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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
Videos: carmin.tv
Awards: Fields Medal (2014) · Breakthrough Prize in Mathematics (2021)
all top 5

Co-Authors

26 single-authored
9 Mattingly, Jonathan Christopher
8 Stuart, Andrew M.
7 Blömker, Dirk
7 Voss, Jochen
6 Chandra, Ajay
6 Shen, Hao
5 Eckmann, Jean-Pierre
5 Gubinelli, Massimiliano
5 Pardoux, Etienne
5 Weber, Hendrik
4 Bruned, Yvain
4 Rosati, Tommaso Cornelis
4 Zambotti, Lorenzo
3 Chevyrev, Ilya
3 Erhard, Dirk
3 Flandoli, Franco
3 Gerencsér, Máté
3 Labbé, Cyril
3 Manson, Charles
3 Matetski, Konstantin
3 Weare, Jonathan Quincy
2 Baudoin, Fabrice
2 Cannizzaro, Giuseppe
2 Friz, Peter
2 Gerasimovičs, Andris
2 Gerolla, Luca
2 Guionnet, Alice
2 Koralov, Leonid B.
2 Maas, Jan
2 Miermont, Grégory
2 Pajor-Gyulai, Zsolt
2 Pillai, Natesh S.
2 Singh, Harprit
2 Steele, Rhys
2 Xu, Weijun
1 Allman, Michael
1 Apte, Amit
1 Bass, Richard F.
1 Bauerschmidt, Roland
1 Betz, Volker
1 Bou-Rabee, Nawaf M.
1 Bréhier, Charles-Edouard
1 Burdzy, Krzysztof
1 Cass, Thomas Richard
1 Chen, Zhen-Qing
1 Cloez, Bertrand
1 Coti Zelati, Michele
1 Cuneo, Noé
1 Hairer, Ernst
1 Hutzenthaler, Martin
1 Iberti, Massimo
1 Iyer, Gautam
1 Jentzen, Arnulf
1 Kusuoka, Seiichiro Kusuoka
1 Litterer, Christian
1 Majda, Andrew Joseph
1 Nagoji, Hirotatsu
1 Novikov, Alexei
1 Oh, Tadahiro
1 Pavliotis, Greg A.
1 Pavliotis, Grigorios A.
1 Peev, Martin
1 Persson, Ulf A.
1 Piatnitski, Andrey L.
1 Punshon-Smith, Sam
1 Quastel, Jeremy
1 Rey-Bellet, Luc
1 Romito, Marco
1 Ryser, Marc Daniel
1 Scheutzow, Michael K. R.
1 Schönbauer, Philipp
1 Scott, Melvin R.
1 Souganidis, Panagiotis E.
1 Teichmann, Josef
1 Tindel, Samy
1 Tzvetkov, Nikolay
1 Vollmer, Sebastian J.
1 Werner, Wendelin
1 Wiberg, Petter
1 Xu, Tiecheng
1 Yau, Horng-Tzer
1 Yi, Jaeyun
1 Zhao, Wenhao
1 Zine, Younes
all top 5

Serials

13 The Annals of Probability
11 Communications in Mathematical Physics
11 Communications on Pure and Applied Mathematics
9 Probability Theory and Related Fields
6 Electronic Journal of Probability
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Journal of Statistical Physics
4 Nonlinearity
4 Journal of Functional Analysis
4 Oberwolfach Reports
3 Inventiones Mathematicae
3 The Annals of Applied Probability
2 Archive for Rational Mechanics and Analysis
2 Stochastic Processes and their Applications
2 European Mathematical Society Newsletter
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Forum of Mathematics, Pi
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Universitext
1 IMA Journal of Numerical Analysis
1 Publications Mathématiques
1 Journal of the Mathematical Society of Japan
1 Stochastic Analysis and Applications
1 Journal of Computational Mathematics
1 Physica D
1 Journal of the American Mathematical Society
1 Communications in Partial Differential Equations
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Bulletin des Sciences Mathématiques
1 Electronic Communications in Probability
1 Bernoulli
1 Brazilian Journal of Probability and Statistics
1 Communications in Mathematical Sciences
1 Lecture Notes in Mathematics
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Japanese Journal of Mathematics. 3rd Series
1 Annals of PDE
1 European Mathematical Society Magazine

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 4,805 times in 2,525 Documents Cited by Year
A theory of regularity structures. Zbl 1332.60093
Hairer, M.
