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1

Solving the KPZ equation

Journal:

Annals of Mathematics

Year:

2013

Language:

english

File:

PDF, 1.07 MB

english, 2013

2

Ergodicity of stochastic differential equations driven by fractional Brownian motion

Journal:

The Annals of Probability

Year:

2005

Language:

english

File:

PDF, 395 KB

english, 2005

3

Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing

Martin Hairer and Jonathan C. Mattingly

Journal:

Annals of Mathematics

Year:

2006

Language:

english

File:

PDF, 3.58 MB

english, 2006

4

Ergodicity of the 2D Navier–Stokes equations with degenerate stochastic forcing

Hairer, Martin, Mattingly, Jonathan

Journal:

Annals of Mathematics

Year:

2006

Language:

english

File:

PDF, 766 KB

english, 2006

5

On Malliavinʼs proof of Hörmanderʼs theorem

Journal:

Bulletin des Sciences Mathématiques

Year:

2011

Language:

english

File:

PDF, 167 KB

english, 2011

6

The reconstruction theorem in Besov spaces

Hairer, Martin, Labbé, Cyril

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 1.52 MB

english, 2017

7

A Solution Theory for Quasilinear Singular SPDEs

Gerencsér, Máté, Hairer, Martin

Journal:

Communications on Pure and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 311 KB

english, 2019

8

Stochastic Modulation Equations

Dirk Blömker, Martin Hairer, Greg A. Pavliotis

Journal:

Year:

2005

Language:

english

File:

PDF, 190 KB

english, 2005

9

Ergodicity of Stochastic Differential Equations Driven by Fractional Brownian Motion

Journal:

The Annals of Probability

Year:

2005

Language:

english

File:

PDF, 6.16 MB

english, 2005

10

A Wong-Zakai theorem for stochastic PDEs

HAIRER, Martin, PARDOUX, Étienne

Journal:

Journal of the Mathematical Society of Japan

Year:

2015

Language:

english

File:

PDF, 648 KB

english, 2015

11

Triviality of the 2D stochastic Allen-Cahn equation

Hairer, Martin, Ryser, Marc, Weber, Hendrik

Journal:

Electronic Journal of Probability

Year:

2012

Language:

english

File:

PDF, 254 KB

english, 2012

12

A central limit theorem for the KPZ equation

Hairer, Martin, Shen, Hao

Journal:

The Annals of Probability

Year:

2017

Language:

english

File:

PDF, 544 KB

english, 2017

13

Renormalisation of parabolic stochastic PDEs

Journal:

Japanese Journal of Mathematics

Year:

2018

Language:

english

File:

PDF, 755 KB

english, 2018

14

Stochastic Analysis: Geometry of Random Processes

Guionnet, Alice, Hairer, Martin, Miermont, Grégory

Journal:

Oberwolfach Reports

Year:

2018

Language:

english

File:

PDF, 570 KB

english, 2018

15

Renormalisation of Stochastic Partial Differential Equations

Bruned, Yvain, Hairer, Martin, Zambotti, Lorenzo

Journal:

Year:

2020

Language:

english

File:

PDF, 174 KB

english, 2020

16

[Universitext] A Course on Rough Paths (With an Introduction to Regularity Structures) ||

Friz, Peter K., Hairer, Martin

Year:

2020

File:

PDF, 4.27 MB

2020

17

How Hot Can a Heat Bath Get?

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 685 KB

english, 2009

18

Approximations to the Stochastic Burgers Equation

Martin Hairer, Jochen Voss

Journal:

Journal of Nonlinear Science

Year:

2011

Language:

english

File:

PDF, 885 KB

english, 2011

19

Random homogenisation of a highly oscillatory singular potential

Hairer, Martin, Pardoux, Etienne, Piatnitski, Andrey

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2013

Language:

english

File:

PDF, 350 KB

english, 2013

20

Introduction to regularity structures

Journal:

Brazilian Journal of Probability and Statistics

Year:

2015

Language:

english

File:

PDF, 317 KB

english, 2015

21

The Brownian Fan

Hairer, Martin, Weare, Jonathan

Journal:

Communications on Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 654 KB

english, 2015

22

Loss of regularity for Kolmogorov equations

Hairer, Martin, Hutzenthaler, Martin, Jentzen, Arnulf

Journal:

The Annals of Probability

Year:

2015

Language:

english

File:

