Edit Profile (opens in new tab) Hairer, Martin Compute Distance To: Compute 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 Awards: Fields Medal (2014) · Breakthrough Prize in Mathematics (2021) Documents Indexed: 108 Publications since 2000, including 2 Books 3 Contributions as Editor · 2 Further Contributions Biographic References: 9 Publications Co-Authors: 64 Co-Authors with 87 Joint Publications 1,729 Co-Co-Authors all top 5 Co-Authors 17 single-authored 9 Mattingly, Jonathan Christopher 8 Stuart, Andrew M. 7 Blömker, Dirk 7 Voss, Jochen 5 Eckmann, Jean-Pierre 5 Pardoux, Etienne 5 Weber, Hendrik 4 Bruned, Yvain 4 Zambotti, Lorenzo 3 Labbé, Cyril 3 Manson, Charles 3 Weare, Jonathan Quincy 2 Baudoin, Fabrice 2 Flandoli, Franco 2 Friz, Peter Karl 2 Gerencsér, Máté 2 Gubinelli, Massimiliano 2 Guionnet, Alice 2 Koralov, Leonid B. 2 Maas, Jan 2 Pajor-Gyulai, Zsolt 2 Pillai, Natesh S. 2 Shen, Hao 2 Xu, Weijun 1 Allman, Michael 1 Apte, Amit 1 Bass, Richard F. 1 Betz, Volker 1 Bou-Rabee, Nawaf M. 1 Bréhier, Charles-Edouard 1 Burdzy, Krzysztof 1 Cass, Thomas Richard 1 Chandra, Ajay 1 Chen, Zhen-Qing 1 Chevyrev, Ilya 1 Cloez, Bertrand 1 Coti Zelati, Michele 1 Cuneo, Noé 1 Erhard, Dirk 1 Gerasimovičs, Andris 1 Hairer, Ernst 1 Hutzenthaler, Martin 1 Iberti, Massimo 1 Iyer, Gautam 1 Jentzen, Arnulf 1 Litterer, Christian 1 Majda, Andrew J. 1 Miermont, Grégory 1 Novikov, Alexei 1 Pavliotis, Greg A. 1 Pavliotis, Grigorios A. 1 Persson, Ulf A. 1 Piatnitski, Andrey L. 1 Quastel, Jeremy 1 Rey-Bellet, Luc 1 Romito, Marco 1 Ryser, Marc Daniel 1 Scheutzow, Michael K. R. 1 Schönbauer, Philipp 1 Souganidis, Panagiotis E. 1 Steele, Rhys 1 Teichmann, Josef 1 Tindel, Samy 1 Tzvetkov, Nikolay 1 Vollmer, Sebastian J. 1 Werner, Wendelin 1 Wiberg, Petter all top 5 Serials 13 The Annals of Probability 9 Communications in Mathematical Physics 8 Communications on Pure and Applied Mathematics 8 Probability Theory and Related Fields 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Electronic Journal of Probability 4 Journal of Statistical Physics 4 Nonlinearity 3 Journal of Functional Analysis 3 The Annals of Applied Probability 2 Inventiones Mathematicae 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 Oberwolfach Reports 2 Forum of Mathematics, Pi 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Universitext 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Numerical Analysis 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 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 all top 5 Fields 95 Probability theory and stochastic processes (60-XX) 46 Partial differential equations (35-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Statistical mechanics, structure of matter (82-XX) 13 Numerical analysis (65-XX) 9 Quantum theory (81-XX) 6 Fluid mechanics (76-XX) 5 Ordinary differential equations (34-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Operator theory (47-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-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 103 Publications have been cited 2,895 times in 1,601 Documents Cited by ▼ Year ▼ A theory of regularity structures. Zbl 1332.60093Hairer, M. 250 2014 A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013Friz, Peter K.; Hairer, Martin 192 2014 Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038Hairer, Martin; Mattingly, Jonathan C. 190 2006 Solving the KPZ equation. Zbl 1281.60060Hairer, Martin 187 2013 Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Zbl 1238.60082Hairer, M.; Mattingly, J. C.; Scheutzow, M. 98 2011 Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082Hairer, Martin; Mattingly, Jonathan C. 95 2011 Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005Hairer, Martin; Mattingly, Jonathan C. 76 2008 A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062Hairer, Martin; Pardoux, Étienne 73 2015 A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072Hairer, Martin; Mattingly, Jonathan C. 64 2011 Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094Cloez, Bertrand; Hairer, Martin 59 2015 Exponential mixing properties of stochastic PDEs through asymptotic coupling. Zbl 1032.60056Hairer, M. 57 2002 A simple framework to justify linear response theory. Zbl 1186.82006Hairer, Martin; Majda, Andrew J. 54 2010 Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J. 51 2014 Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045Hairer, Martin 51 2005 Algebraic renormalisation of regularity structures. Zbl 1481.16038Bruned, Y.; Hairer, M.; Zambotti, L. 49 2019 Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Zbl 1044.82008Eckmann, J.