


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. 133151
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. 523565 Published version
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Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise
Nonlinearity 15 (2002), no 2, pp. 271279
Published version
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Exponential Mixing Properties of Stochastic PDEs Through Asymptotic Coupling
Probab. Theory Rel. Fields 124 (2002), no. 3, pp. 345380 Published version
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Stationary solutions for a model of amorphous thinfilm growth
Written in collaboration with
D. Blömker.
Stochastic Analysis and Applications 22 (2004), no. 4, pp. 903922
Published version
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Coupling stochastic PDEs
XIVth International Congress on Mathematical Physics (2005), pp. 281289
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Amplitude Equations for SPDEs: Approximate Centre Manifolds and Invariant Measures
Written in collaboration with
D. Blömker.
Proceedings of the IMA, (2004)
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Multiscale expansion of invariant measures for SPDEs
Written in collaboration with
D. Blömker.
Commun. Math. Phys. 251 (2004), no 3, pp. 515555 Published version
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Ergodicity of the 2D NavierStokes Equations with Degenerate Stochastic Forcing
Written in collaboration with
J. Mattingly.
Annals of Maths 164 (2006), no 3, pp. 9931032 Published version
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Modulation Equations: Stochastic Bifurcation in Large Domains
Written in collaboration with
D. Blömker and
G. Pavliotis.
Commun. Math. Phys. 258 (2005), no 2, pp. 479512 Published version
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Malliavin calculus for highly degenerate 2D stochastic NavierStokes equations
Written in collaboration with
J. Mattingly and
E. Pardoux.
C. R. Acad. Sci. Paris, Ser. I 339 (2004), no. 11, pp. 793796 Published version
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Ergodic properties of highly degenerate 2D stochastic NavierStokes equations
Written in collaboration with
J. Mattingly.
C. R. Acad. Sci. Paris, Ser. I 339 (2004), no. 12, pp. 879882 Published version
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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. 587603 Published version
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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. 16571706 Published version
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A Bayesian Approach to Data Assimilation
Written in collaboration with A. Apte,
A. M. Stuart and
J. Voß.
Physica D 230 (2007), pp.5064 Published version
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Spectral gaps in Wasserstein distances and the 2D stochastic NavierStokes equations
Written in collaboration with
J. Mattingly.
Ann. Probab. 36 (2008), no 6, pp. 20502091
Published version
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Multiscale Analysis for SPDEs with Quadratic Nonlinearities
Written in collaboration with
D. Blömker and
G. Pavliotis.
Nonlinearity 20 (2007), no. 7, pp. 17211744 Published version
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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. 159186
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A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs
Written in collaboration with
J. Mattingly.
Electr. Journ. Probab. 16 (2011), pp. 658738 Published version
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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)
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Sampling Conditioned Hypoelliptic Diffusions
Written in collaboration with
A. M. Stuart and
J. Voß.
Ann. Appl. Probab. 21 (2012), no. 2, pp. 669698 Published version
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Hypoellipticity in Infinite Dimensions
Proceedings of ISAAC 09 (2009)
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Singular perturbations to semilinear stochastic heat equations
Probab. Theory Rel. Fields 152 (2012), no. 12, pp. 265297 Published version
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Approximations to the Stochastic Burgers equation
Written in collaboration with
J. Voß.
Journ. Nonlin. Sci. 12 (2011), no 6, pp. 897920 Published version
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Rough Stochastic PDEs
Commun. Pure Appl. Math.
64 (2011), no 11, pp. 15471585 Published version
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Stochastic PDEs with multiscale structure
Written in collaboration with D. Kelly.
Electr. Journ. Probab. 17 (2012), no. 52, pp. 138 Published version
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A spatial version of the ItôStratonovich correction
Written in collaboration with
J. Maas.
Ann. Probab. 40 (2012), no 4, pp. 16751714
Published version
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Rough Burgerslike equations with multiplicative noise
Written in collaboration with
H. Weber.
Probab. Theory Rel. Fields 155 (2013), no. 1, pp. 71126 Published version
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Solving the KPZ equation
Annals of Maths 178 (2013), no. 2, pp. 559664 Published version
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Triviality of the 2D stochastic AllenCahn equation
Written in collaboration with
H. Weber and M. Ryser.
Electr. Journ. Probab. 17 (2012), no. 39, pp. 114 Published version
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Approximating rough stochastic PDEs
Written in collaboration with J. Maas and
H. Weber.
Commun. Pure Appl. Math.
67 (2014), no 5, pp. 776870 Published version
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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. 571605 Published version
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A theory of regularity structures
Invent. Math. 198 (2014), no. 2, pp. 269504 Published version
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Introduction to Regularity Structures
Braz. Jour. Prob. Stat. 29 (2015), no. 2, pp. 175210
Published version
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Singular stochastic PDEs
Proceedings of the ICM (2014)
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Large deviations for whitenoise 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. 5592
Published version
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A WongZakai theorem for stochastic PDEs
Written in collaboration with
E. Pardoux.
J. Math. Soc. Japan 67 (2015), no. 4, pp. 15511604
Published version
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The dynamical sineGordon model
Written in collaboration with H. Shen.
Comm. Math. Phys. 341 (2016), no. 3, pp. 933989
Published version
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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
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Optimal rate of convergence for stochastic Burgerstype equations
Written in collaboration with K. Matetski.
Stoch. Partial Differ. Equ. Anal. Comput. 4 (2016), no. 2, pp. 402437
Published version
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Multiplicative stochastic heat equations on the whole space
Written in collaboration with C. Labbé.
Preprint (2015)
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A central limit theorem for the KPZ equation
Written in collaboration with H. Shen.
Preprint (2015)
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Discretisations of rough stochastic PDEs
Written in collaboration with K. Matetski.
Preprint (2015)
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A class of growth models rescaling to KPZ
Written in collaboration with J. Quastel.
Preprint (2015)
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Large scale behaviour of 3D phase coexistence models
Written in collaboration with W. Xu.
Preprint (2016)
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The motion of a random string
Preprint (2016)
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The reconstruction theorem in Besov spaces
Written in collaboration with C. Labbé.
Preprint (2016)
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The strong Feller property for singular stochastic PDEs
Written in collaboration with J. Mattingly.
Preprint (2016)
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