Ergodic Theory of Infinite Dimensional Systems¶with Applications to Dissipative Parabolic PDEs

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Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations (2009, background): “For the problem at hand, it seems however more appropriate and technically straightforward to consider a “binding construction” in the terminology of [ MY02 , Hai02, Mat02b].”
A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs (2008, methodology): “This was the case in [EMS01, KS00, BKL01, MY02 , Mat02, Hai02, BM05].”
Coupling approach to white-forced nonlinear PDEs (2002, result): “Independently similar results were obtained by N. Masmoudi and L.-S. Young in [ MY02 ].”
Exponential ergodicity and regularity for equations with Lévy noise (2011, background): “We refer the reader to [16, 21, 37] for discrete-time random perturbations, to [14, 12, 17, 38, 25] for a white noise, to [23] for a compound Poisson process, and to the book [18] for further references on this subject.”