Edit Profile (opens in new tab) Hairer, Martin Co-Author Distance Author ID: hairer.martin Published as: Hairer, Martin; Hairer, M. Homepage: http://www.hairer.org/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · MathOverflow · dblp · GND · IdRef · theses.fr Videos: carmin.tv Awards: Fields Medal (2014) · Breakthrough Prize in Mathematics (2021) Documents Indexed: 143 Publications since 2000, including 2 Books and 17 Additional arXiv Preprints 5 Contributions as Editor · 2 Further Contributions Software Indexed: 1 Package Biographic References: 9 Publications Co-Authors: 81 Co-Authors with 116 Joint Publications 2,350 Co-Co-Authors all top 5 Co-Authors 26 single-authored 9 Mattingly, Jonathan Christopher 8 Stuart, Andrew M. 7 Blömker, Dirk 7 Voss, Jochen 6 Chandra, Ajay 6 Shen, Hao 5 Eckmann, Jean-Pierre 5 Gubinelli, Massimiliano 5 Pardoux, Etienne 5 Weber, Hendrik 4 Bruned, Yvain 4 Rosati, Tommaso Cornelis 4 Zambotti, Lorenzo 3 Chevyrev, Ilya 3 Erhard, Dirk 3 Flandoli, Franco 3 Gerencsér, Máté 3 Labbé, Cyril 3 Manson, Charles 3 Matetski, Konstantin 3 Weare, Jonathan Quincy 2 Baudoin, Fabrice 2 Cannizzaro, Giuseppe 2 Friz, Peter 2 Gerasimovičs, Andris 2 Gerolla, Luca 2 Guionnet, Alice 2 Koralov, Leonid B. 2 Maas, Jan 2 Miermont, Grégory 2 Pajor-Gyulai, Zsolt 2 Pillai, Natesh S. 2 Singh, Harprit 2 Steele, Rhys 2 Xu, Weijun 1 Allman, Michael 1 Apte, Amit 1 Bass, Richard F. 1 Bauerschmidt, Roland 1 Betz, Volker 1 Bou-Rabee, Nawaf M. 1 Bréhier, Charles-Edouard 1 Burdzy, Krzysztof 1 Cass, Thomas Richard 1 Chen, Zhen-Qing 1 Cloez, Bertrand 1 Coti Zelati, Michele 1 Cuneo, Noé 1 Hairer, Ernst 1 Hutzenthaler, Martin 1 Iberti, Massimo 1 Iyer, Gautam 1 Jentzen, Arnulf 1 Kusuoka, Seiichiro Kusuoka 1 Litterer, Christian 1 Majda, Andrew Joseph 1 Nagoji, Hirotatsu 1 Novikov, Alexei 1 Oh, Tadahiro 1 Pavliotis, Greg A. 1 Pavliotis, Grigorios A. 1 Peev, Martin 1 Persson, Ulf A. 1 Piatnitski, Andrey L. 1 Punshon-Smith, Sam 1 Quastel, Jeremy 1 Rey-Bellet, Luc 1 Romito, Marco 1 Ryser, Marc Daniel 1 Scheutzow, Michael K. R. 1 Schönbauer, Philipp 1 Scott, Melvin R. 1 Souganidis, Panagiotis E. 1 Teichmann, Josef 1 Tindel, Samy 1 Tzvetkov, Nikolay 1 Vollmer, Sebastian J. 1 Werner, Wendelin 1 Wiberg, Petter 1 Xu, Tiecheng 1 Yau, Horng-Tzer 1 Yi, Jaeyun 1 Zhao, Wenhao 1 Zine, Younes all top 5 Serials 13 The Annals of Probability 11 Communications in Mathematical Physics 11 Communications on Pure and Applied Mathematics 9 Probability Theory and Related Fields 6 Electronic Journal of Probability 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of Statistical Physics 4 Nonlinearity 4 Journal of Functional Analysis 4 Oberwolfach Reports 3 Inventiones Mathematicae 3 The Annals of Applied Probability 2 Archive for Rational Mechanics and Analysis 2 Stochastic Processes and their Applications 2 European Mathematical Society Newsletter 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Forum of Mathematics, Pi 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Universitext 1 IMA Journal of Numerical Analysis 1 Publications Mathématiques 1 Journal of the Mathematical Society of Japan 1 Stochastic Analysis and Applications 1 Journal of Computational Mathematics 1 Physica D 1 Journal of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Bulletin des Sciences Mathématiques 1 Electronic Communications in Probability 1 Bernoulli 1 Brazilian Journal of Probability and Statistics 1 Communications in Mathematical Sciences 1 Lecture Notes in Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Japanese Journal of Mathematics. 