vol. 37, No. 5, pp. 555-580).

[5]  Eyink, G. L., and Bandak, D. (2020). Renormalization group approach to spontaneous stochasticity. Physical Review Research, 2(4), 043161.