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Hairer, Martin

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Author ID: hairer.martin Recent zbMATH articles by "Hairer, Martin"
Published as: Hairer, M.; Hairer, Martin
Homepage: http://www.hairer.org/
External Links: MGP · Wikidata · MathOverflow · ORCID · ResearchGate · dblp · GND
Awards: Fields Medal (2014) · Breakthrough Prize in Mathematics (2021)
Documents Indexed: 108 Publications since 2000, including 3 Books
Biographic References: 9 Publications

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 2,373 times in 1,323 Documents Cited by Year
A theory of regularity structures. Zbl 1332.60093
Hairer, M.
190
2014
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038
Hairer, Martin; Mattingly, Jonathan C.
172
2006
Solving the KPZ equation. Zbl 1281.60060
Hairer, Martin
168
2013
A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013
Friz, Peter K.; Hairer, Martin
150
2014
Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082
Hairer, Martin; Mattingly, Jonathan C.
79
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.
76
2011
Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005
Hairer, Martin; Mattingly, Jonathan C.
66
2008
A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072
Hairer, Martin; Mattingly, Jonathan C.
58
2011
A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062
Hairer, Martin; Pardoux, Étienne
57
2015
Exponential mixing properties of stochastic PDEs through asymptotic coupling. Zbl 1032.60056
Hairer, M.
51
2002
Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094
Cloez, Bertrand; Hairer, Martin
49
2015
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
45
2010
Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045
Hairer, Martin
45
2005
A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038
Baudoin, Fabrice; Hairer, Martin
42
2007
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
40
2014
Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Zbl 1044.82008
Eckmann, J.-P.; Hairer, M.
40
2000
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
39
2007
Spectral properties of hypoelliptic operators. Zbl 1040.35016
Eckmann, J.-P.; Hairer, M.
35
2003
Rough stochastic PDEs. Zbl 1229.60079
Hairer, M.
33
2011
Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Zbl 0983.60058
Eckmann, J.-P.; Hairer, M.
33
2001
A class of growth models rescaling to KPZ. Zbl 1429.60057
Hairer, Martin; Quastel, Jeremy
32
2018
Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083
Hairer, M.; Pillai, N. S.
31
2011
Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068
Hairer, Martin; Pillai, Natesh S.
30
2013
Algebraic renormalisation of regularity structures. Zbl 07051042
Bruned, Y.; Hairer, M.; Zambotti, L.
29
2019
Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052
Hairer, M.; Ohashi, A.
29
2007
Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy
28
2015
On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085
Hairer, Martin
25
2011
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
25
2005
Loss of regularity for Kolmogorov equations. Zbl 1322.35083
Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf
24
2015
Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141
Hairer, Martin; Weber, Hendrik
24
2015
GniCodes –Matlab programs for geometric numerical integration. Zbl 1028.65136
Hairer, Ernst; Hairer, Martin
23
2003
Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055
Hairer, Martin; Weber, Hendrik
22
2013
A central limit theorem for the KPZ equation. Zbl 1388.60111
Hairer, Martin; Shen, Hao
20
2017
A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094
Hairer, Martin; Labbé, Cyril
20
2015
Approximating rough stochastic PDEs. Zbl 1302.60095
Hairer, Martin; Maas, Jan; Weber, Hendrik
20
2014
Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012
Bou-Rabee, N.; Hairer, M.
20
2013
Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026
Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J.
20
2007
Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102
Hairer, Martin; Labbé, Cyril
19
2018
Triviality of the 2D stochastic Allen-Cahn equation. Zbl 1245.60063
Hairer, Martin; Ryser, Marc Daniel; Weber, Hendrik
19
2012
The dynamical sine-Gordon model. Zbl 1336.60120
Hairer, Martin; Shen, Hao
17
2016
Geometric versus non-geometric rough paths. Zbl 1314.60115
Hairer, Martin; Kelly, David
17
2015
Approximations to the stochastic Burgers equation. Zbl 1273.60004
Hairer, Martin; Voss, Jochen
17
2011
Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012
Hairer, Martin; Mattingly, Jonathan C.
17
2009
Invariant measures for stochastic partial differential equations in unbounded domains. Zbl 0970.60071
Eckmann, J.-P.; Hairer, M.
17
2001
Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052
Hairer, Martin
16
2009
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
16
2007
Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026
Hairer, M.; Pavliotis, G. A.
16
2004
Introduction to regularity structures. Zbl 1316.81061
Hairer, Martin
15
2015
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
13
2011
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
13
2008
Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60073
Hairer, Martin; Mattingly, Jonathan C.
13
2004
The strong Feller property for singular stochastic PDEs. Zbl 1426.60088
Hairer, M.; Mattingly, J.
12
2018
Discretisations of rough stochastic PDEs. Zbl 1406.60094
Hairer, M.; Matetski, K.
12
2018
A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060
Hairer, Martin; Maas, Jan
12
2012
From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015
Hairer, M.; Pavliotis, G. A.
12
2008
Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015
Hairer, Martin; Pardoux, Etienne
11
2008
Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038
Blömker, D.; Hairer, M.; Pavliotis, G. A.
11
2005
Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057
Blömker, Dirk; Hairer, Martin
10
2004
Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074
Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne
10
2004
Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069
Hairer, M.; Matetski, K.
9
2016
Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018
Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef
9
2008
Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc
8
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
8
2018
The reconstruction theorem in Besov spaces. Zbl 1380.46031
Hairer, Martin; Labbé, Cyril
8
2017
How hot can a heat bath get? Zbl 1190.82022
Hairer, Martin
8
2009
Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052
Hairer, Martin
7
2012
Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060
Blömker, Dirk; Hairer, Martin
7
2004
Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085
Hairer, Martin; Xu, Weijun
6
2018
Singular stochastic PDEs. Zbl 1373.60110
Hairer, Martin
6
2014
Improved diffusion Monte Carlo. Zbl 1314.65008
Hairer, Martin; Weare, Jonathan
6
2014
Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230
Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey
6
2013
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
6
2010
Sampling conditioned diffusions. Zbl 1203.60100
Hairer, Martin; Stuart, Andrew; Voß, Jochen
6
2009
Singular SPDEs in domains with boundaries. Zbl 1411.60097
Gerencsér, Máté; Hairer, Martin
5
2019
An analyst’s take on the BPHZ theorem. Zbl 1408.60049
Hairer, Martin
5
2018
Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen
5
2011
Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044
Hairer, Martin; Manson, Charles
5
2011
A solution theory for quasilinear singular SPDEs. Zbl 1458.60077
Gerencsér, Máté; Hairer, Martin
4
2019
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
4
2018
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
Discretisation of regularity structures. Zbl 1450.60065
Erhard, Dirk; Hairer, Martin
3
2019
Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055
Hairer, Martin
3
2018
Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129
Hairer, Martin; Manson, Charles
3
2010
Coupling stochastic PDEs. Zbl 1122.35383
Hairer, Martin
3
2005
Exponential mixing for a stochastic partial differential equation driven by degenerate noise. Zbl 0992.60067
Hairer, M.
3
2002
Large scale limit of interface fluctuation models. Zbl 1453.60120
Hairer, Martin; Xu, Weijun
2
2019
Hörmander’s theorem for semilinear SPDEs. Zbl 07142926
Gerasimovičs, Andris; Hairer, Martin
2
2019
Tightness of the Ising-Kac model on the two-dimensional torus. Zbl 1395.82134
Hairer, Martin; Iberti, Massimo
2
2018
The Brownian fan. Zbl 1302.60106
Hairer, Martin; Weare, Jonathan
2
2015
Renormalising SPDEs in regularity structures. Zbl 07328126
Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin
1
2021
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
1
2021
Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087
Hairer, Martin; Li, Xue-Mei
1
2020
A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002
Friz, Peter K.; Hairer, Martin
1
2020
Erratum to: “Rough Burgers-like equations with multiplicative noise”. Zbl 1285.60062
Hairer, Martin; Weber, Hendrik
1
2013
A chain of interacting particles under strain. Zbl 1237.60066
Allman, Michael; Betz, Volker; Hairer, Martin
1
2011
Hypoellipticity in infinite dimensions. Zbl 1276.60066
Hairer, Martin
1
2010
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
1
2010
Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057
Blömker, Dirk; Hairer, Martin
1
2005
Renormalising SPDEs in regularity structures. Zbl 07328126
Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin
1
2021
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
1
2021
Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087
Hairer, Martin; Li, Xue-Mei
1
2020
A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002
Friz, Peter K.; Hairer, Martin
1
2020
Algebraic renormalisation of regularity structures. Zbl 07051042
Bruned, Y.; Hairer, M.; Zambotti, L.