466
2014
A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013
Friz, Peter K.; Hairer, Martin
321
2014
Solving the KPZ equation. Zbl 1281.60060
Hairer, Martin
279
2013
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038
Hairer, Martin; Mattingly, Jonathan C.
271
2006
Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082
Hairer, Martin; Mattingly, Jonathan C.
162
2011
Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Zbl 1238.60082
Hairer, M.; Mattingly, J. C.; Scheutzow, M.
147
2011
Algebraic renormalisation of regularity structures. Zbl 1481.16038
Bruned, Y.; Hairer, M.; Zambotti, L.
116
2019
Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005
Hairer, Martin; Mattingly, Jonathan C.
109
2008
A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062
Hairer, Martin; Pardoux, Étienne
105
2015
A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002
Friz, Peter K.; Hairer, Martin
95
2020
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
89
2014
Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094
Cloez, Bertrand; Hairer, Martin
85
2015
A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072
Hairer, Martin; Mattingly, Jonathan C.
82
2011
Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045
Hairer, Martin
73
2005
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
71
2010
Exponential mixing properties of stochastic PDEs through asymptotic coupling. Zbl 1032.60056
Hairer, M.
70
2002
A class of growth models rescaling to KPZ. Zbl 1429.60057
Hairer, Martin; Quastel, Jeremy
66
2018
Renormalising SPDEs in regularity structures. Zbl 1465.60057
Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin
60
2021
Discretisations of rough stochastic PDEs. Zbl 1406.60094
Hairer, M.; Matetski, K.
56
2018
A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094
Hairer, Martin; Labbé, Cyril
55
2015
On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085
Hairer, Martin
53
2011
Loss of regularity for Kolmogorov equations. Zbl 1322.35083
Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf
52
2015
Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Zbl 1044.82008
Eckmann, J.-P.; Hairer, M.
52
2000
Spectral properties of hypoelliptic operators. Zbl 1040.35016
Eckmann, J.-P.; Hairer, M.
51
2003
Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy
51
2015
Geometric versus non-geometric rough paths. Zbl 1314.60115
Hairer, Martin; Kelly, David
51
2015
A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038
Baudoin, Fabrice; Hairer, Martin
51
2007
The strong Feller property for singular stochastic PDEs. Zbl 1426.60088
Hairer, M.; Mattingly, J.
50
2018
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
48
2007
Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102
Hairer, Martin; Labbé, Cyril
47
2018
The dynamical sine-Gordon model. Zbl 1336.60120
Hairer, Martin; Shen, Hao
45
2016
Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141
Hairer, Martin; Weber, Hendrik
44
2015
Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052
Hairer, M.; Ohashi, A.
44
2007
Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087
Hairer, Martin; Li, Xue-Mei
44
2020
Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068
Hairer, Martin; Pillai, Natesh S.
43
2013
Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083
Hairer, M.; Pillai, N. S.
41
2011
Rough stochastic PDEs. Zbl 1229.60079
Hairer, M.
41
2011
Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise. Zbl 0983.60058
Eckmann, J.-P.; Hairer, M.
39
2001
A central limit theorem for the KPZ equation. Zbl 1388.60111
Hairer, Martin; Shen, Hao
36
2017
Introduction to regularity structures. Zbl 1316.81061
Hairer, Martin
35
2015
Triviality of the 2D stochastic Allen-Cahn equation. Zbl 1245.60063
Hairer, Martin; Ryser, Marc Daniel; Weber, Hendrik
35
2012
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
34
2005
Invariant measures for stochastic partial differential equations in unbounded domains. Zbl 0970.60071
Eckmann, J.-P.; Hairer, M.
33
2001
Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012
Bou-Rabee, N.; Hairer, M.
33
2013
Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055
Hairer, Martin; Weber, Hendrik
31
2013
Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026
Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J.
30
2007
Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012
Hairer, Martin; Mattingly, Jonathan C.
