Publications

A. Panati:
On the Nature of Energy Full Statistics: fluctuations' control and heavytailed distributions and ultraviolet regularization.
Oberwolfach Reports 41, 1316, (2017).

N. Cuneo, V. Jakšić, C.A. Pillet, A. Shirikyan:
Large Deviations and Fluctuation Theorem for Selectively
Decoupled Measures on Shift Spaces.
Rev. Math. Phys. 31, 1950036 (2019).

S. Kuksin, A. Shirikyan:
Rigorous results in spaceperiodic twodimensional turbulence.
Physics of Fluids 29, 125106 (2017).

D. Martirosyan, V. Nersesyan:
Multiplicative ergodic theorem for a nonirreducible random
dynamical system.
J. Diff. Equ. 268, 35643598 (2020).

R. Raquépas:
A note on Harris' ergodic theorem, controllability and perturbations
of harmonic networks.
Annales Henri Poincaré 20, 605629 (2019).

T. Benoist, A. Panati, R. Raquépas:
Control of fluctuations and heavy tails for heat variation in
the twotime measurement framework.
Annales Henri Poincaré 20, 631–674 (2019).

S. Kuksin, V. Nersesyan, A. Shirikyan:
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise.
Geom. Funct. Anal. 30, 126–187 (2020).

V. Jakšić:
Lectures on Entropy. Part I.
To appear in Dynamical Methods in Open Quantum Systems,
Bahns et al. (Eds).
Tutorials, Schools and Workshops in the Mathematical Sciences, Springer.

A. Shirikyan:
Control theory for the Burgers equation: Agrachev–Sarychev approach.
Pure and Applied Functional Analysis 3, 219240 (2018).

V. Nersesyan:
Large deviations for the NavierStokes equations driven by a whiteintime noise.
Annales Henri Lebesgue 2, 481513 (2019).

T. Benoist, A. Panati, Y. Pautrat:
Heat conservation and fluctuations for open quantum systems in the TwoTime Measurement picture.
J. Stat. Phys. 178, 893925 (2020).

V. Nersesyan:
Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension.
Math. Control Rel. Fields 11, 237251 (2021).

H.D. Cornean, V. Moldoveanu, C.A. Pillet:
A Dyson equation for nonequilibrium Green's functions in the partitionfree setting.
Physica Status Solidi B, 1800447, (2019).

V. Jakšić, V. Nersesyan, C.A. Pillet, A. Shirikyan:
Large deviations and entropy production in viscous fluid flows.
Arch. Rational Mech. Anal. (2021).

V. Nersesyan, R. Raquépas:
Exponential mixing under controllability conditions for SDEs driven by a degenerate Poisson noise.
Stochastic Process. Appl. 138, 2655 (2021).

S. Kuksin, V. Nersesyan, A. Shirikyan:
Mixing via controllability for randomly forced nonlinear dissipative PDEs.
J. Ec. Poly. Math. 7, 871896 (2020).

J. Asch, A. Joye:
Lower Bounds on the Localisation Length of Balanced Random Quantum Walks.
Lett. Math. Phys. 109, 21332155 (2019).

V. Nersesyan:
Ergodicity for the randomly forced NavierStokes system in a twodimensional unbounded domain.

A. Shirikyan:
Controllability implies mixing II. Convergence in the dualLipschitz metric.
To appear in Journal of the European Mathematical Society, (2019).

M. Damak, M. Hammami, C.A. Pillet:
A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium.
J. Stat. Phys.180, 263296 (2020).

J. Asch, O. Bourget and A. Joye:
Engineering stable quantum currents at bulk boundaries.
J. Math. Phys. 61, 092104 (2020).

C. FermanianKammerer and A. Joye:
Nonlinear Quantum Adiabatic Approximation.
Nonlinearity 33, 47154751 (2020).

R. Raquépas:
On Fermionic walkers interacting with a correlated structured environment.
Lett. Math. Phys. 110, 121145 (2020).

A. Dymov, S. Kuksin:
Formal expansion in stochastic model for wave turbulence 1: kinetic limit.

P.M. Boulvard, P. Gao and V. Nersesyan:
Controllability and ergodicity of 3D primitive equations driven by a finitedimensional force.

V. Nersesyan:
A proof of approximate controllability of the 3D NavierStokes system via a linear test.
To appear in SIAM J. Control Optim.

J.F. Bougron and L. Bruneau:
Linear Response Theory and Entropic Fluctuations in Repeated Interaction Quantum Systems.
J. Stat. Phys. 181, 16361677 (2020).

N. Cuneo, T. Benoist, V. Jakšić, C.A. Pillet:
On entropy production of repeated quantum measurements II. Examples.
J. Stat. Phys. 182, 44, 71 pages (2021).

V. Nersesyan:
The complex GinzburgLandau equation perturbed by a force localised both in physical and Fourier spaces.

V. Nersesyan:
Bilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation.

A. Boritchev, S. Kuksin:
OneDimensional Turbulence and the Stochastic Burgers Equation.
Mathematical Surveys and Monographs 255, 192 pages, (2021), A.M.S.

Y. Pautrat, S. Wang:
Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras.