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Author ID: hairer.martin Recent zbMATH articles by "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)
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

Publications by Year

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 1332.60093
Hairer, M.
250
2014
A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013
Friz, Peter K.; Hairer, Martin
192
2014
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038
Hairer, Martin; Mattingly, Jonathan C.
190
2006
Solving the KPZ equation. Zbl 1281.60060
Hairer, Martin
187
2013
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.
98
2011
Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082
Hairer, Martin; Mattingly, Jonathan C.
95
2011
Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005
Hairer, Martin; Mattingly, Jonathan C.
76
2008
A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062
Hairer, Martin; Pardoux, Étienne
73
2015
A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072
Hairer, Martin; Mattingly, Jonathan C.
64
2011
Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094
Cloez, Bertrand; Hairer, Martin
59
2015
Exponential mixing properties of stochastic PDEs through asymptotic coupling. Zbl 1032.60056
Hairer, M.
57
2002
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
54
2010
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
51
2014
Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045
Hairer, Martin
51
2005
Algebraic renormalisation of regularity structures. Zbl 1481.16038
Bruned, Y.; Hairer, M.; Zambotti, L.
49
2019
Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Zbl 1044.82008
Eckmann, J.-P.; Hairer, M.
44
2000
A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038
Baudoin, Fabrice; Hairer, Martin
44
2007
Spectral properties of hypoelliptic operators. Zbl 1040.35016
Eckmann, J.-P.; Hairer, M.
43
2003
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
41
2007
On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085
Hairer, Martin
37
2011
Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Zbl 0983.60058
Eckmann, J.-P.; Hairer, M.
36
2001
Rough stochastic PDEs. Zbl 1229.60079
Hairer, M.
36
2011
Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068
Hairer, Martin; Pillai, Natesh S.
35
2013
Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083
Hairer, M.; Pillai, N. S.
34
2011
Loss of regularity for Kolmogorov equations. Zbl 1322.35083
Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf
34
2015
A class of growth models rescaling to KPZ. Zbl 1429.60057
Hairer, Martin; Quastel, Jeremy
34
2018
Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy
33
2015
Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052
Hairer, M.; Ohashi, A.
31
2007
Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141
Hairer, Martin; Weber, Hendrik
29
2015
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
28
2005
Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012
Bou-Rabee, N.; Hairer, M.
27
2013
The dynamical sine-Gordon model. Zbl 1336.60120
Hairer, Martin; Shen, Hao
26
2016
A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094
Hairer, Martin; Labbé, Cyril
26
2015
Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055
Hairer, Martin; Weber, Hendrik
25
2013
Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026
Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J.
25
2007
Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102
Hairer, Martin; Labbé, Cyril
25
2018
GniCodes –Matlab programs for geometric numerical integration. Zbl 1028.65136
Hairer, Ernst; Hairer, Martin
24
2003
A central limit theorem for the KPZ equation. Zbl 1388.60111
Hairer, Martin; Shen, Hao
23
2017
Geometric versus non-geometric rough paths. Zbl 1314.60115
Hairer, Martin; Kelly, David
22
2015
Triviality of the 2D stochastic Allen-Cahn equation. Zbl 1245.60063
Hairer, Martin; Ryser, Marc Daniel; Weber, Hendrik
22
2012
Discretisations of rough stochastic PDEs. Zbl 1406.60094
Hairer, M.; Matetski, K.
22
2018
Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012
Hairer, Martin; Mattingly, Jonathan C.
21
2009
Invariant measures for stochastic partial differential equations in unbounded domains. Zbl 0970.60071
Eckmann, J.-P.; Hairer, M.
21
2001
The strong Feller property for singular stochastic PDEs. Zbl 1426.60088
Hairer, M.; Mattingly, J.
21
2018
Introduction to regularity structures. Zbl 1316.81061
Hairer, Martin
20
2015
Approximating rough stochastic PDEs. Zbl 1302.60095
Hairer, Martin; Maas, Jan; Weber, Hendrik
20
2014
Approximations to the stochastic Burgers equation. Zbl 1273.60004
Hairer, Martin; Voss, Jochen
18
2011
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
18
2007
Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052
Hairer, Martin
17
2009
Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026
Hairer, M.; Pavliotis, G. A.