28
2009
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
27
2007
Hörmander’s theorem for semilinear SPDEs. Zbl 1462.60084
Gerasimovičs, Andris; Hairer, Martin
26
2019
Singular SPDEs in domains with boundaries. Zbl 1411.60097
Gerencsér, Máté; Hairer, Martin
25
2019
Regularity structures and the dynamical \(\Phi_3^4\) model. Zbl 1506.60062
Hairer, Martin
25
2016
A solution theory for quasilinear singular SPDEs. Zbl 1458.60077
Gerencsér, Máté; Hairer, Martin
25
2019
Langevin dynamic for the 2D Yang-Mills measure. Zbl 1518.70029
Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin; Shen, Hao
25
2022
Geometric stochastic heat equations. Zbl 1476.60101
Bruned, Y.; Gabriel, F.; Hairer, M.; Zambotti, L.
24
2022
GniCodes –Matlab programs for geometric numerical integration. Zbl 1028.65136
Hairer, Ernst; Hairer, Martin
24
2003
Approximations to the stochastic Burgers equation. Zbl 1273.60004
Hairer, Martin; Voss, Jochen
24
2011
Approximating rough stochastic PDEs. Zbl 1302.60095
Hairer, Martin; Maas, Jan; Weber, Hendrik
23
2014
The reconstruction theorem in Besov spaces. Zbl 1380.46031
Hairer, Martin; Labbé, Cyril
23
2017
Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052
Hairer, Martin
23
2009
Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038
Blömker, D.; Hairer, M.; Pavliotis, G. A.
21
2005
Multiscale expansion of invariant measures for SPDEs. Zbl 1066.60057
Blömker, Dirk; Hairer, Martin
21
2004
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
21
2011
Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc
21
2018
Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015
Hairer, Martin; Pardoux, Etienne
20
2008
Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026
Hairer, M.; Pavliotis, G. A.
19
2004
From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015
Hairer, M.; Pavliotis, G. A.
19
2008
How hot can a heat bath get? Zbl 1190.82022
Hairer, Martin
17
2009
Discretisation of regularity structures. Zbl 1450.60065
Erhard, Dirk; Hairer, Martin
17
2019
A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060
Hairer, Martin; Maas, Jan
16
2012
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
16
2008
A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049
Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt
16
2018
Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60073
Hairer, Martin; Mattingly, Jonathan C.
14
2004
Large scale limit of interface fluctuation models. Zbl 1453.60120
Hairer, Martin; Xu, Weijun
14
2019
Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085
Hairer, Martin; Xu, Weijun
14
2018
The support of singular stochastic partial differential equations. Zbl 1490.60186
Hairer, Martin; Schönbauer, Philipp
13
2022
Singular stochastic PDEs. Zbl 1373.60110
Hairer, Martin
13
2014
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
13
2021
Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations. Zbl 1059.60074
Hairer, Martin; Mattingly, Jonathan C.; Pardoux, Étienne
12
2004
Amplitude equations for SPDEs: approximate centre manifolds and invariant measures. Zbl 1098.60057
Blömker, Dirk; Hairer, Martin
12
2005
Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069
Hairer, M.; Matetski, K.
11
2016
An analyst’s take on the BPHZ theorem. Zbl 1408.60049
Hairer, Martin
11
2018
Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018
Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef
10
2008
Sampling conditioned diffusions. Zbl 1203.60100
Hairer, Martin; Stuart, Andrew; Voß, Jochen
10
2009
Renormalisation of stochastic partial differential equations. Zbl 1447.35399
Bruned, Yvain; Hairer, Martin; Zambotti, Lorenzo
10
2020
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
10
2018
Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052
Hairer, Martin
9
2012
A noise-induced transition in the Lorenz system. Zbl 1461.93484
Coti Zelati, Michele; Hairer, Martin
9
2021
Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230
Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey
9
2013
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