3rd Series 1 Annals of PDE 1 European Mathematical Society Magazine all top 5 Fields 120 Probability theory and stochastic processes (60-XX) 56 Partial differential equations (35-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Statistical mechanics, structure of matter (82-XX) 15 Quantum theory (81-XX) 13 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 6 General and overarching topics; collections (00-XX) 6 Ordinary differential equations (34-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 3 Associative rings and algebras (16-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 4,805 times in 2,525 Documents Cited by ▼ Year ▼ A theory of regularity structures. Zbl 1332.60093 Hairer, M. 466 2014 A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013 Friz, Peter K.; Hairer, Martin 321 2014 Solving the KPZ equation. Zbl 1281.60060 Hairer, Martin 279 2013 Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038 Hairer, Martin; Mattingly, Jonathan C. 271 2006 Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082 Hairer, Martin; Mattingly, Jonathan C. 162 2011 Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Zbl 1238.60082 Hairer, M.; Mattingly, J. C.; Scheutzow, M. 147 2011 Algebraic renormalisation of regularity structures. Zbl 1481.16038 Bruned, Y.; Hairer, M.; Zambotti, L. 116 2019 Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005 Hairer, Martin; Mattingly, Jonathan C. 109 2008 A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062 Hairer, Martin; Pardoux, Étienne 105 2015 A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002 Friz, Peter K.; Hairer, Martin 95 2020 Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002 Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J. 89 2014 Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094 Cloez, Bertrand; Hairer, Martin 85 2015 A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072 Hairer, Martin; Mattingly, Jonathan C. 82 2011 Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045 Hairer, Martin 73 2005 A simple framework to justify linear response theory. Zbl 1186.82006 Hairer, Martin; Majda, Andrew J. 71 2010 Exponential mixing properties of stochastic PDEs through asymptotic coupling. Zbl 1032.60056 Hairer, M. 70 2002 A class of growth models rescaling to KPZ. Zbl 1429.60057 Hairer, Martin; Quastel, Jeremy 66 2018 Renormalising SPDEs in regularity structures. Zbl 1465.60057 Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin 60 2021 Discretisations of rough stochastic PDEs. Zbl 1406.60094 Hairer, M.; Matetski, K. 56 2018 A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094 Hairer, Martin; Labbé, Cyril 55 2015 On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085 Hairer, Martin 53 2011 Loss of regularity for Kolmogorov equations. Zbl 1322.35083 Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf 52 2015 Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Zbl 1044.82008 Eckmann, J.-P.; Hairer, M. 52 2000 Spectral properties of hypoelliptic operators. Zbl 1040.35016 Eckmann, J.-P.; Hairer, M. 51 2003 Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055 Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy 51 2015 Geometric versus non-geometric rough paths. Zbl 1314.60115 Hairer, Martin; Kelly, David 51 2015 A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038 Baudoin, Fabrice; Hairer, Martin 51 2007 The strong Feller property for singular stochastic PDEs. Zbl 1426.60088 Hairer, M.; Mattingly, J. 50 2018 Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329 Hairer, M.; Stuart, A. M.; Voss, J. 48 2007 Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102 Hairer, Martin; Labbé, Cyril 47 2018 The dynamical sine-Gordon model. Zbl 1336.60120 Hairer, Martin; Shen, Hao 45 2016 Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141 Hairer, Martin; Weber, Hendrik 44 2015 Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052 Hairer, M.; Ohashi, A. 44 2007 Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087 Hairer, Martin; Li, Xue-Mei 44 2020 Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068 Hairer, Martin; Pillai, Natesh S. 43 2013 Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083 Hairer, M.; Pillai, N. S. 41 2011 Rough stochastic PDEs. Zbl 1229.60079 Hairer, M. 41 2011 Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Zbl 0983.60058 Eckmann, J.