Publications

Scaling limit of the KPZ equation with non-integrable spatial correlations

L. Gerolla; M. Hairer; X-M. Li

2024

Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise

M. Hairer; T. Rosati

Annals Of Pde. 2024. Vol. 10, num. 1, p. 3. DOI : 10.1007/s40818-023-00165-6.

Stochastic quantisation of Yang-Mills-Higgs in 3D

A. Chandra; I. Chevyrev; M. Hairer; H. Shen

INVENTIONES MATHEMATICAE. 2024. Vol. 237, num. 2, p. 541 – 696. DOI : 10.1007/s00222-024-01264-2.

The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

M. Hairer; R. Steele

Archive For Rational Mechanics And Analysis. 2024. Vol. 248, num. 1, p. 9. DOI : 10.1007/s00205-023-01946-w.

Renormalisation in the presence of variance blowup

2024

Periodic space-time homogenisation of the $φ^4_2$ equation

M. Hairer; H. Singh

2023

Lp-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

B-S. Han; J. Yi

Journal Of Differential Equations. 2023. Vol. 379, p. 569 – 599. DOI : 10.1016/j.jde.2023.10.042.

Directed mean curvature flow in noisy environment

A. Gerasimovics; M. Hairer; K. Matetski

Communications On Pure And Applied Mathematics. 2023. Vol. 77, num. 3, p. 1850 – 1939. DOI : 10.1002/cpa.22158.

A scaling limit of the parabolic Anderson model with exclusion interaction

D. Erhard; M. Hairer

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 2023. Vol. 77, num. 2, p. 1065 – 1125. DOI : 10.1002/cpa.22145.

Regularity Structures on Manifolds and Vector Bundles

M. Hairer; H. Singh

2023

A Stroll Around The Critical Potts Model

Bulletin Of The American Mathematical Society. 2023. DOI : 10.1090/bull/1802.

Spectral gap for projective processes of linear SPDEs

M. Hairer; T. Rosati

2023

A Dynamical Yukawa$_{2}$ Model

A. Chandra; M. Hairer; M. Peev

2023

The Allen-Cahn equation with generic initial datum

M. Hairer; K. Le; T. Rosati

Probability Theory And Related Fields. 2023. DOI : 10.1007/s00440-023-01198-5.

Fluctuations of stochastic PDEs with long-range correlations

L. Gerolla; M. Hairer; X-M. Li

2023

THE COMPACT SUPPORT PROPERTY FOR SOLUTIONS TO THE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH COLORED NOISE

B-S. Han; K. Kim; J. Yi

Siam Journal On Mathematical Analysis. 2023. Vol. 55, num. 6, p. 7665 – 7703. DOI : 10.1137/23M1557283.

The Brownian Web as a random R-tree

G. Cannizzaro; M. Hairer

Electronic Journal Of Probability. 2023. Vol. 28. DOI : 10.1214/23-EJP984.

The Brownian Castle

G. Cannizzaro; M. Hairer

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 2022. Vol. 76, num. 10, p. 2693 – 2764. DOI : 10.1002/cpa.22085.

Boundary renormalisation of SPDEs

M. Gerencser; M. Hairer

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 2022. Vol. 47, num. 10, p. 2070 – 2123. DOI : 10.1080/03605302.2022.2109173.

Generating Diffusions with Fractional Brownian Motion

M. Hairer; X-M. Li

COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2022. Vol. 396, num. 1, p. 91 – 141. DOI : 10.1007/s00220-022-04462-2.

The work of Hugo Duminil-Copin

2022

Langevin dynamic for the 2D Yang-Mills measure

A. Chandra; I. Chevyrev; M. Hairer; H. Shen

PUBLICATIONS MATHEMATIQUES DE L IHES. 2022. Vol. 136, num. 1, p. 1 – 147. DOI : 10.1007/s10240-022-00132-0.

The Φ₃⁴ Measure Has Sub-Gaussian Tails

M. Hairer; R. Steele

JOURNAL OF STATISTICAL PHYSICS. 2022. Vol. 186, num. 3. DOI : 10.1007/s10955-021-02866-3.

The support of singular stochastic partial differential equations

M. Hairer; P. Schonbauer

FORUM OF MATHEMATICS PI. 2022. Vol. 10. DOI : 10.1017/fmp.2021.18.

Geometric Stochastic Heat Equations

Y. Bruned; F. Gabriel; M. Hairer; L. Zambotti

Journal Of The American Mathematical Society. 2022. Vol. 35, num. 1, p. 1 – 80. DOI : 10.1090/jams/977.

M. Coti Zelati; M. Hairer

A Noise-Induced Transition in the Lorenz System

COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2021. Vol. 383, num. 3, p. 2243 – 2274. DOI : 10.1007/s00220-021-04000-6.

Renormalising SPDEs in regularity structures

Y. Bruned; A. Chandra; I. Chevyrev; M. Hairer

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. 2021. Vol. 23, num. 3, p. 869 – 947. DOI : 10.4171/JEMS/1025.

Fluctuations Around a Homogenised Semilinear Random PDE

M. Hairer; E. Pardoux

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. 2020. Vol. 239, num. 1, p. 151 – 217. DOI : 10.1007/s00205-020-01574-8.

AVERAGING DYNAMICS DRIVEN BY FRACTIONAL BROWNIAN MOTION

M. Hairer; X-M. Li

ANNALS OF PROBABILITY. 2020. Vol. 48, num. 4, p. 1826 – 1860. DOI : 10.1214/19-AOP1408.

Introduction

F. Flandoli; M. Gubinelli; M. Hairer

2019.

LARGE SCALE LIMIT OF INTERFACE FLUCTUATION MODELS

M. Hairer; W. Xu

ANNALS OF PROBABILITY. 2019. Vol. 47, num. 6, p. 3478 – 3550. DOI : 10.1214/18-AOP1317.

Discretisation of regularity structures

D. Erhard; M. Hairer

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 2019. Vol. 55, num. 4, p. 2209 – 2248. DOI : 10.1214/18-AIHP947.

A Solution Theory for Quasilinear Singular SPDEs

M. Gerencser; M. Hairer

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 2019. Vol. 72, num. 9, p. 1983 – 2005. DOI : 10.1002/cpa.21816.

Singular SPDEs in domains with boundaries

M. Gerencser; M. Hairer

PROBABILITY THEORY AND RELATED FIELDS. 2019. Vol. 173, num. 3-4, p. 697 – 758. DOI : 10.1007/s00440-018-0841-1.

Algebraic renormalisation of regularity structures

Y. Bruned; M. Hairer; L. Zambotti

INVENTIONES MATHEMATICAE. 2019. Vol. 215, num. 3, p. 1039 – 1156. DOI : 10.1007/s00222-018-0841-x.

A. Gerasimovics; M. Hairer

Hormander’s theorem for semilinear SPDEs

ELECTRONIC JOURNAL OF PROBABILITY. 2019. Vol. 24. DOI : 10.1214/19-EJP387.

A CLASS OF GROWTH MODELS RESCALING TO KPZ

M. Hairer; J. Quastel

FORUM OF MATHEMATICS PI. 2018. Vol. 6. DOI : 10.1017/fmp.2018.2.

Renormalisation of parabolic stochastic PDEs

JAPANESE JOURNAL OF MATHEMATICS. 2018. Vol. 13, num. 2, p. 187 – 233. DOI : 10.1007/s11537-018-1742-x.

The dynamical sine-Gordon model in the full subcritical regime

A. Chandra; M. Hairer; H. Shen

2018

The strong Feller property for singular stochastic PDEs

M. Hairer; J. Mattingly

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 2018. Vol. 54, num. 3, p. 1314 – 1340. DOI : 10.1214/17-AIHP840.

