Bruned, Yvain, Hairer, Martin and Zambotti, L. (2019) Algebraic renormalisation of regularity structures. Inventiones Mathematicae, 215 (3). pp. 1039-1156. doi:10.1007/s00222-018-0841-x

Hairer, Martin and Quastel, Jeremy (2018) A class of growth models rescaling to KPZ. Forum of Mathematics, Pi, 6 . e3. doi:10.1017/fmp.2018.2

Hairer, Martin and Labbe, C. (2018) Multiplicative stochastic heat equations on the whole space. Journal of the European Mathematical Society, 20 (4). pp. 1005-1054. doi:10.4171/JEMS/781

Gerencsér, Máté and Hairer, Martin (2018) Singular SPDEs in domains with boundaries. Probability Theory and Related Fields, 173 (3-4). pp. 697-758. doi:10.1007/s00440-018-0841-1

Hairer, Martin, Iyer, Gautam, Koralov, Leonid, Novikov, Alexei and Pajor-Gyulai, Zsolt (2018) A fractional kinetic process describing the intermediate time behaviour of cellular flows. The Annals of Probability, 46 (2). pp. 897-955. doi:10.1214/17-AOP1196

Hairer, Martin and Xu, Weijun (2018) Large-scale behavior of three-dimensional continuous phase coexistence models. Communications on Pure and Applied Mathematics, 71 (4). pp. 688-746. doi:10.1002/cpa.21738

Hairer, M. and Mattingly, J. (2018) The strong Feller property for singular stochastic PDEs. Annales de l'Institut Henri Poincare, Probabilites et Statistiques, 54 (3). pp. 1314-1340. doi:10.1214/17-AIHP840

Hairer, Martin and Shen, Hao (2017) A central limit theorem for the KPZ equation. Annals of Probability, 45 (6B). pp. 4167-4221. doi:10.1214/16-AOP1162

Hairer, Martin and Matetski, Kanstantsin (2015) Optimal rate of convergence for stochastic Burgers-type equations. Stochastic Partial Differential Equations: Analysis and Computations, 4 (2). pp. 402-437. doi:10.1007/s40072-015-0067-5

Hairer, Martin and Shen, Hao (2015) The dynamical sine-Gordon model. Communications in Mathematical Physics, 341 (3). pp. 933-989.

Hairer, Martin and Pardoux, Etienne (2015) A Wong-Zakai theorem for stochastic PDEs. Journal of the Mathematical Society of Japan, 67 (4). pp. 1551-1604. doi:10.2969/jmsj/06741551

Hairer, Martin, Koralov, L. and Pajor-Gyulai, Z. (2015) From averaging to homogenization in cellular flows - an exact description of the transition. Annales de l’Institut Henri Poincaré - Probabilites et Statistiques, 52 (4). pp. 1592-1613. doi:10.1214/15-AIHP690

Hairer, Martin, Hutzenthaler, Martin and Jentzen, Arnulf (2015) Loss of regularity for Kolmogorov equations. The Annals of Probability, 43 (2). pp. 468-527. doi:10.1214/13-AOP838

Cass, Thomas, Hairer, Martin, Litterer, Christian and Tindel, Samy (2015) Smoothness of the density for solutions to Gaussian rough differential equations. The Annals of Probability, 43 (1). pp. 188-239. doi:10.1214/13-AOP896

Hairer, Martin and Weber, Hendrik (2015) Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Annales de la faculté des sciences de Toulouse Mathématiques, 24 (1). pp. 55-92. doi:10.5802/afst.1442

Hairer, Martin and Labbé, Cyril (2015) A simple construction of the continuum parabolic Anderson model on R2. Electronic Communications in Probability, 20 . 43. doi:10.1214/ECP.v20-4038

Hairer, Martin (2014) A theory of regularity structures. Inventiones Mathematicae, 198 (2). pp. 269-504. doi:10.1007/s00222-014-0505-4

Hairer, Martin, Stuart, A. M. and Vollmer, Sebastian (2014) Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions. The Annals of Applied Probability, 24 (6). pp. 2455-2490. doi:10.1214/13-AAP982

Hairer, Martin, Maas, Jan and Weber, Hendrik (2014) Approximating rough stochastic PDEs. Communications on Pure and Applied Mathematics, Volume 67 (Number 5). pp. 776-870. doi:10.1002/cpa.21495

Hairer, Martin and Weber, Hendrik (2013) Erratum to : Rough Burgers-like equations with multiplicative noise. Probability Theory and Related Fields, Volume 157 (Number 3-4). pp. 1011-1013. doi:10.1007/s00440-011-0392-1

