Ergodicity of the 2D Navier--Stokes Equations??with Random Forcing, Communications in Mathematical Physics, vol.224, issue.1, pp.65-81, 2001. ,
DOI : 10.1007/s002200100510
Enstrophy dissipation in two-dimensional turbulence, Physical Review E, vol.72, issue.5, pp.56314-56321, 2005. ,
DOI : 10.1103/PhysRevE.72.056314
URL : http://arxiv.org/abs/cond-mat/0505643
Estimates for solutions of a low-viscosity kick-forced generalized Burgers equation, Proc. Roy. Soc. Edinburgh Sect. A, vol.143, issue.2, pp.253-268, 2013. ,
Asymptotic Properties of Markoff Transition Probabilities, Transactions of the American Mathematical Society, vol.63, issue.3, pp.393-421, 1948. ,
DOI : 10.2307/1990566
Ergodicity for Infinite Dimensional Systems, 1996. ,
DOI : 10.1017/CBO9780511662829
Non-Equilibrium Statistical Mechanics??of Strongly Anharmonic Chains of Oscillators, Communications in Mathematical Physics, vol.212, issue.1, pp.105-164, 2000. ,
DOI : 10.1007/s002200000216
Entropy production in nonlinear, thermally driven Hamiltonian systems, J. Statist. Phys, vol.95, issue.12, pp.305-331, 1999. ,
Equilibrium microstates which generate second law violating steady states, Physical Review E, vol.50, issue.2, pp.1645-1648, 1994. ,
DOI : 10.1103/PhysRevE.50.1645
Time-reversed dynamical entropy and irreversibility in markovian random processes, J. Statist. Phys, vol.117, pp.3-4, 2004. ,
DOI : 10.1007/s10955-004-3455-1
Dynamical ensembles in stationary states, Journal of Statistical Physics, vol.78, issue.3, pp.5-6, 1995. ,
DOI : 10.1007/BF02179860
URL : http://arxiv.org/abs/chao-dyn/9501015
A large deviation principle for 2D stochastic Navier? Stokes equation, Stochastic Process, Appl, vol.117, issue.7, pp.904-927, 2007. ,
DOI : 10.1016/j.spa.2006.11.001
URL : http://doi.org/10.1016/j.spa.2006.11.001
The Theory of Stochastic Processes . I, 1980. ,
The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I. Compactness methods, Phys, pp.3-4, 1996. ,
Large deviations from a stationary measure for a class of dissipative PDE's with random kicks, 2012. ,
Entropic fluctuations in statistical mechanics: I. Classical dynamical systems, Nonlinearity, vol.24, issue.3, pp.699-763, 2011. ,
DOI : 10.1088/0951-7715/24/3/003
The Cauchy problem for certain classes of quasilinear parabolic equations, Mat. Zametki, vol.6, pp.295-300, 1969. ,
Mathematics of Two-Dimensional Turbulence ,
DOI : 10.1017/CBO9781139137119
Fluctuation theorem for stochastic dynamics, Journal of Physics A: Mathematical and General, vol.31, issue.16, pp.3719-3729, 1998. ,
DOI : 10.1088/0305-4470/31/16/003
Thermodynamic formalism for systems with Markov dynamics, J. Stat. Phys, vol.127, issue.1, pp.51-106, 2007. ,
A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics, Journal of Statistical Physics, vol.95, issue.1/2, pp.333-365, 1999. ,
DOI : 10.1023/A:1004589714161
The fluctuation theorem as a Gibbs property, Journal of Statistical Physics, vol.95, issue.1/2, pp.367-392, 1999. ,
DOI : 10.1023/A:1004541830999
Valeurs propres d'opérateurs définis par la restriction de systèmes variationnelsàvariationnelsà des sous-espaces, J. Math. Pures Appl, vol.57, issue.9 2, pp.133-156, 1978. ,
Time-reversal and entropy, Journal of Statistical Physics, vol.110, issue.1/2, pp.269-310, 2003. ,
DOI : 10.1023/A:1021026930129
From global to local fluctuation theorems, Mosc. Math. J, vol.1, issue.3, pp.421-438, 2001. ,
Hahn decomposition and Radon-Nikodym theorem with a parameter, 2005. ,
Fluctuations in nonequilibrium statistical mechanics: models, mathematical theory, physical mechanisms, Nonlinearity, vol.20, issue.10, pp.1-37, 2007. ,
DOI : 10.1088/0951-7715/20/10/R01
Fluctuations of the Entropy Production in Anharmonic Chains, Annales Henri Poincar??, vol.3, issue.3, pp.483-502, 2002. ,
DOI : 10.1007/s00023-002-8625-6
Entropy Production in Nonequilibrium Statistical Mechanics, Communications in Mathematical Physics, vol.189, issue.2, pp.365-371, 1997. ,
DOI : 10.1007/s002200050207
Partial Differential Equations. I?III, pp.1996-97 ,
Infinite-Dimensional Dynamical Systems in Mechanics and Physics, 1988. ,
Local existence and nonexistence for semilinear parabolic equations in L p , Indiana Univ, Math. J, vol.29, issue.1, pp.79-102, 1980. ,
Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems ,
The ergodic principle for Markov processes with stationary distributions, Doklady Akad, Nauk SSSR (N.S.), vol.56, pp.347-349, 1947. ,