29
2019
Singular SPDEs in domains with boundaries. Zbl 1411.60097
Gerencsér, Máté; Hairer, Martin
5
2019
A solution theory for quasilinear singular SPDEs. Zbl 1458.60077
Gerencsér, Máté; Hairer, Martin
4
2019
Discretisation of regularity structures. Zbl 1450.60065
Erhard, Dirk; Hairer, Martin
3
2019
Large scale limit of interface fluctuation models. Zbl 1453.60120
Hairer, Martin; Xu, Weijun
2
2019
Hörmander’s theorem for semilinear SPDEs. Zbl 07142926
Gerasimovičs, Andris; Hairer, Martin
2
2019
A class of growth models rescaling to KPZ. Zbl 1429.60057
Hairer, Martin; Quastel, Jeremy
32
2018
Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102
Hairer, Martin; Labbé, Cyril
19
2018
The strong Feller property for singular stochastic PDEs. Zbl 1426.60088
Hairer, M.; Mattingly, J.
12
2018
Discretisations of rough stochastic PDEs. Zbl 1406.60094
Hairer, M.; Matetski, K.
12
2018
Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc
8
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
8
2018
Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085
Hairer, Martin; Xu, Weijun
6
2018
An analyst’s take on the BPHZ theorem. Zbl 1408.60049
Hairer, Martin
5
2018
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
4
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
20
2017
The reconstruction theorem in Besov spaces. Zbl 1380.46031
Hairer, Martin; Labbé, Cyril
8
2017
The dynamical sine-Gordon model. Zbl 1336.60120
Hairer, Martin; Shen, Hao
17
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
57
2015
Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094
Cloez, Bertrand; Hairer, Martin
49
2015
Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy
28
2015
Loss of regularity for Kolmogorov equations. Zbl 1322.35083
Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf
24
2015
Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141
Hairer, Martin; Weber, Hendrik
24
2015
A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094
Hairer, Martin; Labbé, Cyril
20
2015
Geometric versus non-geometric rough paths. Zbl 1314.60115
Hairer, Martin; Kelly, David
17
2015
Introduction to regularity structures. Zbl 1316.81061
Hairer, Martin
15
2015
The Brownian fan. Zbl 1302.60106
Hairer, Martin; Weare, Jonathan
2
2015
A theory of regularity structures. Zbl 1332.60093
Hairer, M.
190
2014
A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013
Friz, Peter K.; Hairer, Martin
150
2014
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
40
2014
Approximating rough stochastic PDEs. Zbl 1302.60095
Hairer, Martin; Maas, Jan; Weber, Hendrik
20
2014
Singular stochastic PDEs. Zbl 1373.60110
Hairer, Martin
6
2014
Improved diffusion Monte Carlo. Zbl 1314.65008
Hairer, Martin; Weare, Jonathan
6
2014
Singular stochastic PDEs. Zbl 1373.60111
Hairer, Martin
4
2014
Solving the KPZ equation. Zbl 1281.60060
Hairer, Martin
168
2013
Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068
Hairer, Martin; Pillai, Natesh S.
30
2013
Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055
Hairer, Martin; Weber, Hendrik
22
2013
Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012
Bou-Rabee, N.; Hairer, M.