-P.; Hairer, M. 44 2000 A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038Baudoin, Fabrice; Hairer, Martin 44 2007 Spectral properties of hypoelliptic operators. Zbl 1040.35016Eckmann, J.-P.; Hairer, M. 43 2003 Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329Hairer, M.; Stuart, A. M.; Voss, J. 41 2007 On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085Hairer, Martin 37 2011 Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Zbl 0983.60058Eckmann, J.-P.; Hairer, M. 36 2001 Rough stochastic PDEs. Zbl 1229.60079Hairer, M. 36 2011 Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068Hairer, Martin; Pillai, Natesh S. 35 2013 Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083Hairer, M.; Pillai, N. S. 34 2011 Loss of regularity for Kolmogorov equations. Zbl 1322.35083Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf 34 2015 A class of growth models rescaling to KPZ. Zbl 1429.60057Hairer, Martin; Quastel, Jeremy 34 2018 Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy 33 2015 Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052Hairer, M.; Ohashi, A. 31 2007 Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141Hairer, Martin; Weber, Hendrik 29 2015 Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P. 28 2005 Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012Bou-Rabee, N.; Hairer, M. 27 2013 The dynamical sine-Gordon model. Zbl 1336.60120Hairer, Martin; Shen, Hao 26 2016 A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094Hairer, Martin; Labbé, Cyril 26 2015 Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055Hairer, Martin; Weber, Hendrik 25 2013 Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J. 25 2007 Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102Hairer, Martin; Labbé, Cyril 25 2018 GniCodes –Matlab programs for geometric numerical integration. Zbl 1028.65136Hairer, Ernst; Hairer, Martin 24 2003 A central limit theorem for the KPZ equation. Zbl 1388.60111Hairer, Martin; Shen, Hao 23 2017 Geometric versus non-geometric rough paths. Zbl 1314.60115Hairer, Martin; Kelly, David 22 2015 Triviality of the 2D stochastic Allen-Cahn equation. Zbl 1245.60063Hairer, Martin; Ryser, Marc Daniel; Weber, Hendrik 22 2012 Discretisations of rough stochastic PDEs. Zbl 1406.60094Hairer, M.; Matetski, K. 22 2018 Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012Hairer, Martin; Mattingly, Jonathan C. 21 2009 Invariant measures for stochastic partial differential equations in unbounded domains. Zbl 0970.60071Eckmann, J.-P.; Hairer, M. 21 2001 The strong Feller property for singular stochastic PDEs. Zbl 1426.60088Hairer, M.; Mattingly, J. 21 2018 Introduction to regularity structures. Zbl 1316.81061Hairer, Martin 20 2015 Approximating rough stochastic PDEs. Zbl 1302.60095Hairer, Martin; Maas, Jan; Weber, Hendrik 20 2014 Approximations to the stochastic Burgers equation. Zbl 1273.60004Hairer, Martin; Voss, Jochen 18 2011 Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004Blömker, D.; Hairer, M.; Pavliotis, G. A. 18 2007 Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052Hairer, Martin 17 2009 Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026Hairer, M.; Pavliotis, G. A. 17 2004 From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015Hairer, M.; Pavliotis, G. A. 16 2008 Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012Hairer, M.; Stuart, A.; Voss, J. 14 2011 Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M. 14 2008 The reconstruction theorem in Besov spaces. Zbl 1380.46031Hairer, Martin; Labbé, Cyril 13 2017 A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060Hairer, Martin; Maas, Jan 13 2012 Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60073Hairer, Martin; Mattingly, Jonathan