-P.; Hairer, M. 39 2001 A central limit theorem for the KPZ equation. Zbl 1388.60111 Hairer, Martin; Shen, Hao 36 2017 Introduction to regularity structures. Zbl 1316.81061 Hairer, Martin 35 2015 Triviality of the 2D stochastic Allen-Cahn equation. Zbl 1245.60063 Hairer, Martin; Ryser, Marc Daniel; Weber, Hendrik 35 2012 Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326 Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P. 34 2005 Invariant measures for stochastic partial differential equations in unbounded domains. Zbl 0970.60071 Eckmann, J.-P.; Hairer, M. 33 2001 Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012 Bou-Rabee, N.; Hairer, M. 33 2013 Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055 Hairer, Martin; Weber, Hendrik 31 2013 Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026 Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J. 30 2007 Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012 Hairer, Martin; Mattingly, Jonathan C. 28 2009 Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004 Blömker, D.; Hairer, M.; Pavliotis, G. A. 27 2007 Hörmander’s theorem for semilinear SPDEs. Zbl 1462.60084 Gerasimovičs, Andris; Hairer, Martin 26 2019 Singular SPDEs in domains with boundaries. Zbl 1411.60097 Gerencsér, Máté; Hairer, Martin 25 2019 Regularity structures and the dynamical \(\Phi_3^4\) model. Zbl 1506.60062 Hairer, Martin 25 2016 A solution theory for quasilinear singular SPDEs. Zbl 1458.60077 Gerencsér, Máté; Hairer, Martin 25 2019 Langevin dynamic for the 2D Yang-Mills measure. Zbl 1518.70029 Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin; Shen, Hao 25 2022 Geometric stochastic heat equations. Zbl 1476.60101 Bruned, Y.; Gabriel, F.; Hairer, M.; Zambotti, L. 24 2022 GniCodes –Matlab programs for geometric numerical integration. Zbl 1028.65136 Hairer, Ernst; Hairer, Martin 24 2003 Approximations to the stochastic Burgers equation. Zbl 1273.60004 Hairer, Martin; Voss, Jochen 24 2011 Approximating rough stochastic PDEs. Zbl 1302.60095 Hairer, Martin; Maas, Jan; Weber, Hendrik 23 2014 The reconstruction theorem in Besov spaces. Zbl 1380.46031 Hairer, Martin; Labbé, Cyril 23 2017 Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052 Hairer, Martin 23 2009 Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038 Blömker, D.; Hairer, M.; Pavliotis, G. A. 21 2005 Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057 Blömker, Dirk; Hairer, Martin 21 2004 Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012 Hairer, M.; Stuart, A.; Voss, J. 21 2011 Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033 Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc 21 2018 Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015 Hairer, Martin; Pardoux, Etienne 20 2008 Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026 Hairer, M.; Pavliotis, G. A. 19 2004 From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015 Hairer, M.; Pavliotis, G. A. 19 2008 How hot can a heat bath get? Zbl 1190.82022 Hairer, Martin 17 2009 Discretisation of regularity structures. Zbl 1450.60065 Erhard, Dirk; Hairer, Martin 17 2019 A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060 Hairer, Martin; Maas, Jan 16 2012 Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011 Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M. 16 2008 A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049 Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt 16 2018 Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60073 Hairer, Martin; Mattingly, Jonathan C. 14 2004 Large scale limit of interface fluctuation models. Zbl 1453.60120 Hairer, Martin; Xu, Weijun 14 2019 Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085 