20
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
19
2012
A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060
Hairer, Martin; Maas, Jan
12
2012
Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052
Hairer, Martin
7
2012
Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082
Hairer, Martin; Mattingly, Jonathan C.
79
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.
76
2011
A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072
Hairer, Martin; Mattingly, Jonathan C.
58
2011
Rough stochastic PDEs. Zbl 1229.60079
Hairer, M.
33
2011
Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083
Hairer, M.; Pillai, N. S.
31
2011
On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085
Hairer, Martin
25
2011
Approximations to the stochastic Burgers equation. Zbl 1273.60004
Hairer, Martin; Voss, Jochen
17
2011
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
13
2011
Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen
5
2011
Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044
Hairer, Martin; Manson, Charles
5
2011
A chain of interacting particles under strain. Zbl 1237.60066
Allman, Michael; Betz, Volker; Hairer, Martin
1
2011
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
45
2010
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
6
2010
Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129
Hairer, Martin; Manson, Charles
3
2010
Hypoellipticity in infinite dimensions. Zbl 1276.60066
Hairer, Martin
1
2010
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
1
2010
Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012
Hairer, Martin; Mattingly, Jonathan C.
17
2009
Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052
Hairer, Martin
16
2009
How hot can a heat bath get? Zbl 1190.82022
Hairer, Martin
8
2009
Sampling conditioned diffusions. Zbl 1203.60100
Hairer, Martin; Stuart, Andrew; Voß, Jochen
6
2009
Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005
Hairer, Martin; Mattingly, Jonathan C.
66
2008
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
13
2008
From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015
Hairer, M.; Pavliotis, G. A.
12
2008
Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015
Hairer, Martin; Pardoux, Etienne
11
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
42
2007
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
39
2007
Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052
Hairer, M.; Ohashi, A.
29
2007
Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026
Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J.
20
2007
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
16
2007
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038
Hairer, Martin; Mattingly, Jonathan C.
172
2006
Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045
Hairer, Martin
45
2005
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
25
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
1
2005
Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026
Hairer, M.; Pavliotis, G. A.
16
2004
Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60073
Hairer, Martin; Mattingly, Jonathan C.
13
2004
Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057
Blömker, Dirk; Hairer, Martin
10
2004
Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074
Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne
10
2004
Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060
Blömker, Dirk; Hairer, Martin
7
2004
Spectral properties of hypoelliptic operators. Zbl 1040.35016
Eckmann, J.-P.; Hairer, M.
35
2003
GniCodes –Matlab programs for geometric numerical integration. Zbl 1028.65136
Hairer, Ernst; Hairer, Martin
23
2003
Exponential mixing properties of stochastic PDEs through asymptotic coupling. Zbl 1032.60056
Hairer, M.
51
2002
Exponential mixing for a stochastic partial differential equation driven by degenerate noise. Zbl 0992.60067
Hairer, M.
3
2002
Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Zbl 0983.60058
Eckmann, J.-P.; Hairer, M.
33
2001
Invariant measures for stochastic partial differential equations in unbounded domains. Zbl 0970.60071
Eckmann, J.-P.; Hairer, M.
17
2001
Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Zbl 1044.82008
Eckmann, J.-P.; Hairer, M.
40
2000
all top 5

Cited by 1,476 Authors