9
2010
Stationary solutions for a model of amorphous thin-film growth. Zbl 1057.60060
Blömker, Dirk; Hairer, Martin
8
2004
Improved diffusion Monte Carlo. Zbl 1314.65008
Hairer, Martin; Weare, Jonathan
8
2014
Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044
Hairer, Martin; Manson, Charles
8
2011
From averaging to homogenization in cellular flows – an exact description of the transition. Zbl 1356.35033
Hairer, Martin; Koralov, Leonid; Pajor-Gyulai, Zsolt
7
2016
Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen
7
2011
Singular stochastic PDEs. Zbl 1373.60111
Hairer, Martin
7
2014
Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129
Hairer, Martin; Manson, Charles
6
2010
Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055
Hairer, Martin
6
2018
The BPHZ theorem for regularity structures via the spectral gap inequality. Zbl 1546.60198
Hairer, Martin; Steele, Rhys
6
2024
Coupling stochastic PDEs. Zbl 1122.35383
Hairer, Martin
5
2005
A chain of interacting particles under strain. Zbl 1237.60066
Allman, Michael; Betz, Volker; Hairer, Martin
5
2011
The BPHZ theorem for regularity structures via the spectral gap inequality. Zbl 1546.60198
Hairer, Martin; Steele, Rhys
6
2024
Stochastic quantisation of Yang-Mills-Higgs in 3D. Zbl 1547.60056
Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin; Shen, Hao
2
2024
A scaling limit of the parabolic Anderson model with exclusion interaction. Zbl 07793221
Erhard, Dirk; Hairer, Martin
2
2024
Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise. Zbl 1540.35288
Hairer, Martin; Rosati, Tommaso
1
2024
The Brownian Castle. Zbl 1540.60205
Cannizzaro, Giuseppe; Hairer, Martin
3
2023
The Brownian web as a random \(\mathbb{R} \)-tree. Zbl 07733587
Cannizzaro, Giuseppe; Hairer, Martin
2
2023
The Allen-Cahn equation with generic initial datum. Zbl 1521.60027
Hairer, Martin; Lê, Khoa; Rosati, Tommaso
2
2023
Langevin dynamic for the 2D Yang-Mills measure. Zbl 1518.70029
Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin; Shen, Hao
25
2022
Geometric stochastic heat equations. Zbl 1476.60101
Bruned, Y.; Gabriel, F.; Hairer, M.; Zambotti, L.
24
2022
The support of singular stochastic partial differential equations. Zbl 1490.60186
Hairer, Martin; Schönbauer, Philipp
13
2022
The \(\Phi_3^4\) measure has sub-Gaussian tails. Zbl 1490.81104
Hairer, Martin; Steele, Rhys
5
2022
Boundary renormalisation of SPDEs. Zbl 1504.60098
Gerencsér, Máté; Hairer, Martin
3
2022
Renormalising SPDEs in regularity structures. Zbl 1465.60057
Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin
60
2021
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
13
2021
A noise-induced transition in the Lorenz system. Zbl 1461.93484
Coti Zelati, Michele; Hairer, Martin
9
2021
A course on rough paths. With an introduction to regularity structures. 2nd updated edition. Zbl 1437.60002
Friz, Peter K.; Hairer, Martin
95
2020
Averaging dynamics driven by fractional Brownian motion. Zbl 1453.60087
Hairer, Martin; Li, Xue-Mei
44
2020
Renormalisation of stochastic partial differential equations. Zbl 1447.35399
Bruned, Yvain; Hairer, Martin; Zambotti, Lorenzo
10
2020
Algebraic renormalisation of regularity structures. Zbl 1481.16038
Bruned, Y.; Hairer, M.; Zambotti, L.
116
2019
Hörmander’s theorem for semilinear SPDEs. Zbl 1462.60084
Gerasimovičs, Andris; Hairer, Martin
26
2019
Singular SPDEs in domains with boundaries. Zbl 1411.60097
Gerencsér, Máté; Hairer, Martin
25
2019
A solution theory for quasilinear singular SPDEs. Zbl 1458.60077
Gerencsér, Máté; Hairer, Martin
25
2019
Discretisation of regularity structures. Zbl 1450.60065
Erhard, Dirk; Hairer, Martin
17
2019
Large scale limit of interface fluctuation models. Zbl 1453.60120
Hairer, Martin; Xu, Weijun
14
2019
A class of growth models rescaling to KPZ. Zbl 1429.60057
Hairer, Martin; Quastel, Jeremy
66
2018
Discretisations of rough stochastic PDEs. Zbl 1406.60094
Hairer, M.; Matetski, K.
56
2018
The strong Feller property for singular stochastic PDEs. Zbl 1426.60088
Hairer, M.; Mattingly, J.
