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Stochastic Partial Differential Equations Comportement Asymptotique d'Équations à Dérivées Partielles StochastiquesPhD Thesis, Univ. of Geneva (2001) Under the direction of J.-P. Eckmann PDF File Invariant Measures for Stochastic PDE's in Unbounded Domains Written in collaboration with J.-P. Eckmann. Nonlinearity 14 (2001), no 1, pp. 133-151 Link to published version PDF File Uniqueness of the Invariant Measure for a Stochastic PDE Driven by Degenerate Noise Written in collaboration with J.-P. Eckmann. Commun. Math. Phys. 219 (2001), no 3, pp. 523-565 Published version on LINK PDF File Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise Nonlinearity 15 (2002), no 2, pp. 271-279 Published version PDF File Exponential Mixing Properties of Stochastic PDEs Through Asymptotic Coupling Probab. Theory Relat. Fields 124 (2002), no. 3, pp. 345-380 Published version on LINK PDF File Stationary solutions for a model of amorphous thin-film growth Written in collaboration with D. Blömker. Stochastic Analysis and Applications 22 (2004), no. 4, pp. 903-922 Published version PDF File Coupling stochastic PDEs XIVth International Congress on Mathematical Physics (2005), pp. 281-289 PDF File Amplitude Equations for SPDEs: Approximate Centre Manifolds and Invariant Measures Proceedings of the IMA, (2004) Written in collaboration with D. Blömker. PDF File Multiscale expansion of invariant measures for SPDEs Commun. Math. Phys. 251 (2004), no 3, pp. 515-555 Published version on LINK Written in collaboration with D. Blömker. PDF File Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing Annals of Maths. 164 (2006), no 3, pp. 993-1032 Published version Written in collaboration with J. Mattingly. PDF File Modulation Equations: Stochastic Bifurcation in Large Domains Commun. Math. Phys. 258 (2005), no 2, pp. 479-512 Published version on LINK Written in collaboration with D. Blömker and G. Pavliotis. PDF File Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations C. R. Acad. Sci. Paris, Ser. I 339 (2004), no. 11, pp. 793-796 Published version Written in collaboration with J. Mattingly and E. Pardoux. PDF File Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations C. R. Acad. Sci. Paris, Ser. I 339 (2004), no. 12, pp. 879-882 Published version Written in collaboration with J. Mattingly. PDF File Analysis of SPDEs Arising in Path Sampling Part I: The Gaussian Case Comm. Math. Sci. 3 (2005), no. 4, pp. 587-603 Published version Written in collaboration with A. M. Stuart, J. Voß, and P. Wiberg. PDF File Analysis of SPDEs Arising in Path Sampling Part II: The Nonlinear Case Ann. Appl. Probab. 17 (2007), no. 5/6, pp. 1657-1706 Published version Written in collaboration with A. M. Stuart and J. Voß. PDF File A Bayesian Approach to Data Assimilation Physica D 230 (2007), pp.50-64 Published version Written in collaboration with A. Apte, A. M. Stuart and J. Voß. PDF File Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations Written in collaboration with J. Mattingly. Preprint (2006) PDF File Multiscale Analysis for SPDEs with Quadratic Nonlinearities Nonlinearity 20 (2007), no. 7, pp. 1721-1744 Published version Written in collaboration with D. Blömker and G. Pavliotis. PDF File Sampling Conditioned Diffusions Written in collaboration with A. M. Stuart and J. Voß. Preprint (2007) PDF File |