17
2004
From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015
Hairer, M.; Pavliotis, G. A.
16
2008
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
14
2011
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
14
2008
The reconstruction theorem in Besov spaces. Zbl 1380.46031
Hairer, Martin; Labbé, Cyril
13
2017
A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060
Hairer, Martin; Maas, Jan
13
2012
Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60073
Hairer, Martin; Mattingly, Jonathan C.
13
2004
Renormalising SPDEs in regularity structures. Zbl 1465.60057
Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin
13
2021
Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc
12
2018
Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015
Hairer, Martin; Pardoux, Etienne
12
2008
How hot can a heat bath get? Zbl 1190.82022
Hairer, Martin
11
2009
Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038
Blömker, D.; Hairer, M.; Pavliotis, G. A.
11
2005
Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087
Hairer, Martin; Li, Xue-Mei
11
2020
Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074
Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne
11
2004
Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057
Blömker, Dirk; Hairer, Martin
11
2004
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
10
2018
Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069
Hairer, M.; Matetski, K.
9
2016
Singular SPDEs in domains with boundaries. Zbl 1411.60097
Gerencsér, Máté; Hairer, Martin
9
2019
A solution theory for quasilinear singular SPDEs. Zbl 1458.60077
Gerencsér, Máté; Hairer, Martin
9
2019
Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018
Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef
9
2008
Singular stochastic PDEs. Zbl 1373.60110
Hairer, Martin
8
2014
Sampling conditioned diffusions. Zbl 1203.60100
Hairer, Martin; Stuart, Andrew; Voß, Jochen
8
2009
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
7
2014
Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052
Hairer, Martin
7
2012
An analyst’s take on the BPHZ theorem. Zbl 1408.60049
Hairer, Martin
7
2018
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
7
2010
Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085
Hairer, Martin; Xu, Weijun
7
2018
Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230
Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey
6
2013
Hörmander’s theorem for semilinear SPDEs. Zbl 1462.60084
Gerasimovičs, Andris; Hairer, Martin
6
2019
Discretisation of regularity structures. Zbl 1450.60065
Erhard, Dirk; Hairer, Martin
6
2019
Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044
Hairer, Martin; Manson, Charles
5
2011
Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen
5
2011
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
5
2018
A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002
Friz, Peter K.; Hairer, Martin
5
2020
From averaging to homogenization in cellular flows – an exact description of the transition. Zbl 1356.35033
Hairer, Martin; Koralov, Leonid; Pajor-Gyulai, Zsolt
4
2016
Singular stochastic PDEs. Zbl 1373.60111
Hairer, Martin
4
2014
Exponential mixing for a stochastic partial differential equation driven by degenerate noise. Zbl 0992.60067
Hairer, M.
4
2002
Geometric stochastic heat equations. Zbl 1476.60101
Bruned, Y.; Gabriel, F.; Hairer, M.; Zambotti, L.
4
2022
Coupling stochastic PDEs. Zbl 1122.35383
Hairer, Martin
3
2005
Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129
Hairer, Martin; Manson, Charles
3
2010
A chain of interacting particles under strain. Zbl 1237.60066
Allman, Michael; Betz, Volker; Hairer, Martin
3
2011
Renormalisation of stochastic partial differential equations. Zbl 1447.35399
Bruned, Yvain; Hairer, Martin; Zambotti, Lorenzo
3
2020
Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055
Hairer, Martin
3
2018
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
3
2021
Large scale limit of interface fluctuation models. Zbl 1453.60120
Hairer, Martin; Xu, Weijun
3
2019
A noise-induced transition in the Lorenz system. Zbl 1461.93484
Coti Zelati, Michele; Hairer, Martin
3
2021
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
2
2010
The Brownian fan. Zbl 1302.60106
Hairer, Martin; Weare, Jonathan
2
2015
Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057
Blömker, Dirk; Hairer, Martin
2
2005
Tightness of the Ising-Kac model on the two-dimensional torus. Zbl 1395.82134
Hairer, Martin; Iberti, Massimo
2
2018
Geometric stochastic heat equations. Zbl 1476.60101
Bruned, Y.; Gabriel, F.; Hairer, M.; Zambotti, L.