DISCRETISATIONS OF ROUGH STOCHASTIC PDES

M. Hairer; K. Matetski

ANNALS OF PROBABILITY. 2018. Vol. 46, num. 3, p. 1651 – 1709. DOI : 10.1214/17-AOP1212.

Tightness of the Ising-Kac Model on the Two-Dimensional Torus

M. Hairer; M. Iberti

JOURNAL OF STATISTICAL PHYSICS. 2018. Vol. 171, num. 4, p. 632 – 655. DOI : 10.1007/s10955-018-2033-x.

Large-Scale Behavior of Three-Dimensional Continuous Phase Coexistence Models

M. Hairer; W. Xu

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 2018. Vol. 71, num. 4, p. 688 – 746. DOI : 10.1002/cpa.21738.

A FRACTIONAL KINETIC PROCESS DESCRIBING THE INTERMEDIATE TIME BEHAVIOUR OF CELLULAR FLOWS

M. Hairer; G. Iyer; L. Koralov; A. Novikov; Z. Pajor-Gyulai

ANNALS OF PROBABILITY. 2018. Vol. 46, num. 2, p. 897 – 955. DOI : 10.1214/17-AOP1196.

An analyst’s take on the BPHZ theorem

2018. The Abel Symposium, Rosendal, Norway, 2016-08-16 – 2016-08-19. p. 429 – 476. DOI : 10.1007/978-3-030-01593-0_16.

Non-equilibrium steady states for networks of oscillators

N. Cuneo; J. P. Eckmann; M. Hairer; L. Rey-Bellet

Electronic Journal of Probability. 2018. Vol. 23, num. 55, p. 1 – 28. DOI : 10.1214/18-EJP177.

Multiplicative stochastic heat equations on the whole space

M. Hairer; C. Labbe

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. 2018. Vol. 20, num. 4, p. 1005 – 1054. DOI : 10.4171/JEMS/781.

WEAK ERROR ESTIMATES FOR TRAJECTORIES OF SPDEs UNDER SPECTRAL GALERKIN DISCRETIZATION

C-E. Brehier; M. Hairer; A. M. Stuart

JOURNAL OF COMPUTATIONAL MATHEMATICS. 2018. Vol. 36, num. 2, p. 159 – 182. DOI : 10.4208/jcm.1607-m2016-0539.

A CENTRAL LIMIT THEOREM FOR THE KPZ EQUATION

M. Hairer; H. Shen

ANNALS OF PROBABILITY. 2017. Vol. 45, num. 6B, p. 4167 – 4221. DOI : 10.1214/16-AOP1162.

The reconstruction theorem in Besov spaces

M. Hairer; C. Labbe

JOURNAL OF FUNCTIONAL ANALYSIS. 2017. Vol. 273, num. 8, p. 2578 – 2618. DOI : 10.1016/j.jfa.2017.07.002.

An analytic BPHZ theorem for regularity structures

A. Chandra; M. Hairer

2016

From averaging to homogenization in cellular flows – An exact description of the transition

M. Hairer; L. Koralov; Z. Pajor-Gyulai

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 2016. Vol. 52, num. 4, p. 1592 – 1613. DOI : 10.1214/15-AIHP690.

Optimal rate of convergence for stochastic burgers-type equations

M. Hairer; K. Matetski

Stochastics and Partial Differential Equations: Analysis and Computations. 2016. Vol. 4, num. 2, p. 402 – 437. DOI : 10.1007/s40072-015-0067-5.

The motion of a random string

2016

The Dynamical Sine-Gordon Model

M. Hairer; H. Shen

COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2016. Vol. 341, num. 3, p. 933 – 989. DOI : 10.1007/s00220-015-2525-3.

Large scale behaviour of 3D continuous phase coexistence models

M. Hairer; W. Xu

2016

A Wong-Zakai theorem for stochastic PDEs

M. Hairer; E. Pardoux

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 2015. Vol. 67, num. 4, p. 1551 – 1604. DOI : 10.2969/jmsj/06741551.