C. 13 2004 Renormalising SPDEs in regularity structures. Zbl 1465.60057Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin 13 2021 Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc 12 2018 Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015Hairer, Martin; Pardoux, Etienne 12 2008 How hot can a heat bath get? Zbl 1190.82022Hairer, Martin 11 2009 Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038Blömker, D.; Hairer, M.; Pavliotis, G. A. 11 2005 Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087Hairer, Martin; Li, Xue-Mei 11 2020 Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne 11 2004 Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057Blömker, Dirk; Hairer, Martin 11 2004 A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt 10 2018 Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069Hairer, M.; Matetski, K. 9 2016 Singular SPDEs in domains with boundaries. Zbl 1411.60097Gerencsér, Máté; Hairer, Martin 9 2019 A solution theory for quasilinear singular SPDEs. Zbl 1458.60077Gerencsér, Máté; Hairer, Martin 9 2019 Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef 9 2008 Singular stochastic PDEs. Zbl 1373.60110Hairer, Martin 8 2014 Sampling conditioned diffusions. Zbl 1203.60100Hairer, Martin; Stuart, Andrew; Voß, Jochen 8 2009 Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060Blömker, Dirk; Hairer, Martin 8 2004 Improved diffusion Monte Carlo. Zbl 1314.65008Hairer, Martin; Weare, Jonathan 7 2014 Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052Hairer, Martin 7 2012 An analyst’s take on the BPHZ theorem. Zbl 1408.60049Hairer, Martin 7 2018 Stationary distributions for diffusions with inert drift. Zbl 1210.60058Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin 7 2010 Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085Hairer, Martin; Xu, Weijun 7 2018 Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey 6 2013 Hörmander’s theorem for semilinear SPDEs. Zbl 1462.60084Gerasimovičs, Andris; Hairer, Martin 6 2019 Discretisation of regularity structures. Zbl 1450.60065Erhard, Dirk; Hairer, Martin 6 2019 Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044Hairer, Martin; Manson, Charles 5 2011 Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062Hairer, Martin; Stuart, Andrew M.; Voss, Jochen 5 2011 Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M. 5 2018 A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002Friz, Peter K.; Hairer, Martin 5 2020 From averaging to homogenization in cellular flows – an exact description of the transition. Zbl 1356.35033Hairer, Martin; Koralov, Leonid; Pajor-Gyulai, Zsolt 4 2016 Singular stochastic PDEs. Zbl 1373.60111Hairer, Martin 4 2014 Exponential mixing for a stochastic partial differential equation driven by degenerate noise. Zbl 0992.60067Hairer, M. 4 2002 Geometric stochastic heat equations. Zbl 1476.60101Bruned, Y.; Gabriel, F.; Hairer, M.; Zambotti, L. 4 2022 Coupling stochastic PDEs. Zbl 1122.35383Hairer, Martin 3 2005 Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129Hairer, Martin; Manson, Charles 3 2010 A chain of interacting particles under strain. Zbl 1237.60066Allman, Michael; Betz, Volker; Hairer, Martin 3 2011 Renormalisation of stochastic partial differential equations. Zbl 1447.35399Bruned, Yvain; Hairer, Martin; Zambotti, Lorenzo 3 2020 Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055Hairer, Martin 3 2018 Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243Hairer, Martin; Pardoux, Étienne 3 2021 Large scale limit of interface fluctuation models. Zbl 1453.60120Hairer, Martin; Xu, Weijun 3 2019 A noise-induced transition in the Lorenz system. Zbl 1461.93484Coti Zelati, Michele; Hairer, Martin 3 2021 Some remarks on stabilization by additive noise. Zbl 1279.60076Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A. 2 2010 The Brownian fan. Zbl 1302.60106Hairer, Martin; Weare, Jonathan 2 2015 Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057Blömker, Dirk; Hairer, Martin 2 2005 Tightness of the Ising-Kac model on the two-dimensional torus. Zbl 1395.82134Hairer, Martin; Iberti, Massimo 2 2018 Geometric stochastic heat equations. Zbl 