Publications

• A. Panati: On the Nature of Energy Full Statistics: fluctuations' control and heavy-tailed distributions and ultraviolet regularization. Oberwolfach Reports 41, 13-16, (2017).
• V. Nersesyan: Large deviations results for the stochastic Navier-Stokes equations. Séminaire Laurent-Schwartz - EDP et applications(2017).
• S. Kuksin, A. Shirikyan: Rigorous results in space-periodic two-dimensional turbulence. Physics of Fluids 29, 125106 (2017).
• A. Shirikyan: Control theory for the Burgers equation: Agrachev–Sarychev approach. Pure and Applied Functional Analysis 3, 219-240 (2018).
• N. Cuneo, V. Jakšić, C.-A. Pillet, A. Shirikyan: Fluctuation theorem and thermodynamic formalism.
• 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.
• 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).
• R. Raquépas: A note on Harris' ergodic theorem, controllability and perturbations of harmonic networks. Annales Henri Poincaré 20, 605-629 (2019).
• T. Benoist, A. Panati, R. Raquépas: Control of fluctuations and heavy tails for heat variation in the two-time measurement framework. Annales Henri Poincaré 20, 631–674 (2019).
• V. Nersesyan: Large deviations for the Navier-Stokes equations driven by a white-in-time noise. Annales Henri Lebesgue 2, 481-513 (2019).
• H.D. Cornean, V. Moldoveanu, C.-A. Pillet: A Dyson equation for non-equilibrium Green's functions in the partition-free setting. Physica Status Solidi B, 1800447, (2019).
• J. Asch, A. Joye: Lower Bounds on the Localisation Length of Balanced Random Quantum Walks. Lett. Math. Phys. 109, 2133-2155 (2019).
• V. Nersesyan: Ergodicity for the randomly forced Navier-Stokes system in a two-dimensional unbounded domain. Annales Henri Poincaré 23, 2277--2294 (2022).
• D. Martirosyan, V. Nersesyan: Multiplicative ergodic theorem for a non-irreducible random dynamical system. J. Diff. Equ. 268, 3564-3598 (2020).
• 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).
• A. Joye, M. Merkli, D. Spehner: Adiabatic Transitions in a Two-Level System Coupled to a Free Boson Reservoir. Annales Henri Poincaré 21, 3157-3199 (2020).
• T. Benoist, A. Panati, Y. Pautrat: Heat conservation and fluctuations for open quantum systems in the Two-Time Measurement picture. J. Stat. Phys. 178, 893-925 (2020).
• S. Kuksin, V. Nersesyan, A. Shirikyan: Mixing via controllability for randomly forced nonlinear dissipative PDEs. J. Ec. Poly. Math. 7, 871-896 (2020).
• 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, 263-296 (2020).
• J. Asch, O. Bourget and A. Joye: On stable quantum currents. J. Math. Phys. 61, 092104 (2020).
• C. Fermanian-Kammerer and A. Joye: Nonlinear Quantum Adiabatic Approximation. Nonlinearity 33, 4715-4751 (2020).
• R. Raquépas: On Fermionic walkers interacting with a correlated structured environment. Lett. Math. Phys. 110, 121-145 (2020).
• J.-F. Bougron and L. Bruneau: Linear Response Theory and Entropic Fluctuations in Repeated Interaction Quantum Systems. J. Stat. Phys. 181, 1636-1677 (2020).
• R. Raquépas: The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions.
• V. Nersesyan: Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension. Math. Control Rel. Fields 11, 237-251 (2021).
• V. Jakšić, V. Nersesyan, C.-A. Pillet, A. Shirikyan: Large deviations and entropy production in viscous fluid flows. Arch. Rational Mech. Anal. 240, 1675--1725 (2021).
• V. Nersesyan, R. Raquépas: Exponential mixing under controllability conditions for SDEs driven by a degenerate Poisson noise. Stochastic Process. Appl. 138, 26-55 (2021).
• T. Benoist, M. Fraas, Y. Pautrat, C. Pellegrini: Invariant measure for stochastic Schrödinger equations. Annales Henri Poincaré 22, 347-374 (2021).
• R. Raquépas: Tools and results in the study of entropy production. Thèse de doctorat (2021).
• A. Shirikyan: Controllability implies mixing II. Convergence in the dual-Lipschitz metric. Journal of the European Mathematical Society 23, 1381–1422 (2021).
• 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).
• G. Haack, A. Joye: Perturbation Analysis of Quantum Reset Models J. Stat. Phys. 183, 17 (2021).
• V. Nersesyan: A proof of approximate controllability of the 3D Navier-Stokes system via a linear test. SIAM J. Control Optim. 59, 2411–2427 (2021).
• S. Andréys, A. Joye, R. Raquépas: Fermionic Walkers Driven Out of Equilibrium J. Stat. Phys. 184, 14 (2021).
• A. Boritchev, S. Kuksin: One-Dimensional Turbulence and the Stochastic Burgers Equation. Mathematical Surveys and Monographs 255, 192 pages, (2021), A.M.S.
• J. Földes, A. Shirikyan: Rayleigh-Bénard convection with stochastic forcing localised near the bottom.
• A. Joye: Adiabatic Lindbladian Evolution with Small Dissipators. Commun. Math. Phys. 391, 223-267 (2022).
• A. Dymov, S. Kuksin: Formal expansion in stochastic model for wave turbulence 1: kinetic limit. Commun. Math. Phys. 382, 951-1014 (2021).
• A. Dymov, S. Kuksin: Formal expansion in stochastic model for wave turbulence 2: method of diagram decomposition. J. Stat. Phys. 190, 3 (2023)
• S. Kuksin: Kolmogorov’s theory of turbulence and its rigorous 1d model. Annales Mathématiques du Québec 46, 181-193 (2021).
• P.-M. Boulvard, P. Gao and V. Nersesyan: Controllability and ergodicity of 3D primitive equations driven by a finite-dimensional force.
• V. Nersesyan: The complex Ginzburg-Landau 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.
• Y. Pautrat, S. Wang: Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras.
• A. Djurdjevac, A. Shirikyan: Stabilisation of a viscous conservation law by a one-dimensional external force.
• V. Jakšić, C.-A. Pillet, C. Tauber: Approach to equilibrium in translation-invariant quantum systems: some structural results.
• V. Jakšić, C.-A. Pillet, C. Tauber: A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems.
• J.-F. Bougron, A. Joye, C.-A. Pillet: Markovian Repeated Interaction Quantum Systems. Rev. Math. Phys. 33, 2250028 (2022).
• G. Cristadoro, M. Degli Esposti, V. Jakšić, R. Raquépas: Recurrence times, waiting times and universal entropy production estimators.
• G. Cristadoro, M. Degli Esposti, V. Jakšić, R. Raquépas: On a waiting-time result of Kontoyiannis: mixing or decoupling?