Hairer, Martin (2013) Solving the KPZ equation. Annals of Mathematics, Volume 178 (Number 2). pp. 559-664. doi:10.4007/annals.2013.178.2.4

Bou-Rabee, N. and Hairer, Martin (2013) Nonasymptotic mixing of the MALA algorithm. IMA Journal of Numerical Analysis, Volume 33 (Number 1). pp. 80-110. doi:10.1093/imanum/drs003

Hairer, Martin and Pillai, Natesh S. (2013) Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. The Annals of Probability, Volume 41 (Number 4). pp. 2544-2598. doi:10.1214/12-AOP777

Hairer, Martin (2013) Solving the KPZ equation. Annals of Mathematics, Volume 178 (Number 2). pp. 559-664. doi:10.4007/annals.2013.178.2.4

Hairer, Martin and Kelly, David (David T. B.) (2012) Stochastic PDEs with multiscale structure. Electronic Journal of Probability, Vol.17 (No.52). doi:10.1214/EJP.v17-1807

Hairer, Martin (2012) Singular perturbations to semilinear stochastic heat equations. Probability Theory and Related Fields, Vol. 152 (No. 1-2). pp. 265-297. doi:10.1007/s00440-010-0322-7

Hairer, Martin, Ryser, Marc D. and Weber, Hendrik (2012) Triviality of the 2D stochastic Allen-Cahn equation. Electronic Journal of Probability, Vol.17 . pp. 1-14. doi:10.1214/EJP.v17-1731

Hairer, Martin and Maas, Jan (2012) A spatial version of the Itô–Stratonovich correction. The Annals of Probability, Vol.40 (No.4). pp. 1675-1714. doi:10.1214/11-AOP662

Hairer, Martin (2011) Rough stochastic PDEs. Communications on Pure and Applied Mathematics, Vol.64 (No.11). pp. 1547-1585. doi:10.1002/cpa.20383

Hairer, Martin (2011) On Malliavinʼs proof of Hörmanderʼs theorem. Bulletin des Sciences Mathématiques, Vol.135 (No.6-7). pp. 650-666. doi:10.1016/j.bulsci.2011.07.007

Allman, Michael J., Betz, Volker and Hairer, Martin (2011) A chain of interacting particles under strain. Stochastic Processes and their Applications, Vol.121 (No.9). pp. 2014-2042. doi:10.1016/j.spa.2011.05.007

Hairer, Martin and Mattingly, Jonathan C. (2011) A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Electronic Journal of Probability, Vol.16 . p. 23.

Hairer, Martin and Manson, Charles (2011) Periodic homogenization with an interface : the multi-dimensional case. Annals of Probability, Volume 39 (Number 2). pp. 648-682. doi:10.1214/10-AOP564

Hairer, Martin, Mattingly, Jonathan Christopher and Scheutzow, Michael (2011) Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Probability Theory and Related Fields, Volume 149 (Numbers 1-2). pp. 223-259. doi:10.1007/s00440-009-0250-6

Hairer, Martin and Voss, Jochen (2011) Approximations to the stochastic Burgers equation. Journal of Nonlinear Science, Vol.21 (No.6). pp. 897-920. doi:10.1007/s00332-011-9104-3

Hairer, Martin and Pillai, N. S. (2011) Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Vol.47 (No.2). pp. 601-628. doi:10.1214/10-AIHP377

Hairer, Martin, Stuart, A. M. and Voss, Jochen (2011) Sampling conditioned hypoelliptic diffusions. The Annals of Applied Probability, Volume 21 (Number 2). pp. 669-698. doi:10.1214/10-AAP708

Hairer, Martin, Stuart, A. M. and Voss, J. (2011) Signal processing problems on function space : Bayesian formulation, SPDEs and effective MCMC methods. In: Crisan, Dan and Rozovskii, Boris, (eds.) The Oxford handbook of nonlinear filtering. Oxford ; New York: Oxford University Press. ISBN 9780199532902

Hairer, Martin and Manson, Charles (2010) Periodic homogenization with an interface : the one-dimensional case. Stochastic Processes and their Applications, Vol.120 (No.8). pp. 1589-1605. doi:10.1016/j.spa.2010.03.016

Hairer, Martin and Majda, Andrew J. (2010) A simple framework to justify linear response theory. Nonlinearity, Vol.23 (No.4). pp. 909-922. doi:10.1088/0951-7715/23/4/008

Bass, Richard F., Burdzy, K. (Krzysztof), Chen, Zhen-Qing and Hairer, Martin (2010) Stationary distributions for diffusions with inert drift. Probability Theory and Related Fields, Vol.146 (No.1-2). pp. 1-47. doi:10.1007/s00440-008-0182-6

