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Stochastic Partial Differential Equations
Comportement Asymptotique d'Équations à Dérivées Partielles Stochastiques
PhD Thesis, Univ. of Geneva (2001) Under the direction of J.-P. Eckmann
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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
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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
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Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise
Nonlinearity 15 (2002), no 2, pp. 271-279
Published version
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Exponential Mixing Properties of Stochastic PDEs Through Asymptotic Coupling
Probab. Theory Relat. Fields 124 (2002), no. 3, pp. 345-380 Published version on LINK
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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
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Coupling stochastic PDEs
XIVth International Congress on Mathematical Physics (2005), pp. 281-289
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Amplitude Equations for SPDEs: Approximate Centre Manifolds and Invariant Measures
Proceedings of the IMA, (2004)
Written in collaboration with
D. Blömker.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
Written in collaboration with
J. Mattingly.
Preprint (2006)
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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.
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Sampling Conditioned Diffusions
Written in collaboration with
A. M. Stuart and
J. Voß.
Preprint (2007)
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