Regularity structures and the dynamical $Φ^4_3$ model

2015

A simple construction of the continuum parabolic Anderson model on R²

M. Hairer; C. Labbe

ELECTRONIC COMMUNICATIONS IN PROBABILITY. 2015. Vol. 20, p. 1 – 11. DOI : 10.1214/ECP.v20-4038.

Introduction to regularity structures

BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS. 2015. Vol. 29, num. 2, p. 175 – 210. DOI : 10.1214/14-BJPS241.

LOSS OF REGULARITY FOR KOLMOGOROV EQUATIONS

M. Hairer; M. Hutzenthaler; A. Jentzen

ANNALS OF PROBABILITY. 2015. Vol. 43, num. 2, p. 468 – 527. DOI : 10.1214/13-AOP838.

Exponential ergodicity for Markov processes with random switching

B. Cloez; M. Hairer

BERNOULLI. 2015. Vol. 21, num. 1, p. 505 – 536. DOI : 10.3150/13-BEJ577.

Geometric versus non-geometric rough paths

M. Hairer; D. Kelly

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 2015. Vol. 51, num. 1, p. 207 – 251. DOI : 10.1214/13-AIHP564.

The Brownian Fan

M. Hairer; J. Weare

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 2015. Vol. 68, num. 1, p. 1 – 60. DOI : 10.1002/cpa.21544.

SMOOTHNESS OF THE DENSITY FOR SOLUTIONS TO GAUSSIAN ROUGH DIFFERENTIAL EQUATIONS

T. Cass; M. Hairer; C. Litterer; S. Tindel

ANNALS OF PROBABILITY. 2015. Vol. 43, num. 1, p. 188 – 239. DOI : 10.1214/13-AOP896.

Improved Diffusion Monte Carlo

M. Hairer; J. Weare

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 2014. Vol. 67, num. 12, p. 1995 – 2021. DOI : 10.1002/cpa.21526.

SPECTRAL GAPS FOR A METROPOLIS-HASTINGS ALGORITHM IN INFINITE DIMENSIONS

M. Hairer; A. M. Stuart; S. J. Vollmer

ANNALS OF APPLIED PROBABILITY. 2014. Vol. 24, num. 6, p. 2455 – 2490. DOI : 10.1214/13-AAP982.

A theory of regularity structures

INVENTIONES MATHEMATICAE. 2014. Vol. 198, num. 2, p. 269 – 504. DOI : 10.1007/s00222-014-0505-4.

Approximating Rough Stochastic PDEs

M. Hairer; J. Maas; H. Weber

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 2014. Vol. 67, num. 5, p. 776 – 870. DOI : 10.1002/cpa.21495.

Singular stochastic PDEs

2014

Random homogenisation of a highly oscillatory singular potential

M. Hairer; E. Pardoux; A. Piatnitski

Stochastics and Partial Differential Equations: Analysis and Computations. 2013. Vol. 1, num. 4, p. 571 – 605. DOI : 10.1007/s40072-013-0018-y.

Solving the KPZ equation

ANNALS OF MATHEMATICS. 2013. Vol. 178, num. 2, p. 559 – 664. DOI : 10.4007/annals.2013.178.2.4.

REGULARITY OF LAWS AND ERGODICITY OF HYPOELLIPTIC SDES DRIVEN BY ROUGH PATHS

M. Hairer; N. S. Pillai

ANNALS OF PROBABILITY. 2013. Vol. 41, num. 4, p. 2544 – 2598. DOI : 10.1214/12-AOP777.

Rough Burgers-like equations with multiplicative noise

M. Hairer; H. Weber

PROBABILITY THEORY AND RELATED FIELDS. 2013. Vol. 155, num. 1-2, p. 71 – 126. DOI : 10.1007/s00440-011-0392-1.