Hairer, Martin; Xu, Weijun 14 2018 The support of singular stochastic partial differential equations. Zbl 1490.60186 Hairer, Martin; Schönbauer, Philipp 13 2022 Singular stochastic PDEs. Zbl 1373.60110 Hairer, Martin 13 2014 Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243 Hairer, Martin; Pardoux, Étienne 13 2021 Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074 Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne 12 2004 Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057 Blömker, Dirk; Hairer, Martin 12 2005 Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069 Hairer, M.; Matetski, K. 11 2016 An analyst’s take on the BPHZ theorem. Zbl 1408.60049 Hairer, Martin 11 2018 Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018 Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef 10 2008 Sampling conditioned diffusions. Zbl 1203.60100 Hairer, Martin; Stuart, Andrew; Voß, Jochen 10 2009 Renormalisation of stochastic partial differential equations. Zbl 1447.35399 Bruned, Yvain; Hairer, Martin; Zambotti, Lorenzo 10 2020 Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008 Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M. 10 2018 Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052 Hairer, Martin 9 2012 A noise-induced transition in the Lorenz system. Zbl 1461.93484 Coti Zelati, Michele; Hairer, Martin 9 2021 Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230 Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey 9 2013 Stationary distributions for diffusions with inert drift. Zbl 1210.60058 Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin 9 2010 Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060 Blömker, Dirk; Hairer, Martin 8 2004 Improved diffusion Monte Carlo. Zbl 1314.65008 Hairer, Martin; Weare, Jonathan 8 2014 Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044 Hairer, Martin; Manson, Charles 8 2011 From averaging to homogenization in cellular flows – an exact description of the transition. Zbl 1356.35033 Hairer, Martin; Koralov, Leonid; Pajor-Gyulai, Zsolt 7 2016 Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062 Hairer, Martin; Stuart, Andrew M.; Voss, Jochen 7 2011 Singular stochastic PDEs. Zbl 1373.60111 Hairer, Martin 7 2014 Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129 Hairer, Martin; Manson, Charles 6 2010 Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055 Hairer, Martin 6 2018 The BPHZ theorem for regularity structures via the spectral gap inequality. Zbl 1546.60198 Hairer, Martin; Steele, Rhys 6 2024 Coupling stochastic PDEs. Zbl 1122.35383 Hairer, Martin 5 2005 A chain of interacting particles under strain. Zbl 1237.60066 Allman, Michael; Betz, Volker; Hairer, Martin 5 2011 The BPHZ theorem for regularity structures via the spectral gap inequality. Zbl 1546.60198 Hairer, Martin; Steele, Rhys 6 2024 Stochastic quantisation of Yang-Mills-Higgs in 3D. Zbl 1547.60056 Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin; Shen, Hao 2 2024 A scaling limit of the parabolic Anderson model with exclusion interaction. Zbl 07793221 Erhard, Dirk; Hairer, Martin 2 2024 Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise. Zbl 1540.35288 Hairer, Martin; Rosati, Tommaso 1 2024 The Brownian Castle. Zbl 1540.60205 Cannizzaro, Giuseppe; Hairer, Martin 3 2023 The Brownian web as a random \(\mathbb{R} \)-tree. Zbl 07733587 Cannizzaro, Giuseppe; Hairer, Martin 2 2023 The Allen-Cahn equation with generic initial datum. Zbl 1521.60027 Hairer, Martin; Lê, Khoa; Rosati, Tommaso 2 2023 Langevin dynamic for the 2D Yang-Mills measure. Zbl 1518.70029 Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin; Shen, Hao 25 2022 Geometric stochastic heat equations. Zbl 1476.60101 Bruned, Y.; Gabriel, F.; Hairer, M.; Zambotti, L. 24 2022 The support of singular stochastic partial differential equations. Zbl 1490.60186 Hairer, Martin; Schönbauer, Philipp 