Publications in the last five years

1. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan. Large deviations and Gallavotti–Cohen principle for dissipative PDEs with rough noise, Comm. Math. Phys. 336 (2015), no. 1, 131–170. PDF

2. A. Shirikyan. Control and mixing for 2D Navier-Stokes equations with space-time localised noise,  Ann. Sci. Éc. Norm. Supér. 48 (2015), no. 2, 253–280. PDF

3. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan. Large deviations from a stationary measure for a class of dissipative PDEs with random kicks, Comm. Pure Appl. Math. 68 (2015), no. 12, 2108-2143. PDF 

4. K. Ammari, T. Duyckaerts, A. Shirikyan. Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation, Math. Control Relat. Fields  6 (2016), no. 1, 1-25 PDF

5. A. Shirikyan. Global controllability and mixing for the Burgers equation with localised finite-dimensional external force, New Trends in Differential Equations,  Control Theory and Optimization,  V. Barbu, C. Lefter, I. Vrabie (Eds),  pp. 293-300, 2016. PDF

6. V. Jaksic, C.-A. Pillet, A. Shirikyan. Entropic fluctuations in Gaussian dynamical systems, Rep. Math. Phys. 77 (2016), no. 3, 335–376. PDF 

7. V. Jaksic, C.-A. Pillet, A. Shirikyan. Entropic fluctuations in thermally driven harmonic networks, J. Stat. Phys. 166 (2017), no. 3-4, 926–1015. PDF 

8. A. Shirikyan. Global exponential stabilisation for the Burgers equation with localised control, J. Éc. polytech. Math. 4 (2017), 613–632. PDF 

9. S. Kuksin, A. Shirikyan. Rigorous results in space-periodic two-dimensional turbulence, Physics of Fluids 29 (2017), 125106. PDF

10. A. Shirikyan. Controllability implies mixing. I. Convergence in the total variation metric, Russian Mathematical Surveys 72 (2017), no. 5,939–953. PDF 

11. A. Shirikyan. Mixing for the Burgers Equation driven  by a localised two-dimensional stochastic forcing,  Evolution Equations, Long Time Behavior and Control, K. Ammari & S. Gerbi (Eds.), Cambridge, pp 179-194, 2017. PDF 

12. A. Shirikyan. Control theory for the Burgers equation: Agrachev-Sarychev approach,   Pure Appl. Funct. Anal. 3 (2018), no. 1, 219–240. PDF

13. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan. Large deviations and mixing for dissipative PDEs with unbounded random kicks, Nonlinearity  31 (2018), no. 2, 540–596. PDF 

14. N. Cuneo, V. Jaksic, C.-A. Pillet, A. Shirikyan. Large deviations and fluctuation theorem for selectively decoupled measures on shift spaces,  Rev. Math. Phys. 31 (2019), no. 10, 1950036, 54 pp. PDF 

15. S. Kuksin, V. Nersesyan, A. Shirikyan. Exponential mixing for a class of dissipative PDEs with bounded degenerate noise,  Geom. Funct. Anal. 30 (2020), no. 1, 126–187. PDF 

16. S. Kuksin, V. Nersesyan, A. Shirikyan. Mixing via controllability for randomly forced nonlinear dissipative PDEs,  J. Éc. polytech. Math. 7 (2020), 871–896. PDF

17. A. Shirikyan. Controllability implies mixing II. Convergence in the dual-Lipschitz metric, Journal of the European Mathematical Society (2021), published online on January 5. PDF 

18. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan. Large deviations and entropy production in viscous fluid flows, Preprint. PDF