Nonasymptotic mixing of the MALA algorithm

N. Bou-Rabee; M. Hairer

IMA JOURNAL OF NUMERICAL ANALYSIS. 2013. Vol. 33, num. 1, p. 80 – 110. DOI : 10.1093/imanum/drs003.

Stochastic PDEs with multiscale structure

M. Hairer; D. Kelly

ELECTRONIC JOURNAL OF PROBABILITY. 2012. Vol. 17, p. 1 – 38. DOI : 10.1214/EJP.v17-1807.

A SPATIAL VERSION OF THE ITO-STRATONOVICH CORRECTION

M. Hairer; J. Maas

ANNALS OF PROBABILITY. 2012. Vol. 40, num. 4, p. 1675 – 1714. DOI : 10.1214/11-AOP662.

Triviality of the 2D stochastic Allen-Cahn equation

M. Hairer; M. D. Ryser; H. Weber

ELECTRONIC JOURNAL OF PROBABILITY. 2012. Vol. 17, p. 1 – 14. DOI : 10.1214/EJP.v17-1731.

Singular perturbations to semilinear stochastic heat equations

PROBABILITY THEORY AND RELATED FIELDS. 2012. Vol. 152, num. 1-2, p. 265 – 297. DOI : 10.1007/s00440-010-0322-7.

Approximations to the Stochastic Burgers Equation

M. Hairer; J. Voss

JOURNAL OF NONLINEAR SCIENCE. 2011. Vol. 21, num. 6, p. 897 – 920. DOI : 10.1007/s00332-011-9104-3.

Rough Stochastic PDEs

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 2011. Vol. 64, num. 11, p. 1547 – 1585. DOI : 10.1002/cpa.20383.

On Malliavin’s proof of Hormander’s theorem

BULLETIN DES SCIENCES MATHEMATIQUES. 2011. Vol. 135, num. 6-7, p. 650 – 666. DOI : 10.1016/j.bulsci.2011.07.007.

A chain of interacting particles under strain

M. Allman; V. Betz; M. Hairer

STOCHASTIC PROCESSES AND THEIR APPLICATIONS. 2011. Vol. 121, num. 9, p. 2014 – 2042. DOI : 10.1016/j.spa.2011.05.007.

Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion

M. Hairer; N. S. Pillai

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 2011. Vol. 47, num. 2, p. 601 – 628. DOI : 10.1214/10-AIHP377.

SAMPLING CONDITIONED HYPOELLIPTIC DIFFUSIONS

M. Hairer; A. M. Stuart; J. Voss

ANNALS OF APPLIED PROBABILITY. 2011. Vol. 21, num. 2, p. 669 – 698. DOI : 10.1214/10-AAP708.

PERIODIC HOMOGENIZATION WITH AN INTERFACE: THE MULTI-DIMENSIONAL CASE

M. Hairer; C. Manson

ANNALS OF PROBABILITY. 2011. Vol. 39, num. 2, p. 648 – 682. DOI : 10.1214/10-AOP564.

M. Hairer; J. C. Mattingly; M. Scheutzow

Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations

PROBABILITY THEORY AND RELATED FIELDS. 2011. Vol. 149, num. 1-2, p. 223 – 259. DOI : 10.1007/s00440-009-0250-6.

A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs

Electronic Journal of Probability. 2011. Vol. 16, p. 658 – 738. DOI : 10.1214/EJP.v16-875.

Periodic homogenization with an interface: The one-dimensional case

M. Hairer; C. Manson

STOCHASTIC PROCESSES AND THEIR APPLICATIONS. 2010. Vol. 120, num. 8, p. 1589 – 1605. DOI : 10.1016/j.spa.2010.03.016.

Hypoellipticity in infinite dimensions

2010. 7th International ISAAC Congress, Imperial College London, UK, 2009-07-13 – 2009-07-18. p. 479 – 484. DOI : 10.1142/9789814313179_0062.