60 Hairer, Martin
29 Stuart, Andrew M.
23 Friz, Peter Karl
23 Tindel, Samy
20 Blömker, Dirk
19 Mattingly, Jonathan C.
17 Gubinelli, Massimiliano
16 Weber, Hendrik
15 Majda, Andrew J.
15 Pavliotis, Grigorios A.
14 Röckner, Michael
14 Xu, Lihu
14 Zhu, RongChan
13 Stoltz, Gabriel
13 Yuan, Chenggui
12 Glatt-Holtz, Nathan E.
12 Kuksin, Sergeĭ B.
12 Shao, Jinghai
12 Zhu, Xiang-Chan
11 Bailleul, Ismaël F.
11 Baudoin, Fabrice
11 Corwin, Ivan
10 Cass, Thomas Richard
10 Debussche, Arnaud
10 Deya, Aurélien
10 Jentzen, Arnulf
10 Ouyang, Cheng
10 Perkowski, Nicolas
10 Shirikyan, Armen R.
9 Bao, Jianhai
9 Gu, Yu
9 Kühn, Christian
9 Mohammed, Wael W.
9 Pardoux, Etienne
9 Quastel, Jeremy
9 Riedel, Sebastian
9 Romito, Marco
9 Wang, Bixiang
8 Bakhtin, Yuri Yu.
8 Brzeźniak, Zdzisław
8 Diehl, Joscha
8 Jara, Milton D.
8 Nersesyan, Vahagn
8 Pillai, Natesh S.
8 Razafimandimby, Paul André
8 Szarek, Tomasz Jakub
7 Chevyrev, Ilya
7 Dong, Zhao
7 Eberle, Andreas
7 Hofmanová, Martina
7 Horbacz, Katarzyna
7 Komorowski, Tomasz
7 Panloup, Fabien
7 Scheutzow, Michael K. R.
7 Tong, Xin Thomson
7 Yamazaki, Kazuo
6 Beskos, Alexandros
6 Bessaih, Hakima
6 Cerrai, Sandra
6 Da Prato, Giuseppe
6 Duan, Jinqiao
6 Garrido-Atienza, María José
6 Gess, Benjamin
6 Hille, Sander Cornelis
6 Inahama, Yuzuru
6 Labbé, Cyril
6 Li, Yao
6 Liu, Wei
6 Lucarini, Valerio
6 Marzouk, Youssef M.
6 Neuenkirch, Andreas
6 Oh, Tadahiro
6 Ottobre, Michela
6 Prömel, David J.
6 Shen, Hao
6 Vanden-Eijnden, Eric
6 Wang, Feng-Yu
6 Zhang, Tusheng S.
5 Banerjee, Sayan
5 Bou-Rabee, Nawaf M.
5 Bruned, Yvain
5 Burdzy, Krzysztof
5 Cannizzaro, Giuseppe
5 Catellier, Rémi
5 Chen, Xia
5 Chouk, Khalil
5 Cloez, Bertrand
5 Czapla, Dawid
5 Ebrahimi-Fard, Kurusch
5 Flandoli, Franco
5 Gonçalves, Patrícia C.
5 Guillin, Arnaud
5 Hausenblas, Erika
5 Hoshino, Masato
5 Huang, Jianhua
5 Lejay, Antoine
5 Liu, Xianming
5 Lu, Kening
5 Nualart, David
5 Peng, Xuhui
...and 1,376 more Authors
all top 5

Cited in 236 Serials

87 Stochastic Processes and their Applications
76 Journal of Statistical Physics
59 Communications in Mathematical Physics
43 The Annals of Probability
39 Journal of Differential Equations
38 Probability Theory and Related Fields
38 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
36 Journal of Functional Analysis
33 The Annals of Applied Probability
30 Journal of Mathematical Analysis and Applications
30 Stochastic and Partial Differential Equations. Analysis and Computations
24 Electronic Journal of Probability
21 Physica D
21 Bernoulli
21 Stochastics and Dynamics
19 SIAM Journal on Mathematical Analysis
17 Nonlinearity
17 Discrete and Continuous Dynamical Systems
16 Journal of Mathematical Physics
16 Transactions of the American Mathematical Society
16 Stochastic Analysis and Applications
16 Journal of Theoretical Probability
14 Journal of Computational Physics
13 Communications on Pure and Applied Mathematics
12 Electronic Communications in Probability
12 Journal of Evolution Equations
12 Discrete and Continuous Dynamical Systems. Series B
12 SIAM/ASA Journal on Uncertainty Quantification
11 Archive for Rational Mechanics and Analysis
11 Statistics & Probability Letters
11 Potential Analysis
9 SIAM Journal on Control and Optimization
9 Chaos
8 SIAM Review
8 Journal of Dynamics and Differential Equations
8 Journal of Nonlinear Science
7 Journal of Computational and Applied Mathematics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
7 Science China. Mathematics
7 Statistics and Computing
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 SIAM Journal on Numerical Analysis
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Applied Mathematics Letters
6 Journal of Scientific Computing
6 SIAM Journal on Scientific Computing
6 Annales Henri Poincaré
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Advances in Applied Probability
5 Inverse Problems
5 The Annals of Statistics