1476.60101Bruned, Y.; Gabriel, F.; Hairer, M.; Zambotti, L. 4 2022 The support of singular stochastic partial differential equations. Zbl 07457800Hairer, Martin; Schönbauer, Philipp 2 2022 Renormalising SPDEs in regularity structures. Zbl 1465.60057Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin 13 2021 Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243Hairer, Martin; Pardoux, Étienne 3 2021 A noise-induced transition in the Lorenz system. Zbl 1461.93484Coti Zelati, Michele; Hairer, Martin 3 2021 Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087Hairer, Martin; Li, Xue-Mei 11 2020 A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002Friz, Peter K.; Hairer, Martin 5 2020 Renormalisation of stochastic partial differential equations. Zbl 1447.35399Bruned, Yvain; Hairer, Martin; Zambotti, Lorenzo 3 2020 Algebraic renormalisation of regularity structures. Zbl 1481.16038Bruned, Y.; Hairer, M.; Zambotti, L. 49 2019 Singular SPDEs in domains with boundaries. Zbl 1411.60097Gerencsér, Máté; Hairer, Martin 9 2019 A solution theory for quasilinear singular SPDEs. Zbl 1458.60077Gerencsér, Máté; Hairer, Martin 9 2019 Hörmander’s theorem for semilinear SPDEs. Zbl 1462.60084Gerasimovičs, Andris; Hairer, Martin 6 2019 Discretisation of regularity structures. Zbl 1450.60065Erhard, Dirk; Hairer, Martin 6 2019 Large scale limit of interface fluctuation models. Zbl 1453.60120Hairer, Martin; Xu, Weijun 3 2019 A class of growth models rescaling to KPZ. Zbl 1429.60057Hairer, Martin; Quastel, Jeremy 34 2018 Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102Hairer, Martin; Labbé, Cyril 25 2018 Discretisations of rough stochastic PDEs. Zbl 1406.60094Hairer, M.; Matetski, K. 22 2018 The strong Feller property for singular stochastic PDEs. Zbl 1426.60088Hairer, M.; Mattingly, J. 21 2018 Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc 12 2018 A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt 10 2018 An analyst’s take on the BPHZ theorem. Zbl 1408.60049Hairer, Martin 7 2018 Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085Hairer, Martin; Xu, Weijun 7 2018 Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M. 5 2018 Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055Hairer, Martin 3 2018 Tightness of the Ising-Kac model on the two-dimensional torus. Zbl 1395.82134Hairer, Martin; Iberti, Massimo 2 2018 A central limit theorem for the KPZ equation. Zbl 1388.60111Hairer, Martin; Shen, Hao 23 2017 The reconstruction theorem in Besov spaces. Zbl 1380.46031Hairer, Martin; Labbé, Cyril 13 2017 The dynamical sine-Gordon model. Zbl 1336.60120Hairer, Martin; Shen, Hao 26 2016 Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069Hairer, M.; Matetski, K. 9 2016 From averaging to homogenization in cellular flows – an exact description of the transition. Zbl 1356.35033Hairer, Martin; Koralov, Leonid; Pajor-Gyulai, Zsolt 4 2016 A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062Hairer, Martin; Pardoux, Étienne 73 2015 Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094Cloez, Bertrand; Hairer, Martin 59 2015 Loss of regularity for Kolmogorov equations. Zbl 1322.35083Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf 34 2015 Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy 33 2015 Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141Hairer, Martin; Weber, Hendrik 29 2015 A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094Hairer, Martin; Labbé, Cyril 26 2015 Geometric versus non-geometric rough paths. Zbl 1314.60115Hairer, Martin; Kelly, David 22 2015 Introduction to regularity structures. Zbl 1316.81061Hairer, Martin 20 2015 The Brownian fan. Zbl 1302.60106Hairer, Martin; Weare, Jonathan 2 2015 A theory of regularity structures. Zbl 1332.60093Hairer, M. 250 2014 A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013Friz, Peter K.; Hairer, Martin 192 2014 Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J. 51 2014 Approximating rough stochastic PDEs. Zbl 1302.60095Hairer, Martin; Maas, Jan; Weber, Hendrik 20 2014 Singular stochastic PDEs. Zbl 1373.60110Hairer, Martin 8 2014 Improved diffusion Monte Carlo. Zbl 1314.65008Hairer, Martin; Weare, Jonathan 7 2014 Singular