A simple framework to justify linear response theory

M. Hairer; A. J. Majda

NONLINEARITY. 2010. Vol. 23, num. 4, p. 909 – 922. DOI : 10.1088/0951-7715/23/4/008.

How Hot Can a Heat Bath Get?

COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2009. Vol. 292, num. 1, p. 131 – 177. DOI : 10.1007/s00220-009-0857-6.

Stationary distributions for diffusions with inert drift

R. F. Bass; K. Burdzy; Z. Q. Chen; M. Hairer

Probability Theory and Related Fields. 2009. Vol. 146, num. 1, p. 1 – 47. DOI : 10.1007/s00440-008-0182-6.

Slow energy dissipation in anharmonic oscillator chains

Communications on Pure and Applied Mathematics. 2009. Vol. 62, num. 8, p. 999 – 1032. DOI : 10.1002/cpa.20280.

An Introduction to Stochastic PDEs

2009

M. Hairer; J. C. Mattingly; M. Scheutzow

Asymptotic coupling and a weak form of Harris’ theorem with applications to stochastic delay equations

2009

Ergodic properties of a class of non-Markovian processes

2009

SPECTRAL GAPS IN WASSERSTEIN DISTANCES AND THE 2D STOCHASTIC NAVIER-STOKES EQUATIONS

ANNALS OF PROBABILITY. 2008. Vol. 36, num. 6, p. 2050 – 2091. DOI : 10.1214/08-AOP392.

Homogenization of periodic linear degenerate PDEs

M. Hairer; E. Pardoux

JOURNAL OF FUNCTIONAL ANALYSIS. 2008. Vol. 255, num. 9, p. 2462 – 2487. DOI : 10.1016/j.jfa.2008.04.014.

Yet another look at Harris’ ergodic theorem for Markov chains

2008

Ornstein-Uhlenbeck processes on Lie groups

F. Baudoin; M. Hairer; J. Teichmann

JOURNAL OF FUNCTIONAL ANALYSIS. 2008. Vol. 255, num. 4, p. 877 – 890. DOI : 10.1016/j.jfa.2008.05.004.

M. Hairer; G. A. Pavliotis

From Ballistic to diffusive behavior in periodic potentials

JOURNAL OF STATISTICAL PHYSICS. 2008. Vol. 131, num. 1, p. 175 – 202. DOI : 10.1007/s10955-008-9493-3.

Rigorous remarks about scaling laws in turbulent fluids

F. Flandoli; M. Gubinelli; M. Hairer; M. Romito

COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2008. Vol. 278, num. 1, p. 1 – 29. DOI : 10.1007/s00220-007-0398-9.

A version of Hormander’s theorem for the fractional Brownian motion

F. Baudoin; M. Hairer

PROBABILITY THEORY AND RELATED FIELDS. 2007. Vol. 139, num. 3-4, p. 373 – 395. DOI : 10.1007/s00440-006-0035-0.

Analysis of spdes arising in path sampling part II: The nonlinear case

M. Hairer; A. M. Stuart; J. Voss

ANNALS OF APPLIED PROBABILITY. 2007. Vol. 17, num. 5-6, p. 1657 – 1706. DOI : 10.1214/07-AAP441.

Ergodic theory for sdes with extrinsic memory

M. Hairer; A. Ohashi

ANNALS OF PROBABILITY. 2007. Vol. 35, num. 5, p. 1950 – 1977. DOI : 10.1214/009117906000001141.

Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities

D. Bloemker; M. Hairer; G. A. Pavliotis

NONLINEARITY. 2007. Vol. 20, num. 7, p. 1721 – 1744. DOI : 10.1088/0951-7715/20/7/009.

Sampling the posterior: An approach to non-Gaussian data assimilation

A. Apte; M. Hairer; A. M. Stuart; J. Voss

Physica D: Nonlinear Phenomena. 2007. Vol. 230, num. 1-2, p. 50 – 64. DOI : 10.1016/j.physd.2006.06.009.