50
2018
Multiplicative stochastic heat equations on the whole space. Zbl 1447.60102
Hairer, Martin; Labbé, Cyril
47
2018
Non-equilibrium steady states for networks of oscillators. Zbl 1397.82033
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc
21
2018
A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049
Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt
16
2018
Large-scale behavior of three-dimensional continuous phase coexistence models. Zbl 1407.60085
Hairer, Martin; Xu, Weijun
14
2018
An analyst’s take on the BPHZ theorem. Zbl 1408.60049
Hairer, Martin
11
2018
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
10
2018
Renormalisation of parabolic stochastic PDEs. Zbl 1430.60055
Hairer, Martin
6
2018
Tightness of the Ising-Kac model on the two-dimensional torus. Zbl 1395.82134
Hairer, Martin; Iberti, Massimo
4
2018
A central limit theorem for the KPZ equation. Zbl 1388.60111
Hairer, Martin; Shen, Hao
36
2017
The reconstruction theorem in Besov spaces. Zbl 1380.46031
Hairer, Martin; Labbé, Cyril
23
2017
The dynamical sine-Gordon model. Zbl 1336.60120
Hairer, Martin; Shen, Hao
45
2016
Regularity structures and the dynamical \(\Phi_3^4\) model. Zbl 1506.60062
Hairer, Martin
25
2016
Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069
Hairer, M.; Matetski, K.
11
2016
From averaging to homogenization in cellular flows – an exact description of the transition. Zbl 1356.35033
Hairer, Martin; Koralov, Leonid; Pajor-Gyulai, Zsolt
7
2016
A Wong-Zakai theorem for stochastic PDEs. Zbl 1341.60062
Hairer, Martin; Pardoux, Étienne
105
2015
Exponential ergodicity for Markov processes with random switching. Zbl 1330.60094
Cloez, Bertrand; Hairer, Martin
85
2015
A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\). Zbl 1332.60094
Hairer, Martin; Labbé, Cyril
55
2015
Loss of regularity for Kolmogorov equations. Zbl 1322.35083
Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf
52
2015
Smoothness of the density for solutions to Gaussian rough differential equations. Zbl 1309.60055
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy
51
2015
Geometric versus non-geometric rough paths. Zbl 1314.60115
Hairer, Martin; Kelly, David
51
2015
Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Zbl 1319.60141
Hairer, Martin; Weber, Hendrik
44
2015
Introduction to regularity structures. Zbl 1316.81061
Hairer, Martin
35
2015
The Brownian fan. Zbl 1302.60106
Hairer, Martin; Weare, Jonathan
2
2015
A theory of regularity structures. Zbl 1332.60093
Hairer, M.
466
2014
A course on rough paths. With an introduction to regularity structures. Zbl 1327.60013
Friz, Peter K.; Hairer, Martin
321
2014
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
89
2014
Approximating rough stochastic PDEs. Zbl 1302.60095
Hairer, Martin; Maas, Jan; Weber, Hendrik
23
2014
Singular stochastic PDEs. Zbl 1373.60110
Hairer, Martin
13
2014
Improved diffusion Monte Carlo. Zbl 1314.65008
Hairer, Martin; Weare, Jonathan
8
2014
Singular stochastic PDEs. Zbl 1373.60111
Hairer, Martin
7
2014
Solving the KPZ equation. Zbl 1281.60060
Hairer, Martin
279
2013
Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths. Zbl 1288.60068
Hairer, Martin; Pillai, Natesh S.
43
2013
Nonasymptotic mixing of the MALA algorithm. Zbl 1305.65012
Bou-Rabee, N.; Hairer, M.
33
2013
Rough Burgers-like equations with multiplicative noise. Zbl 1303.60055
Hairer, Martin; Weber, Hendrik
31
2013
Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230
Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey
9
2013
Erratum to: “Rough Burgers-like equations with multiplicative noise”. Zbl 1285.60062
Hairer, Martin; Weber, Hendrik
1
2013
Triviality of the 2D stochastic Allen-Cahn equation. Zbl 1245.60063
Hairer, Martin; Ryser, Marc Daniel; Weber, Hendrik
35
2012
A spatial version of the Itō-Stratonovich correction. Zbl 1262.60060
Hairer, Martin; Maas, Jan
16
2012
Singular perturbations to semilinear stochastic heat equations. Zbl 1251.60052
Hairer, Martin
9
2012
Stochastic PDEs with multiscale structure. Zbl 1262.60059
Hairer, Martin; Kelly, David
3
2012
Yet another look at Harris’ ergodic theorem for Markov chains. Zbl 1248.60082
Hairer, Martin; Mattingly, Jonathan C.