stochastic PDEs. Zbl 1373.60111Hairer, Martin 4 2014 Solving the KPZ equation. Zbl 1281.60060Hairer, Martin 187 2013 Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068Hairer, Martin; Pillai, Natesh S. 35 2013 Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012Bou-Rabee, N.; Hairer, M. 27 2013 Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055Hairer, Martin; Weber, Hendrik 25 2013 Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey 6 2013 Erratum to: “Rough Burgers-like equations with multiplicative noise”. Zbl 1285.60062Hairer, Martin; Weber, Hendrik 1 2013 Triviality of the 2D stochastic Allen-Cahn equation. Zbl 1245.60063Hairer, Martin; Ryser, Marc Daniel; Weber, Hendrik 22 2012 A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060Hairer, Martin; Maas, Jan 13 2012 Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052Hairer, Martin 7 2012 Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Zbl 1238.60082Hairer, M.; Mattingly, J. C.; Scheutzow, M. 98 2011 Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082Hairer, Martin; Mattingly, Jonathan C. 95 2011 A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072Hairer, Martin; Mattingly, Jonathan C. 64 2011 On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085Hairer, Martin 37 2011 Rough stochastic PDEs. Zbl 1229.60079Hairer, M. 36 2011 Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083Hairer, M.; Pillai, N. S. 34 2011 Approximations to the stochastic Burgers equation. Zbl 1273.60004Hairer, Martin; Voss, Jochen 18 2011 Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012Hairer, M.; Stuart, A.; Voss, J. 14 2011 Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044Hairer, Martin; Manson, Charles 5 2011 Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062Hairer, Martin; Stuart, Andrew M.; Voss, Jochen 5 2011 A chain of interacting particles under strain. Zbl 1237.60066Allman, Michael; Betz, Volker; Hairer, Martin 3 2011 A simple framework to justify linear response theory. Zbl 1186.82006Hairer, Martin; Majda, Andrew J. 54 2010 Stationary distributions for diffusions with inert drift. Zbl 1210.60058Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin 7 2010 Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129Hairer, Martin; Manson, Charles 3 2010 Some remarks on stabilization by additive noise. Zbl 1279.60076Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A. 2 2010 Hypoellipticity in infinite dimensions. Zbl 1276.60066Hairer, Martin 1 2010 Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012Hairer, Martin; Mattingly, Jonathan C. 21 2009 Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052Hairer, Martin 17 2009 How hot can a heat bath get? Zbl 1190.82022Hairer, Martin 11 2009 Sampling conditioned diffusions. Zbl 1203.60100Hairer, Martin; Stuart, Andrew; Voß, Jochen 8 2009 Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005Hairer, Martin; Mattingly, Jonathan C. 76 2008 From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015Hairer, M.; Pavliotis, G. A. 16 2008 Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M. 14 2008 Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015Hairer, Martin; Pardoux, Etienne 12 2008 Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef 9 2008 A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038Baudoin, Fabrice; Hairer, Martin 44 2007 Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329Hairer, M.; Stuart, A. M.; Voss, J. 41 2007 Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052Hairer, M.; Ohashi, A. 31 2007 Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J. 25 2007 Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004Blömker, D.; Hairer, M.; Pavliotis, G. A. 18 2007 Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038Hairer, Martin; Mattingly, Jonathan C. 190 2006 Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045Hairer, Martin 51 2005 Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P. 28 2005 Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038Blömker, D.; Hairer, M.; Pavliotis, G. A. 11 2005 Coupling stochastic PDEs. Zbl 1122.35383Hairer, Martin 3 2005 Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057Blömker, Dirk; Hairer, Martin 2 2005 Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026Hairer, M.; Pavliotis, G. A. 17 2004 Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60073Hairer, Martin; Mattingly, Jonathan C. 13 2004 Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne 11 2004 Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057Blömker, Dirk; Hairer, Martin 11 2004 Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060Blömker, Dirk; Hairer, Martin 8 2004 Spectral properties of hypoelliptic operators. Zbl 1040.35016Eckmann, J.