4
2022
The support of singular stochastic partial differential equations. Zbl 07457800
Hairer, Martin; Schönbauer, Philipp
2
2022
Renormalising SPDEs in regularity structures. Zbl 1465.60057
Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin
13
2021
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
3
2021
A noise-induced transition in the Lorenz system. Zbl 1461.93484
Coti Zelati, Michele; Hairer, Martin
3
2021
Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087
Hairer, Martin; Li, Xue-Mei
11
2020
A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002
Friz, Peter K.; Hairer, Martin
5
2020
Renormalisation of stochastic partial differential equations. Zbl 1447.35399
Bruned, Yvain; Hairer, Martin; Zambotti, Lorenzo
3
2020
Algebraic renormalisation of regularity structures. Zbl 1481.16038
Bruned, Y.; Hairer, M.; Zambotti, L.
49
2019
Singular SPDEs in domains with boundaries. Zbl 1411.60097
Gerencsér, Máté; Hairer, Martin
9
2019
A solution theory for quasilinear singular SPDEs. Zbl 1458.60077
Gerencsér, Máté; Hairer, Martin
9
2019
Hörmander’s theorem for semilinear SPDEs. Zbl 1462.60084
Gerasimovičs, Andris; Hairer, Martin
6
2019
Discretisation of regularity structures. Zbl 1450.60065
Erhard, Dirk; Hairer, Martin
6
2019
Large scale limit of interface fluctuation models. Zbl 1453.60120
Hairer, Martin; Xu, Weijun
3
2019
A class of growth models rescaling to KPZ. Zbl 1429.60057
Hairer, Martin; Quastel, Jeremy
34
2018
Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102
Hairer, Martin; Labbé, Cyril
25
2018
Discretisations of rough stochastic PDEs. Zbl 1406.60094
Hairer, M.; Matetski, K.
22
2018
The strong Feller property for singular stochastic PDEs. Zbl 1426.60088
Hairer, M.; Mattingly, J.
21
2018
Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc
12
2018
A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049
Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt
10
2018
An analyst’s take on the BPHZ theorem. Zbl 1408.60049
Hairer, Martin
7
2018
Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085
Hairer, Martin; Xu, Weijun
7
2018
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
5
2018
Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055
Hairer, Martin
3
2018
Tightness of the Ising-Kac model on the two-dimensional torus. Zbl 1395.82134
Hairer, Martin; Iberti, Massimo
2
2018
A central limit theorem for the KPZ equation. Zbl 1388.60111
Hairer, Martin; Shen, Hao
23
2017
The reconstruction theorem in Besov spaces. Zbl 1380.46031
Hairer, Martin; Labbé, Cyril
13
2017
The dynamical sine-Gordon model. Zbl 1336.60120
Hairer, Martin; Shen, Hao
26
2016
Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069
Hairer, M.; Matetski, K.
9
2016
From averaging to homogenization in cellular flows – an exact description of the transition. Zbl 1356.35033
Hairer, Martin; Koralov, Leonid; Pajor-Gyulai, Zsolt
4
2016
A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062
Hairer, Martin; Pardoux, Étienne
73
2015
Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094
Cloez, Bertrand; Hairer, Martin
59
2015
Loss of regularity for Kolmogorov equations. Zbl 1322.35083
Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf
34
2015
Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy
33
2015
Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141
Hairer, Martin; Weber, Hendrik
29
2015
A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094
Hairer, Martin; Labbé, Cyril
26
2015
Geometric versus non-geometric rough paths. Zbl 1314.60115
Hairer, Martin; Kelly, David
22
2015
Introduction to regularity structures. Zbl 1316.81061
Hairer, Martin
20
2015
The Brownian fan. Zbl 1302.60106
Hairer, Martin; Weare, Jonathan
2
2015
A theory of regularity structures. Zbl 1332.60093
Hairer, M.