13 2022 The \(\Phi_3^4\) measure has sub-Gaussian tails. Zbl 1490.81104 Hairer, Martin; Steele, Rhys 5 2022 Boundary renormalisation of SPDEs. Zbl 1504.60098 Gerencsér, Máté; Hairer, Martin 3 2022 Renormalising SPDEs in regularity structures. Zbl 1465.60057 Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin 60 2021 Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243 Hairer, Martin; Pardoux, Étienne 13 2021 A noise-induced transition in the Lorenz system. Zbl 1461.93484 Coti Zelati, Michele; Hairer, Martin 9 2021 A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002 Friz, Peter K.; Hairer, Martin 95 2020 Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087 Hairer, Martin; Li, Xue-Mei 44 2020 Renormalisation of stochastic partial differential equations. Zbl 1447.35399 Bruned, Yvain; Hairer, Martin; Zambotti, Lorenzo 10 2020 Algebraic renormalisation of regularity structures. Zbl 1481.16038 Bruned, Y.; Hairer, M.; Zambotti, L. 116 2019 Hörmander’s theorem for semilinear SPDEs. Zbl 1462.60084 Gerasimovičs, Andris; Hairer, Martin 26 2019 Singular SPDEs in domains with boundaries. Zbl 1411.60097 Gerencsér, Máté; Hairer, Martin 25 2019 A solution theory for quasilinear singular SPDEs. Zbl 1458.60077 Gerencsér, Máté; Hairer, Martin 25 2019 Discretisation of regularity structures. Zbl 1450.60065 Erhard, Dirk; Hairer, Martin 17 2019 Large scale limit of interface fluctuation models. Zbl 1453.60120 Hairer, Martin; Xu, Weijun 14 2019 A class of growth models rescaling to KPZ. Zbl 1429.60057 Hairer, Martin; Quastel, Jeremy 66 2018 Discretisations of rough stochastic PDEs. Zbl 1406.60094 Hairer, M.; Matetski, K. 56 2018 The strong Feller property for singular stochastic PDEs. Zbl 1426.60088 Hairer, M.; Mattingly, J. 50 2018 Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102 Hairer, Martin; Labbé, Cyril 47 2018 Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033 Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc 21 2018 A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049 Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt 16 2018 Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085 Hairer, Martin; Xu, Weijun 14 2018 An analyst’s take on the BPHZ theorem. Zbl 1408.60049 Hairer, Martin 11 2018 Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008 Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M. 10 2018 Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055 Hairer, Martin 6 2018 Tightness of the Ising-Kac model on the two-dimensional torus. Zbl 1395.82134 Hairer, Martin; Iberti, Massimo 4 2018 A central limit theorem for the KPZ equation. Zbl 1388.60111 Hairer, Martin; Shen, Hao 36 2017 The reconstruction theorem in Besov spaces. Zbl 1380.46031 Hairer, Martin; Labbé, Cyril 23 2017 The dynamical sine-Gordon model. Zbl 1336.60120 Hairer, Martin; Shen, Hao 45 2016 Regularity structures and the dynamical \(\Phi_3^4\) model. Zbl 1506.60062 Hairer, Martin 25 2016 Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069 Hairer, M.; Matetski, K. 11 2016 From averaging to homogenization in cellular flows – an exact description of the transition. Zbl 1356.35033 Hairer, Martin; Koralov, Leonid; Pajor-Gyulai, Zsolt 7 2016 A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062 Hairer, Martin; Pardoux, Étienne 105 2015 Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094 Cloez, Bertrand; Hairer, Martin 85 2015 A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094 Hairer, Martin; Labbé, Cyril 55 2015 Loss of regularity for Kolmogorov equations. Zbl 1322.35083 Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf 52 2015 Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055 Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy 51 2015 Geometric versus non-geometric rough paths. Zbl 1314.60115 Hairer, Martin; Kelly, David 51 2015 Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141 