5 Memoirs of the American Mathematical Society
5 Numerische Mathematik
5 Proceedings of the American Mathematical Society
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 NoDEA. Nonlinear Differential Equations and Applications
5 Statistical Inference for Stochastic Processes
5 Acta Mathematica Sinica. English Series
5 Journal of Statistical Mechanics: Theory and Experiment
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Electronic Journal of Statistics
4 Journal of Mathematical Biology
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Chaos, Solitons and Fractals
4 Applied Mathematics and Optimization
4 Journal of the Mathematical Society of Japan
4 Applied Numerical Mathematics
4 European Journal of Applied Mathematics
4 Communications in Partial Differential Equations
4 International Journal of Computer Mathematics
4 Bulletin des Sciences Mathématiques
4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
4 Kinetic and Related Models
4 Forum of Mathematics, Sigma
3 Applicable Analysis
3 Applied Mathematics and Computation
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Osaka Journal of Mathematics
3 Systems & Control Letters
3 Proceedings of the National Academy of Sciences of the United States of America
3 Finance and Stochastics
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Dynamical and Control Systems
3 Communications in Contemporary Mathematics
3 Communications on Pure and Applied Analysis
3 Multiscale Modeling & Simulation
3 Advances in Difference Equations
3 Stochastics
3 Forum of Mathematics, Pi
3 Communications in Mathematics and Statistics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Nuclear Physics. B
2 Reports on Mathematical Physics
2 Advances in Mathematics
2 Dissertationes Mathematicae
2 Journal of Algebra
2 Proceedings of the London Mathematical Society. Third Series
...and 136 more Serials
all top 5

Cited in 55 Fields

1,013 Probability theory and stochastic processes (60-XX)
466 Partial differential equations (35-XX)
223 Dynamical systems and ergodic theory (37-XX)
206 Statistical mechanics, structure of matter (82-XX)
177 Numerical analysis (65-XX)
109 Fluid mechanics (76-XX)
100 Statistics (62-XX)
92 Ordinary differential equations (34-XX)
65 Operator theory (47-XX)
58 Systems theory; control (93-XX)
47 Quantum theory (81-XX)
34 Biology and other natural sciences (92-XX)
29 Global analysis, analysis on manifolds (58-XX)
25 Geophysics (86-XX)
24 Functional analysis (46-XX)
22 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Real functions (26-XX)
16 Measure and integration (28-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 Computer science (68-XX)
12 Associative rings and algebras (16-XX)
11 Operations research, mathematical programming (90-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 Combinatorics (05-XX)
8 Integral equations (45-XX)
8 Mechanics of particles and systems (70-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Topological groups, Lie groups (22-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Functions of a complex variable (30-XX)
6 Potential theory (31-XX)
6 Difference and functional equations (39-XX)
6 Abstract harmonic analysis (43-XX)
6 Information and communication theory, circuits (94-XX)
5 Number theory (11-XX)
5 Nonassociative rings and algebras (17-XX)
5 Approximations and expansions (41-XX)
5 Mechanics of deformable solids (74-XX)
5 Relativity and gravitational theory (83-XX)
4 Algebraic geometry (14-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Astronomy and astrophysics (85-XX)
3 History and biography (01-XX)
3 General topology (54-XX)
2 General and overarching topics; collections (00-XX)
2 Category theory; homological algebra (18-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
2 Optics, electromagnetic theory (78-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year

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