162
2011
Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Zbl 1238.60082
Hairer, M.; Mattingly, J. C.; Scheutzow, M.
147
2011
A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs. Zbl 1228.60072
Hairer, Martin; Mattingly, Jonathan C.
82
2011
On Malliavin’s proof of Hörmander’s theorem. Zbl 1242.60085
Hairer, Martin
53
2011
Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion. Zbl 1221.60083
Hairer, M.; Pillai, N. S.
41
2011
Rough stochastic PDEs. Zbl 1229.60079
Hairer, M.
41
2011
Approximations to the stochastic Burgers equation. Zbl 1273.60004
Hairer, Martin; Voss, Jochen
24
2011
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
21
2011
Periodic homogenization with an interface: the multi-dimensional case. Zbl 1217.60044
Hairer, Martin; Manson, Charles
8
2011
Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen
7
2011
A chain of interacting particles under strain. Zbl 1237.60066
Allman, Michael; Betz, Volker; Hairer, Martin
5
2011
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
71
2010
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
9
2010
Periodic homogenization with an interface: the one-dimensional case. Zbl 1202.60129
Hairer, Martin; Manson, Charles
6
2010
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
2
2010
Periodic homogenization with an interface. Zbl 1276.60086
Hairer, Martin; Manson, Charles
1
2010
Hypoellipticity in infinite dimensions. Zbl 1276.60066
Hairer, Martin
1
2010
Slow energy dissipation in anharmonic oscillator chains. Zbl 1169.82012
Hairer, Martin; Mattingly, Jonathan C.
28
2009
Ergodic properties of a class of non-Markovian processes. Zbl 1186.60052
Hairer, Martin
23
2009
How hot can a heat bath get? Zbl 1190.82022
Hairer, Martin
17
2009
Sampling conditioned diffusions. Zbl 1203.60100
Hairer, Martin; Stuart, Andrew; Voß, Jochen
10
2009
Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations. Zbl 1173.37005
Hairer, Martin; Mattingly, Jonathan C.
109
2008
Homogenization of periodic linear degenerate PDEs. Zbl 1167.60015
Hairer, Martin; Pardoux, Etienne
20
2008
From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015
Hairer, M.; Pavliotis, G. A.
19
2008
Rigorous remarks about scaling laws in turbulent fluids. Zbl 1140.76011
Flandoli, F.; Gubinelli, M.; Hairer, M.; Romito, M.
16
2008
Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018
Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef
10
2008
A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038
Baudoin, Fabrice; Hairer, Martin
51
2007
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
48
2007
Ergodic theory for SDEs with extrinsic memory. Zbl 1129.60052
Hairer, M.; Ohashi, A.
44
2007
Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026
Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J.
30
2007
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
27
2007
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing. Zbl 1130.37038
Hairer, Martin; Mattingly, Jonathan C.
271
2006
Ergodicity of stochastic differential equations driven by fractional Brownian motion. Zbl 1071.60045
Hairer, Martin
73
2005
...and 16 more Documents
all top 5

Cited by 2,486 Authors