Hairer, Martin; Weber, Hendrik 44 2015 Introduction to regularity structures. Zbl 1316.81061 Hairer, Martin 35 2015 The Brownian fan. Zbl 1302.60106 Hairer, Martin; Weare, Jonathan 2 2015 A theory of regularity structures. Zbl 1332.60093 Hairer, M. 466 2014 A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013 Friz, Peter K.; Hairer, Martin 321 2014 Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002 Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J. 89 2014 Approximating rough stochastic PDEs. Zbl 1302.60095 Hairer, Martin; Maas, Jan; Weber, Hendrik 23 2014 Singular stochastic PDEs. Zbl 1373.60110 Hairer, Martin 13 2014 Improved diffusion Monte Carlo. Zbl 1314.65008 Hairer, Martin; Weare, Jonathan 8 2014 Singular stochastic PDEs. Zbl 1373.60111 Hairer, Martin 7 2014 Solving the KPZ equation. Zbl 1281.60060 Hairer, Martin 279 2013 Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068 Hairer, Martin; Pillai, Natesh S. 43 2013 Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012 Bou-Rabee, N.; Hairer, M. 33 2013 Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055 Hairer, Martin; Weber, Hendrik 31 2013 Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230 Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey 9 2013 Erratum to: “Rough Burgers-like equations with multiplicative noise”. Zbl 1285.60062 Hairer, Martin; Weber, Hendrik 1 2013 Triviality of the 2D stochastic Allen-Cahn equation. Zbl 1245.60063 Hairer, Martin; Ryser, Marc Daniel; Weber, Hendrik 35 2012 A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060 Hairer, Martin; Maas, Jan 16 2012 Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052 Hairer, Martin 9 2012 Stochastic PDEs with multiscale structure. Zbl 1262.60059 Hairer, Martin; Kelly, David 3 2012 Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082 Hairer, Martin; Mattingly, Jonathan C. 162 2011 Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Zbl 1238.60082 Hairer, M.; Mattingly, J. C.; Scheutzow, M. 147 2011 A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072 Hairer, Martin; Mattingly, Jonathan C. 82 2011 On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085 Hairer, Martin 53 2011 Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083 Hairer, M.; Pillai, N. S. 41 2011 Rough stochastic PDEs. Zbl 1229.60079 Hairer, M. 41 2011 Approximations to the stochastic Burgers equation. Zbl 1273.60004 Hairer, Martin; Voss, Jochen 24 2011 Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012 Hairer, M.; Stuart, A.; Voss, J. 21 2011 Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044 Hairer, Martin; Manson, Charles 8 2011 Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062 Hairer, Martin; Stuart, Andrew M.; Voss, Jochen 7 2011 A chain of interacting particles under strain. Zbl 1237.60066 Allman, Michael; Betz, Volker; Hairer, Martin 5 2011 A simple framework to justify linear response theory. Zbl 1186.82006 Hairer, Martin; Majda, Andrew J. 71 2010 Stationary distributions for diffusions with inert drift. Zbl 1210.60058 Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin 9 2010 Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129 Hairer, Martin; Manson, Charles 6 2010 Some remarks on stabilization by additive noise. Zbl 1279.60076 Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A. 2 2010 Periodic homogenization with an interface. Zbl 1276.60086 Hairer, Martin; Manson, Charles 1 2010 Hypoellipticity in infinite dimensions. Zbl 1276.60066 Hairer, Martin 1 2010 Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012 Hairer, Martin; Mattingly, Jonathan C. 28 2009 Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052 Hairer, Martin 23 2009 How hot can a heat bath get? Zbl 1190.82022 Hairer, Martin 17 2009 Sampling conditioned diffusions. Zbl 1203.60100 Hairer, Martin; Stuart, Andrew; Voß, Jochen 10 2009 Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005 Hairer, Martin; Mattingly, Jonathan C. 109 2008 Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015 Hairer, Martin; Pardoux, Etienne 20 2008 From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015 Hairer, M.; Pavliotis, G. A. 19 2008 Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011 Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M. 16 2008 Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018 Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef 10 2008 A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038 Baudoin, Fabrice; Hairer, Martin 51 2007 Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329 Hairer, M.; Stuart, A. M.; Voss, J. 48 2007 Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052 Hairer, M.; Ohashi, A. 44 2007 Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026 Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J. 30 2007 Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004 Blömker, D.; Hairer, M.; Pavliotis, G. A. 27 2007 Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038 Hairer, Martin; Mattingly, Jonathan C. 271 2006 Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045 Hairer, Martin 73 2005 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,486 Authors 82 Hairer, Martin 40 Friz, Peter 36 Tindel, Samy 30 Stuart, Andrew M. 30 Zhu, RongChan 29 Gubinelli, Massimiliano 27 Jentzen, Arnulf 26 Blömker, Dirk 25 Zhu, Xiang-Chan 24 Röckner, Michael 24 Weber, Hendrik 23 Mattingly, Jonathan Christopher 23 Perkowski, Nicolas 22 Bailleul, Ismaël F. 22 Stoltz, Gabriel 21 Hofmanová, Martina 21 Pavliotis, Grigorios A. 20 Bruned, Yvain 19 Glatt-Holtz, Nathan E. 19 Oh, Tadahiro 19 Xu, Lihu 18 Shen, Hao 17 Bao, Jianhai 17 Cass, Thomas Richard 17 Chevyrev, Ilya 17 Corwin, Ivan Z. 17 Kühn, Christian 16 Gu, Yu 16 Majda, Andrew Joseph 16 Riedel, Sebastian 15 Baudoin, Fabrice 15 Deya, Aurélien 15 Monmarché, Pierre 15 Ouyang, Cheng 15 Shao, Jinghai 15 Wang, Bixiang 15 Yuan, Chenggui 14 Debussche, Arnaud 14 Nersesyan, Vahagn 14 Yamazaki, Kazuo 13 Bedrossian, Jacob 13 Gerencsér, Máté 13 Gess, Benjamin 13 Herzog, David P. 13 Hutzenthaler, Martin 13 Komorowski, Tomasz 13 Kuksin, Sergeĭ B. 13 Neamţu, Alexandra 13 Nilssen, Torstein K. 13 Prömel, David J. 12 Hoshino, Masato 12 Huang, Jianhua 12 Scheutzow, Michael K. R. 11 Brzeźniak, Zdzisław 11 Diehl, Joscha 11 Duan, Jinqiao 11 Ebrahimi-Fard, Kurusch 11 Harang, Fabian Andsem 11 Horbacz, Katarzyna 11 Inahama, Yuzuru 11 Lucarini, Valerio 11 Quastel, Jeremy 11 Tzvetkov, Nikolay 11 Xie, Longjie 11 Zambotti, Lorenzo 10 Albeverio, Sergio A. 10 Bakhtin, Yuri Yu. 10 Cannizzaro, Giuseppe 10 Chandra, Ajay 10 Chen, Guanggan 10 Gao, Hongjun 10 Gao, Xing 10 Jara, Milton D. 10 Li, Shihu 10 Liu, Wei 10 Lu, Kening 10 Mohan, Manil Thankamani 10 Romito, Marco 10 Shirikyan, Armen R. 10 Tong, Xin Thomson 10 Tsai, Li-cheng 10 Wang, Feng-Yu 10 Zhang, Tusheng S. 9 Bou-Rabee, Nawaf M. 9 Czapla, Dawid 9 Eberle, Andreas 9 Hocquet, Antoine 9 Hu, Yaozhong 9 Liu, Chong 9 Marzouk, Youssef M. 9 Mohammed, Wael W. 9 Ottobre, Michela 9 Pardoux, Etienne 9 Schmalfuß, Björn 9 Xu, Weijun 9 Zhai, Jianliang 9 Zygouras, Nikolaos 8 Bellingeri, Carlo 8 Bessaih, Hakima 8 Blumenthal, Alex ...and 2,386 more Authors all top 5 Cited in 334 Serials 128 Stochastic Processes and their Applications 91 Journal of Statistical Physics 86 Communications in Mathematical Physics 86 Journal of Differential Equations 75 Electronic Journal of Probability 74 The Annals of Probability 71 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 69 The Annals of Applied Probability 69 Stochastic and Partial Differential Equations. Analysis and Computations 62 Journal of Functional Analysis 56 Probability Theory and Related Fields 52 Stochastics and Dynamics 47 Nonlinearity 42 Journal of Mathematical Analysis and Applications 40 Bernoulli 37 Journal of Theoretical Probability 33 SIAM Journal on Mathematical Analysis 31 Physica D 30 Communications on Pure and Applied Mathematics 29 Stochastic Analysis and Applications 29 Discrete and Continuous Dynamical Systems. 