Hairer, Martin (2009) How hot can a heat bath get? Communications in Mathematical Physics, Vol.292 (No.1). pp. 131-177. doi:10.1007/s00220-009-0857-6

Hairer, Martin and Mattingly, Jonathan C. (2009) Slow energy dissipation in anharmonic oscillator chains. Communications on Pure and Applied Mathematics, Vol.62 (No.8 Sp. Iss. SI). pp. 999-1032. doi:10.1002/cpa.20280

Hairer, Martin (2009) Ergodic properties of a class of non-Markovian processes. In: Blath, Jochen and Mörters, Peter and Scheutzow, Michael, (eds.) Trends in stochastic analysis : festschrift in honour of Heinrich von Weizsäcker. London Mathematical Society lecture note series . Cambridge, U.K. ; New York: Cambridge University Press, pp. 65-98. ISBN 9780521718219

Hairer, Martin and Pillai, Natesh S. (2009) Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2009 (No.38).

Hairer, Martin (2009) Hypoellipticity in infinite dimensions. In: ISAAC 2009 : The 20th International Symposium on Algorithms and Computation, Hawaii, USA., 16-18 Dec 2009

Hairer, Martin, Stuart, A. M. and Voss, Jochen (2009) Sampling conditioned diffusions. In: Blath, Jochen and Morters, Peter and Scheutzow, Michael, (eds.) Trends in stochastic analysis : festschrift in honour of Heinrich von Weizsäcker. London Mathematical Society lecture note series, Vol.353 . Cambridge, U.K. ; New York: Cambridge University Press, pp. 159-186. ISBN 9780521718219

Hairer, Martin and Pardoux, Etienne (2008) Homogenization of periodic linear degenerate PDEs. Journal of Functional Analysis, Volume 255 (Number 9). pp. 2462-2487. doi:10.1016/j.jfa.2008.04.014

Hairer, Martin and Mattingly, Jonathan Christopher (2008) Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations. Annals of Probability, Volume 36 (Number 6). pp. 2050-2091. doi:10.1214/08-AOP392

Baudoin, Fabrice, Hairer, Martin and Teichmann, Josef (2008) Ornstein-Uhlenbeck processes on Lie groups. Journal of Functional Analysis, Vol.255 (No.4). pp. 877-890. doi:10.1016/j.jfa.2008.05.004

Hairer, Martin and Mattingly, Jonathan C. (2008) Yet another look at Harris' Ergodic Theorem for Markov Chains. In: Dalang, Robert C., 1961- and Dozzi, M. and Russo, Francesco, 1959-, (eds.) Seminar on Stochastic Analysis, Random Fields and Applications VI. Progress in Probability, Vol.VI . Centro Stefano Franscini, Ascona: Springer, pp. 109-117. ISBN 9783034800204

Hairer, Martin and Pavliotis, G. A. (2008) From ballistic to diffusive behavior in periodic potentials. Journal of Statistical Physics, Vol.131 (No.1). pp. 175-202. doi:10.1007/s10955-008-9493-3

Flandoli, Franco, Gubinelli, M., Hairer, Martin and Romito, M. (2008) Rigorous remarks about scaling laws in turbulent fluids. Communications in Mathematical Physics, Vol.278 (No.1). pp. 1-29. doi:10.1007/s00220-007-0398-9

Baudoin, Fabrice and Hairer, Martin (2007) A version of Hormander's theorem for the fractional Brownian motion. PROBABILITY THEORY AND RELATED FIELDS, 139 (3-4). pp. 373-395. doi:10.1007/s00440-006-0035-0

Hairer, Martin, Stuart, A. M. and Voss, J. (2007) Analysis of spdes arising in path sampling part II: The nonlinear case. Annals of Applied Probability, Vol.17 (No.5-6). pp. 1657-1706. doi:10.1214/07-AAP441

Hairer, Martin and Ohashi, A. (2007) Ergodic theory for SDEs with extrinsic memory. Annals of Probability, Vol.35 (No.5). pp. 1950-1977. doi:10.1214/009117906000001141

Blömker, D., Hairer, Martin and Pavliotis, G. A. (2007) Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Nonlinearity, Vol.20 (No.7). pp. 1721-1744. doi:10.1088/0951-7715/20/7/009

Apte, A., Hairer, Martin, Stuart, A. M. and Voss, J. (2007) Sampling the posterior: an approach to non-Gaussian data assimilation. Physica D: Nonlinear Phenomena, Vol.230 (No.1-2). pp. 50-64. doi:10.1016/j.physd.2006.06.009

Hairer, Martin and Mattingly, Jonathan C. (2006) Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. ANNALS OF MATHEMATICS, 164 (3). pp. 993-1032.