-P.; Hairer, M. 43 2003 GniCodes –Matlab programs for geometric numerical integration. Zbl 1028.65136Hairer, Ernst; Hairer, Martin 24 2003 Exponential mixing properties of stochastic PDEs through asymptotic coupling. Zbl 1032.60056Hairer, M. 57 2002 Exponential mixing for a stochastic partial differential equation driven by degenerate noise. Zbl 0992.60067Hairer, M. 4 2002 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,687 Authors 63 Hairer, Martin 29 Stuart, Andrew M. 28 Friz, Peter Karl 27 Tindel, Samy 21 Blömker, Dirk 21 Gubinelli, Massimiliano 19 Jentzen, Arnulf 19 Mattingly, Jonathan Christopher 17 Stoltz, Gabriel 17 Weber, Hendrik 17 Zhu, RongChan 16 Bailleul, Ismaël F. 16 Röckner, Michael 15 Glatt-Holtz, Nathan E. 15 Majda, Andrew J. 15 Perkowski, Nicolas 15 Xu, Lihu 13 Corwin, Ivan Z. 13 Kühn, Christian 13 Kuksin, Sergeĭ B. 13 Ouyang, Cheng 13 Pavliotis, Grigorios A. 13 Yuan, Chenggui 13 Zhu, Xiang-Chan 12 Bao, Jianhai 12 Cass, Thomas Richard 12 Deya, Aurélien 12 Riedel, Sebastian 12 Scheutzow, Michael K. R. 12 Wang, Bixiang 11 Baudoin, Fabrice 11 Gu, Yu 11 Oh, Tadahiro 11 Shao, Jinghai 10 Brzeźniak, Zdzisław 10 Debussche, Arnaud 10 Horbacz, Katarzyna 10 Shirikyan, Armen R. 9 Diehl, Joscha 9 Hoshino, Masato 9 Hutzenthaler, Martin 9 Komorowski, Tomasz 9 Liu, Wei 9 Mohammed, Wael W. 9 Nersesyan, Vahagn 9 Pardoux, Etienne 9 Prömel, David J. 9 Quastel, Jeremy 9 Romito, Marco 9 Yamazaki, Kazuo 8 Bakhtin, Yuri Yu. 8 Czapla, Dawid 8 Eberle, Andreas 8 Herzog, David P. 8 Hofmanová, Martina 8 Inahama, Yuzuru 8 Jara, Milton D. 8 Liu, Xianming 8 Lucarini, Valerio 8 Pillai, Natesh S. 8 Razafimandimby, Paul André 8 Szarek, Tomasz Jakub 7 Bedrossian, Jacob 7 Bruned, Yvain 7 Chevyrev, Ilya 7 Dong, Zhao 7 Duan, Jinqiao 7 Garrido-Atienza, María José 7 Gess, Benjamin 7 Hille, Sander Cornelis 7 Lejay, Antoine 7 Li, Shihu 7 Lu, Kening 7 Nilssen, Torstein K. 7 Ottobre, Michela 7 Panloup, Fabien 7 Tong, Xin Thomson 7 Tsai, Li-cheng 7 Wojewódka-Ściążko, Hanna 6 Beskos, Alexandros 6 Bessaih, Hakima 6 Bou-Rabee, Nawaf M. 6 Catellier, Rémi 6 Cerrai, Sandra 6 Chen, Guanggan 6 Da Prato, Giuseppe 6 Földes, Juraj 6 Gonçalves, Patrícia C. 6 Hausenblas, Erika 6 Huang, Jianhua 6 Labbé, Cyril 6 Li, Yao 6 Marzouk, Youssef M. 6 Neamţu, Alexandra 6 Neuenkirch, Andreas 6 Peng, Xuhui 6 Roberts, Gareth O. 6 Schmalfuß, Björn 6 Shen, Hao 6 Vanden-Eijnden, Eric ...and 1,587 more Authors all top 5 Cited in 261 Serials 95 Stochastic Processes and their Applications 81 Journal of Statistical Physics 62 Communications in Mathematical Physics 60 The Annals of Probability 51 Journal of Differential Equations 48 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 43 The Annals of Applied Probability 42 Journal of Functional Analysis 40 Stochastic and Partial Differential Equations. Analysis and Computations 38 Probability Theory and Related Fields 37 Electronic Journal of Probability 34 Journal of Mathematical Analysis and Applications 28 Bernoulli 28 Stochastics and Dynamics 25 Physica D 23 SIAM Journal on Mathematical Analysis 22 Nonlinearity 19 Journal of Mathematical Physics 19 Journal of Theoretical Probability 19 Discrete and Continuous Dynamical Systems 19 Discrete and Continuous Dynamical Systems. Series B 18 Stochastic Analysis and Applications 17 Transactions of the American Mathematical Society 17 Electronic Communications in Probability 16 Journal of Computational Physics 13 Archive for Rational Mechanics and Analysis 13 Communications on Pure and Applied Mathematics 13 SIAM/ASA Journal on Uncertainty Quantification 12 Statistics & Probability Letters 12 Potential Analysis 