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Mathematics 9 Annales Henri Lebesgue 8 The Annals of Statistics 8 Journal of the Mathematical Society of Japan 8 Applied Mathematics Letters 8 SIAM Review 8 SIAM Journal on Scientific Computing 8 Multiscale Modeling & Simulation 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Probability Surveys 7 Physica A 7 Journal of Applied Probability 7 Journal of the London Mathematical Society. Second Series 7 Communications in Partial Differential Equations 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Bulletin des Sciences Mathématiques 7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 7 Statistical Inference for Stochastic Processes 7 Communications in Nonlinear Science and Numerical Simulation 7 Electronic Journal of Statistics 6 Mathematical Methods in the Applied Sciences 6 Journal of Algebra 6 Numerische Mathematik 6 Proceedings of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Applied Numerical Mathematics 6 European Journal of Applied Mathematics 6 Mathematical Finance 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Journal of Machine Learning Research (JMLR) 6 Communications on Pure and Applied Analysis 6 Nonlinear Analysis. Hybrid Systems 6 Forum of Mathematics, Pi 5 Journal of Mathematical Biology 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Duke Mathematical Journal 5 Proceedings of the London Mathematical Society. Third Series 5 M\(^3\)AS. 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English Series ...and 234 more Serials all top 5 Cited in 59 Fields 1,934 Probability theory and stochastic processes (60-XX) 959 Partial differential equations (35-XX) 425 Dynamical systems and ergodic theory (37-XX) 359 Statistical mechanics, structure of matter (82-XX) 320 Numerical analysis (65-XX) 201 Fluid mechanics (76-XX) 194 Statistics (62-XX) 162 Ordinary differential equations (34-XX) 108 Operator theory (47-XX) 107 Quantum theory (81-XX) 90 Systems theory; control (93-XX) 72 Biology and other natural sciences (92-XX) 60 Functional analysis (46-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Global analysis, analysis on manifolds (58-XX) 47 Associative rings and algebras (16-XX) 42 Real functions (26-XX) 41 Computer science (68-XX) 37 Geophysics (86-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 28 Nonassociative rings and algebras (17-XX) 27 Combinatorics (05-XX) 27 Measure and integration (28-XX) 27 Integral equations (45-XX) 27 Mechanics of particles and systems (70-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 15 General and overarching topics; collections (00-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Operations research, mathematical programming (90-XX) 14 Topological groups, Lie groups (22-XX) 13 Functions of a complex variable (30-XX) 13 Difference and functional equations (39-XX) 13 Approximations and expansions (41-XX) 12 Information and communication theory, circuits (94-XX) 10 Algebraic geometry (14-XX) 10 Differential geometry (53-XX) 10 Mechanics of deformable solids (74-XX) 7 Potential theory (31-XX) 6 History and biography (01-XX) 6 Category theory; homological algebra (18-XX) 6 Abstract harmonic analysis (43-XX) 6 Relativity and gravitational theory (83-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 5 Astronomy and astrophysics (85-XX) 4 Number theory (11-XX) 4 Commutative algebra (13-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 4 General topology (54-XX) 4 Optics, electromagnetic theory (78-XX) 3 General algebraic systems (08-XX) 3 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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