250
2014
A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013
Friz, Peter K.; Hairer, Martin
192
2014
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
51
2014
Approximating rough stochastic PDEs. Zbl 1302.60095
Hairer, Martin; Maas, Jan; Weber, Hendrik
20
2014
Singular stochastic PDEs. Zbl 1373.60110
Hairer, Martin
8
2014
Improved diffusion Monte Carlo. Zbl 1314.65008
Hairer, Martin; Weare, Jonathan
7
2014
Singular stochastic PDEs. Zbl 1373.60111
Hairer, Martin
4
2014
Solving the KPZ equation. Zbl 1281.60060
Hairer, Martin
187
2013
Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068
Hairer, Martin; Pillai, Natesh S.
35
2013
Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012
Bou-Rabee, N.; Hairer, M.
27
2013
Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055
Hairer, Martin; Weber, Hendrik
25
2013
Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230
Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey
6
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
22
2012
A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060
Hairer, Martin; Maas, Jan
13
2012
Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052
Hairer, Martin
7
2012
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.
98
2011
Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082
Hairer, Martin; Mattingly, Jonathan C.
95
2011
A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072
Hairer, Martin; Mattingly, Jonathan C.
64
2011
On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085
Hairer, Martin
37
2011
Rough stochastic PDEs. Zbl 1229.60079
Hairer, M.
36
2011
Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083
Hairer, M.; Pillai, N. S.
34
2011
Approximations to the stochastic Burgers equation. Zbl 1273.60004
Hairer, Martin; Voss, Jochen
18
2011
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
14
2011
Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044
Hairer, Martin; Manson, Charles
5
2011
Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen
5
2011
A chain of interacting particles under strain. Zbl 1237.60066
Allman, Michael; Betz, Volker; Hairer, Martin
3
2011
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
54
2010
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
7
2010
Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129
Hairer, Martin; Manson, Charles
3
2010
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
2
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.
21
2009
Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052
Hairer, Martin
17
2009
How hot can a heat bath get? Zbl 1190.82022
Hairer, Martin
11
2009
Sampling conditioned diffusions. Zbl 1203.60100
Hairer, Martin; Stuart, Andrew; Voß, Jochen
8
2009
Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005
Hairer, Martin; Mattingly, Jonathan C.
76
2008
From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015
Hairer, M.; Pavliotis, G. A.
16
2008
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
14
2008
Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015
Hairer, Martin; Pardoux, Etienne
12
2008
Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018
Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef
9
2008
A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038
Baudoin, Fabrice; Hairer, Martin
44
2007
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
41
2007
Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052
Hairer, M.; Ohashi, A.
31
2007
Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026
Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J.
25
2007
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
18
2007
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038
Hairer, Martin; Mattingly, Jonathan C.
190
2006
Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045
Hairer, Martin
51
2005
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
28
2005
Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038
Blömker, D.; Hairer, M.; Pavliotis, G. A.
11
2005
Coupling stochastic PDEs. Zbl 1122.35383
Hairer, Martin
3
2005
Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057
Blömker, Dirk; Hairer, Martin
2
2005
Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026
Hairer, M.; Pavliotis, G. A.
17
2004
Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60073
Hairer, Martin; Mattingly, Jonathan C.
13
2004
Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074
Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne
11
2004
Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057
Blömker, Dirk; Hairer, Martin
11
2004
Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060
Blömker, Dirk; Hairer, Martin
8
2004
Spectral properties of hypoelliptic operators. Zbl 1040.35016
Eckmann, J.-P.; Hairer, M.
43
2003
GniCodes –Matlab programs for geometric numerical integration. Zbl 1028.65136
Hairer, Ernst; Hairer, Martin
24
2003
Exponential mixing properties of stochastic PDEs through asymptotic coupling. Zbl 1032.60056
Hairer, M.
57
2002
Exponential mixing for a stochastic partial differential equation driven by degenerate noise. Zbl 0992.60067
Hairer, M.
4
2002
...and 3 more Documents
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
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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)

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