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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 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 Rel. Fields 124 (2002), no. 3, pp. 345-380 Published version 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 Written in collaboration with D. Blömker. Proceedings of the IMA, (2004) PDF File Multiscale expansion of invariant measures for SPDEs Written in collaboration with D. Blömker. Commun. Math. Phys. 251 (2004), no 3, pp. 515-555 Published version PDF File Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing Written in collaboration with J. Mattingly. Annals of Maths 164 (2006), no 3, pp. 993-1032 Published version PDF File Modulation Equations: Stochastic Bifurcation in Large Domains Written in collaboration with D. Blömker and G. Pavliotis. Commun. Math. Phys. 258 (2005), no 2, pp. 479-512 Published version PDF File Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations Written in collaboration with J. Mattingly and E. Pardoux. C. R. Acad. Sci. Paris, Ser. I 339 (2004), no. 11, pp. 793-796 Published version PDF File Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations Written in collaboration with J. Mattingly. C. R. Acad. Sci. Paris, Ser. I 339 (2004), no. 12, pp. 879-882 Published version PDF File Analysis of SPDEs Arising in Path Sampling Part I: The Gaussian Case Written in collaboration with A. M. Stuart, J. Voß, and P. Wiberg. Comm. Math. Sci. 3 (2005), no. 4, pp. 587-603 Published version PDF File Analysis of SPDEs Arising in Path Sampling Part II: The Nonlinear Case Written in collaboration with A. M. Stuart and J. Voß. Ann. Appl. Probab. 17 (2007), no. 5/6, pp. 1657-1706 Published version PDF File A Bayesian Approach to Data Assimilation Written in collaboration with A. Apte, A. M. Stuart and J. Voß. Physica D 230 (2007), pp.50-64 Published version PDF File Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations Written in collaboration with J. Mattingly. Ann. Probab. 36 (2008), no 6, pp. 2050-2091 Published version PDF File Multiscale Analysis for SPDEs with Quadratic Nonlinearities Written in collaboration with D. Blömker and G. Pavliotis. Nonlinearity 20 (2007), no. 7, pp. 1721-1744 Published version PDF File Sampling Conditioned Diffusions Written in collaboration with A. M. Stuart and J. Voß. In Trends in Stochastic Analysis, Cambridge University Press, vol. 353 of LMS Lecture Note Series (2009), pp. 159-186 PDF File A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs Written in collaboration with J. Mattingly. Electr. Journ. Probab. 16 (2011), pp. 658-738 Published version PDF File Signal Processing Problems on Function Space: Bayesian Formulation, Stochastic PDEs and Effective MCMC Methods Written in collaboration with A. M. Stuart and J. Voß. Preprint (2009) PDF File Sampling Conditioned Hypoelliptic Diffusions Written in collaboration with A. M. Stuart and J. Voß. Ann. Appl. Probab. 21 (2012), no. 2, pp. 669-698 Published version PDF File Hypoellipticity in Infinite Dimensions Proceedings of ISAAC 09 (2009) PDF File Singular perturbations to semilinear stochastic heat equations Probab. Theory Rel. Fields 152 (2012), no. 1-2, pp. 265-297 Published version PDF File Approximations to the Stochastic Burgers equation Written in collaboration with J. Voß. Journ. Nonlin. Sci. 12 (2011), no 6, pp. 897-920 Published version PDF File Rough Stochastic PDEs Commun. Pure Appl. Math. 64 (2011), no 11, pp. 1547-1585 Published version PDF File Stochastic PDEs with multiscale structure Written in collaboration with D. Kelly. Electr. Journ. Probab. 17 (2012), no. 52, pp. 1-38 Published version PDF File A spatial version of the Itô-Stratonovich correction Written in collaboration with J. Maas. Ann. Probab. 40 (2012), no 4, pp. 1675-1714 Published version PDF File Rough Burgers-like equations with multiplicative noise Written in collaboration with H. Weber. Probab. Theory Rel. Fields 155 (2013), no. 1, pp. 71-126 Published version PDF File Solving the KPZ equation Annals of Maths 178 (2013), no. 2, pp. 559-664 Published version PDF File Triviality of the 2D stochastic Allen-Cahn equation Written in collaboration with H. Weber and M. Ryser. Electr. Journ. Probab. 17 (2012), no. 39, pp. 1-14 Published version PDF File Approximating rough stochastic PDEs Written in collaboration with J. Maas and H. Weber. Commun. Pure Appl. Math. 67 (2014), no 5, pp. 776-870 Published version PDF File Random homogenisation of a highly oscillatory singular potential Written in collaboration with E. Pardoux and A. Piatnitski. SPDEs: Anal. Comp. 1 (2013), no. 4, pp. 571-605 Published version PDF File A theory of regularity structures Invent. Math. 198 (2014), no. 2, pp. 269-504 Published version PDF File Introduction to Regularity Structures Braz. Jour. Prob. Stat. 29 (2015), no. 2, pp. 175-210 Published version PDF File Singular stochastic PDEs Proceedings of the ICM (2014) PDF File Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions Written in collaboration with H. Weber. Ann. Fac. Sci. Toulouse Math. (6) 24 (2015), no. 1, pp. 55-92 Published version PDF File A Wong-Zakai theorem for stochastic PDEs Written in collaboration with E. Pardoux. J. Math. Soc. Japan 67 (2015), no. 4, pp. 1551-1604 Published version PDF File The dynamical sine-Gordon model Written in collaboration with H. Shen. Comm. Math. Phys. 341 (2016), no. 3, pp. 933-989 Published version PDF File A simple construction of the continuum parabolic Anderson model on R^2 Written in collaboration with C. Labbé. Electron. Commun. Probab. 20 (2015), no. 43, 11 pp Published version PDF File Optimal rate of convergence for stochastic Burgers-type equations Written in collaboration with K. Matetski. Stoch. Partial Differ. Equ. Anal. Comput. 4 (2016), no. 2, pp. 402-437 Published version PDF File Multiplicative stochastic heat equations on the whole space Written in collaboration with C. Labbé. Preprint (2015) PDF File A central limit theorem for the KPZ equation Written in collaboration with H. Shen. Preprint (2015) PDF File Discretisations of rough stochastic PDEs Written in collaboration with K. Matetski. Preprint (2015) PDF File A class of growth models rescaling to KPZ Written in collaboration with J. Quastel. Preprint (2015) PDF File Large scale behaviour of 3D phase coexistence models Written in collaboration with W. Xu. Preprint (2016) PDF File The motion of a random string Preprint (2016) PDF File The reconstruction theorem in Besov spaces Written in collaboration with C. Labbé. Preprint (2016) PDF File The strong Feller property for singular stochastic PDEs Written in collaboration with J. Mattingly. Preprint (2016) PDF File |