12 Journal of Evolution Equations 12 Statistics and Computing 11 Chaos 9 Applied Mathematics and Optimization 9 SIAM Journal on Control and Optimization 8 Inverse Problems 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Scientific Computing 8 SIAM Review 8 Journal of Dynamics and Differential Equations 8 Journal of Nonlinear Science 8 SIAM Journal on Scientific Computing 8 Science China. Mathematics 7 Journal of Computational and Applied Mathematics 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Advances in Applied Probability 6 The Annals of Statistics 6 Journal of the Mathematical Society of Japan 6 Memoirs of the American Mathematical Society 6 SIAM Journal on Numerical Analysis 6 Applied Mathematics Letters 6 NoDEA. Nonlinear Differential Equations and Applications 6 Annales Henri Poincaré 6 Electronic Journal of Statistics 6 Forum of Mathematics, Pi 6 Annales Henri Lebesgue 5 Journal of Mathematical Biology 5 Inventiones Mathematicae 5 Journal of Algebra 5 Numerische Mathematik 5 Proceedings of the American Mathematical Society 5 Applied Numerical Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Bulletin des Sciences Mathématiques 5 Statistical Inference for Stochastic Processes 5 Acta Mathematica Sinica. English Series 5 SIAM Journal on Applied Dynamical Systems 5 Journal of Statistical Mechanics: Theory and Experiment 5 ALEA. Latin American Journal of Probability and Mathematical Statistics 5 Forum of Mathematics, Sigma 4 Applicable Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Chaos, Solitons and Fractals 4 European Journal of Applied Mathematics 4 Communications in Partial Differential Equations 4 International Journal of Computer Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Journal of the European Mathematical Society (JEMS) 4 Communications on Pure and Applied Analysis 4 Multiscale Modeling & Simulation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Frontiers of Mathematics in China 4 Nonlinear Analysis. Hybrid Systems 4 Kinetic and Related Models 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 SIAM Journal on Mathematics of Data Science 3 Applied Mathematics and Computation 3 Duke Mathematical Journal 3 Journal of Applied Probability 3 Osaka Journal of Mathematics 3 Systems & Control Letters 3 Asymptotic Analysis 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Proceedings of the National Academy of Sciences of the United States of America 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Finance and Stochastics 3 Annals of Mathematics. Second Series ...and 161 more Serials all top 5 Cited in 56 Fields 1,228 Probability theory and stochastic processes (60-XX) 580 Partial differential equations (35-XX) 265 Dynamical systems and ergodic theory (37-XX) 238 Statistical mechanics, structure of matter (82-XX) 226 Numerical analysis (65-XX) 124 Fluid mechanics (76-XX) 122 Statistics (62-XX) 114 Ordinary differential equations (34-XX) 78 Operator theory (47-XX) 66 Systems theory; control (93-XX) 61 Quantum theory (81-XX) 46 Biology and other natural sciences (92-XX) 33 Global analysis, analysis on manifolds (58-XX) 30 Functional analysis (46-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Geophysics (86-XX) 22 Computer science (68-XX) 21 Real functions (26-XX) 20 Associative rings and algebras (16-XX) 19 Measure and integration (28-XX) 18 Integral equations (45-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Combinatorics (05-XX) 13 Operations research, mathematical programming (90-XX) 12 Nonassociative rings and algebras (17-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Mechanics of particles and systems (70-XX) 9 Topological groups, Lie groups (22-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Information and communication theory, circuits (94-XX) 7 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 6 Abstract harmonic analysis (43-XX) 5 Algebraic geometry (14-XX) 5 Potential theory (31-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 5 Astronomy and astrophysics (85-XX) 4 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Category theory; homological algebra (18-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.