82 Hairer, Martin
40 Friz, Peter
36 Tindel, Samy
30 Stuart, Andrew M.
30 Zhu, RongChan
29 Gubinelli, Massimiliano
27 Jentzen, Arnulf
26 Blömker, Dirk
25 Zhu, Xiang-Chan
24 Röckner, Michael
24 Weber, Hendrik
23 Mattingly, Jonathan Christopher
23 Perkowski, Nicolas
22 Bailleul, Ismaël F.
22 Stoltz, Gabriel
21 Hofmanová, Martina
21 Pavliotis, Grigorios A.
20 Bruned, Yvain
19 Glatt-Holtz, Nathan E.
19 Oh, Tadahiro
19 Xu, Lihu
18 Shen, Hao
17 Bao, Jianhai
17 Cass, Thomas Richard
17 Chevyrev, Ilya
17 Corwin, Ivan Z.
17 Kühn, Christian
16 Gu, Yu
16 Majda, Andrew Joseph
16 Riedel, Sebastian
15 Baudoin, Fabrice
15 Deya, Aurélien
15 Monmarché, Pierre
15 Ouyang, Cheng
15 Shao, Jinghai
15 Wang, Bixiang
15 Yuan, Chenggui
14 Debussche, Arnaud
14 Nersesyan, Vahagn
14 Yamazaki, Kazuo
13 Bedrossian, Jacob
13 Gerencsér, Máté
13 Gess, Benjamin
13 Herzog, David P.
13 Hutzenthaler, Martin
13 Komorowski, Tomasz
13 Kuksin, Sergeĭ B.
13 Neamţu, Alexandra
13 Nilssen, Torstein K.
13 Prömel, David J.
12 Hoshino, Masato
12 Huang, Jianhua
12 Scheutzow, Michael K. R.
11 Brzeźniak, Zdzisław
11 Diehl, Joscha
11 Duan, Jinqiao
11 Ebrahimi-Fard, Kurusch
11 Harang, Fabian Andsem
11 Horbacz, Katarzyna
11 Inahama, Yuzuru
11 Lucarini, Valerio
11 Quastel, Jeremy
11 Tzvetkov, Nikolay
11 Xie, Longjie
11 Zambotti, Lorenzo
10 Albeverio, Sergio A.
10 Bakhtin, Yuri Yu.
10 Cannizzaro, Giuseppe
10 Chandra, Ajay
10 Chen, Guanggan
10 Gao, Hongjun
10 Gao, Xing
10 Jara, Milton D.
10 Li, Shihu
10 Liu, Wei
10 Lu, Kening
10 Mohan, Manil Thankamani
10 Romito, Marco
10 Shirikyan, Armen R.
10 Tong, Xin Thomson
10 Tsai, Li-cheng
10 Wang, Feng-Yu
10 Zhang, Tusheng S.
9 Bou-Rabee, Nawaf M.
9 Czapla, Dawid
9 Eberle, Andreas
9 Hocquet, Antoine
9 Hu, Yaozhong
9 Liu, Chong
9 Marzouk, Youssef M.
9 Mohammed, Wael W.
9 Ottobre, Michela
9 Pardoux, Etienne
9 Schmalfuß, Björn
9 Xu, Weijun
9 Zhai, Jianliang
9 Zygouras, Nikolaos
8 Bellingeri, Carlo
8 Bessaih, Hakima
8 Blumenthal, Alex
...and 2,386 more Authors
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Cited in 334 Serials

128 Stochastic Processes and their Applications
91 Journal of Statistical Physics
86 Communications in Mathematical Physics
86 Journal of Differential Equations
75 Electronic Journal of Probability
74 The Annals of Probability
71 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
69 The Annals of Applied Probability
69 Stochastic and Partial Differential Equations. Analysis and Computations
62 Journal of Functional Analysis
56 Probability Theory and Related Fields
52 Stochastics and Dynamics
47 Nonlinearity
42 Journal of Mathematical Analysis and Applications
40 Bernoulli
37 Journal of Theoretical Probability
33 SIAM Journal on Mathematical Analysis
31 Physica D
30 Communications on Pure and Applied Mathematics
29 Stochastic Analysis and Applications
29 Discrete and Continuous Dynamical Systems. Series B
27 Journal of Mathematical Physics
25 Archive for Rational Mechanics and Analysis
25 Transactions of the American Mathematical Society
22 Discrete and Continuous Dynamical Systems
20 Potential Analysis
20 Electronic Communications in Probability
19 Journal of Evolution Equations
18 Journal of Computational Physics
17 SIAM/ASA Journal on Uncertainty Quantification
16 Applied Mathematics and Optimization
16 Statistics & Probability Letters
15 Inverse Problems
15 Journal of Nonlinear Science
15 Journal of Physics A: Mathematical and Theoretical
14 SIAM Journal on Control and Optimization
14 Journal of Scientific Computing
14 Journal of Dynamics and Differential Equations
14 Chaos
14 Stochastics
14 Statistics and Computing
13 Forum of Mathematics, Sigma
12 Inventiones Mathematicae
12 Oberwolfach Reports
11 Journal of Statistical Mechanics: Theory and Experiment
10 Advances in Applied Probability
10 SIAM Journal on Numerical Analysis
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Infinite Dimensional Analysis, Quantum Probability and Related Topics
10 Journal of the European Mathematical Society (JEMS)
10 Annales Henri Poincaré
10 ALEA. Latin American Journal of Probability and Mathematical Statistics
9 Chaos, Solitons and Fractals