Multiscale Analysis for SPDEs with Quadratic Nonlinearities

D. Blömker; G. A. Pavliotis; M. Hairer

2006

Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing

Annals of Mathematics. 2006. Vol. 164, num. 3, p. 993 – 1032. DOI : 10.4007/annals.2006.164.993.

Modulation equations: Stochastic bifurcation in large domains

D. Blömker; M. Hairer; G. Pavliotis

COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2005. Vol. 258, num. 2, p. 479 – 512. DOI : 10.1007/s00220-005-1368-8.

Remarks on the K41 scaling law in turbulent fluids

F. Flandoli; M. Gubinelli; M. Hairer; M. Romito

2005

A probabilistic argument for the controllability of conservative systems

2005

Ergodicity of stochastic differential equations driven by fractional Brownian motion

ANNALS OF PROBABILITY. 2005. Vol. 33, num. 2, p. 703 – 758. DOI : 10.1214/009117904000000892.

ANALYSIS OF SPDES ARISING IN PATH SAMPLING PART I: THE GAUSSIAN CASE

M. Hairer; A. M. Stuart; J. Voss; P. Wiberg

Communications in Mathematical Sciences. 2005. Vol. 3, num. 4, p. 587 – 603. DOI : 10.4310/CMS.2005.v3.n4.a8.

Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations

M. Hairer; J. Mattingly

COMPTES RENDUS MATHEMATIQUE. 2004. Vol. 339, num. 12, p. 879 – 882. DOI : 10.1016/j.crma.2004.09.035.

Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations

M. Hairer; J. Mattingly; É. Pardoux

COMPTES RENDUS MATHEMATIQUE. 2004. Vol. 339, num. 11, p. 793 – 796. DOI : 10.1016/j.crma.2004.09.002.

Multiscale expansion of invariant measures for SPDEs

D. Blomker; M. Hairer

COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2004. Vol. 251, num. 3, p. 515 – 555. DOI : 10.1007/s00220-004-1130-7.

M. Hairer; G. A. Pavliotis

Periodic homogenization for hypoelliptic diffusions

Journal of Statistical Physics. 2004. Vol. 117, num. 1-2, p. 261 – 279. DOI : 10.1023/B:JOSS.0000044055.59822.20.

Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier–Stokes equation

M. Hairer; J. C. Mattingly; E. Pardoux

2004

Stationary solutions for a model of amorphous thin-film growth

D. Blömker; M. Hairer

STOCHASTIC ANALYSIS AND APPLICATIONS. 2004. Vol. 22, num. 4, p. 903 – 922. DOI : 10.1081/SAP-120037624.

Spectral properties of hypoelliptic operators

J. Eckmann; M. Hairer

COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2003. Vol. 235, num. 2, p. 233 – 253. DOI : 10.1007/s00220-003-0805-9.

Exponential mixing properties of stochastic PDEs through asymptotic coupling

PROBABILITY THEORY AND RELATED FIELDS. 2002. Vol. 124, num. 3, p. 345 – 380. DOI : 10.1007/s004400200216.

Exponential mixing for a stochastic partial differential equation driven by degenerate noise

Nonlinearity. 2002. Vol. 15, num. 2, p. 271 – 279. DOI : 10.1088/0951-7715/15/2/304.

Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise

J. P. Eckmann; M. Hairer

Communications in Mathematical Physics. 2001. Vol. 219, num. 3, p. 523 – 565. DOI : 10.1007/s002200100424.

Invariant measures for stochastic partial differential equations in unbounded domains

J. P. Eckmann; M. Hairer

Nonlinearity. 2001. Vol. 14, num. 1, p. 133 – 151. DOI : 10.1088/0951-7715/14/1/308.

Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators

J. P. Eckmann; M. Hairer

Communications in Mathematical Physics. 2000. Vol. 212, num. 1, p. 105 – 164. DOI : 10.1007/s002200000216.