9 Journal of Computational and Applied Mathematics
9 Memoirs of the American Mathematical Society
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 NoDEA. Nonlinear Differential Equations and Applications
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 SIAM Journal on Applied Dynamical Systems
9 Science China. Mathematics
9 Annales Henri Lebesgue
8 The Annals of Statistics
8 Journal of the Mathematical Society of Japan
8 Applied Mathematics Letters
8 SIAM Review
8 SIAM Journal on Scientific Computing
8 Multiscale Modeling & Simulation
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Probability Surveys
7 Physica A
7 Journal of Applied Probability
7 Journal of the London Mathematical Society. Second Series
7 Communications in Partial Differential Equations
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Bulletin des Sciences Mathématiques
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
7 Statistical Inference for Stochastic Processes
7 Communications in Nonlinear Science and Numerical Simulation
7 Electronic Journal of Statistics
6 Mathematical Methods in the Applied Sciences
6 Journal of Algebra
6 Numerische Mathematik
6 Proceedings of the American Mathematical Society
6 Acta Applicandae Mathematicae
6 Applied Numerical Mathematics
6 European Journal of Applied Mathematics
6 Mathematical Finance
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Journal of Machine Learning Research (JMLR)
6 Communications on Pure and Applied Analysis
6 Nonlinear Analysis. Hybrid Systems
6 Forum of Mathematics, Pi
5 Journal of Mathematical Biology
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Duke Mathematical Journal
5 Proceedings of the London Mathematical Society. Third Series
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Finance and Stochastics
5 Acta Mathematica Sinica. English Series
...and 234 more Serials
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Cited in 59 Fields

1,934 Probability theory and stochastic processes (60-XX)
959 Partial differential equations (35-XX)
425 Dynamical systems and ergodic theory (37-XX)
359 Statistical mechanics, structure of matter (82-XX)
320 Numerical analysis (65-XX)
201 Fluid mechanics (76-XX)
194 Statistics (62-XX)
162 Ordinary differential equations (34-XX)
108 Operator theory (47-XX)
107 Quantum theory (81-XX)
90 Systems theory; control (93-XX)
72 Biology and other natural sciences (92-XX)
60 Functional analysis (46-XX)
50 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
48 Global analysis, analysis on manifolds (58-XX)
47 Associative rings and algebras (16-XX)
42 Real functions (26-XX)
41 Computer science (68-XX)
37 Geophysics (86-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
28 Nonassociative rings and algebras (17-XX)
27 Combinatorics (05-XX)
27 Measure and integration (28-XX)
27 Integral equations (45-XX)
27 Mechanics of particles and systems (70-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
15 General and overarching topics; collections (00-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
15 Classical thermodynamics, heat transfer (80-XX)
15 Operations research, mathematical programming (90-XX)
14 Topological groups, Lie groups (22-XX)
13 Functions of a complex variable (30-XX)
13 Difference and functional equations (39-XX)
13 Approximations and expansions (41-XX)
12 Information and communication theory, circuits (94-XX)
10 Algebraic geometry (14-XX)
10 Differential geometry (53-XX)
10 Mechanics of deformable solids (74-XX)
7 Potential theory (31-XX)
6 History and biography (01-XX)
6 Category theory; homological algebra (18-XX)
6 Abstract harmonic analysis (43-XX)
6 Relativity and gravitational theory (83-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Algebraic topology (55-XX)
5 Astronomy and astrophysics (85-XX)
4 Number theory (11-XX)
4 Commutative algebra (13-XX)
4 Special functions (33-XX)
4 Integral transforms, operational calculus (44-XX)
4 Geometry (51-XX)
4 General topology (54-XX)
4 Optics, electromagnetic theory (78-XX)
3 General algebraic systems (08-XX)
3 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)

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