PDF, 584 KB

english, 2015

23

Smoothness of the density for solutions to Gaussian rough differential equations

Cass, Thomas, Hairer, Martin, Litterer, Christian, Tindel, Samy

Journal:

The Annals of Probability

Year:

2015

Language:

english

File:

PDF, 451 KB

english, 2015

24

A fractional kinetic process describing the intermediate time behaviour of cellular flows

Hairer, Martin, Iyer, Gautam, Koralov, Leonid, Novikov, Alexei, Pajor-Gyulai, Zsolt

Journal:

The Annals of Probability

Year:

2018

Language:

english

File:

PDF, 609 KB

english, 2018

25

A CLASS OF GROWTH MODELS RESCALING TO KPZ

HAIRER, MARTIN, QUASTEL, JEREMY

Journal:

Forum of Mathematics, Pi

Year:

2018

Language:

english

File:

PDF, 1.04 MB

english, 2018

26

A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs

Hairer, Martin, Mattingly, Jonathan

Journal:

Electronic Journal of Probability

Year:

2011

Language:

english

File:

PDF, 805 KB

english, 2011

27

Slow energy dissipation in anharmonic oscillator chains

Martin Hairer, Jonathan C. Mattingly

Journal:

Communications on Pure and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 284 KB

english, 2009

28

Malliavin calculus for highly degenerate 2D stochastic Navier–Stokes equations

Martin Hairer, Jonathan C. Mattingly, Étienne Pardoux

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 101 KB

2004

29

Ergodic properties of highly degenerate 2D stochastic Navier–Stokes equations

Martin Hairer, Jonathan C. Mattingly

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

english

File:

PDF, 103 KB

english, 2004

30

Homogenization of periodic linear degenerate PDEs

Martin Hairer, Etienne Pardoux

Journal:

Journal of Functional Analysis

Year:

2008

Language:

english

File:

PDF, 532 KB

english, 2008

31

Periodic homogenization with an interface: The one-dimensional case

Martin Hairer, Charles Manson

Journal:

Stochastic Processes and their Applications

Year:

2010

Language:

english

File:

PDF, 389 KB

english, 2010

32

A chain of interacting particles under strain

Michael Allman, Volker Betz, Martin Hairer

Journal:

Stochastic Processes and their Applications

Year:

2011

Language:

english

File:

PDF, 347 KB

english, 2011

33

Multiscale Expansion of Invariant Measures for SPDEs

Dirk Blömker, Martin Hairer

Journal:

Communications in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 339 KB

english, 2004

34

A version of Hörmander’s theorem for the fractional Brownian motion

Fabrice Baudoin, Martin Hairer

Journal:

Probability Theory and Related Fields

Year:

2007

Language:

english

File:

PDF, 302 KB

english, 2007

35

Stationary distributions for diffusions with inert drift

Richard F. Bass, Krzysztof Burdzy, Zhen-Qing Chen, Martin Hairer

Journal:

Probability Theory and Related Fields

Year:

2010

Language:

english

File:

PDF, 463 KB

english, 2010

36

Singular perturbations to semilinear stochastic heat equations

Journal:

Probability Theory and Related Fields

Year:

2012

Language:

english

File:

PDF, 327 KB

english, 2012

37

Ornstein–Uhlenbeck processes on Lie groups

Fabrice Baudoin, Martin Hairer, Josef Teichmann

Journal:

Journal of Functional Analysis

Year:

2008

Language:

english

File:

PDF, 162 KB

english, 2008

38

Rough Burgers-like equations with multiplicative noise

Hairer, Martin, Weber, Hendrik

Journal:

Probability Theory and Related Fields

Year:

2013

Language:

english

File:

PDF, 519 KB

english, 2013

39

Erratum to: Rough Burgers-like equations with multiplicative noise

Hairer, Martin, Weber, Hendrik

Journal:

Probability Theory and Related Fields

Year:

2013

Language:

english

File:

PDF, 104 KB

english, 2013

40

Analysis for parareal algorithms applied to Hamiltonian differential equations

Gander, Martin J., Hairer, Ernst

Journal:

Journal of Computational and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 622 KB

english, 2014

41

Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations

Hairer, Martin, Mattingly, Jonathan C.

Journal:

The Annals of Probability

Year:

2008

Language:

english

File:

PDF, 372 KB

english, 2008

42

Stationary Solutions for a Model of Amorphous Thin-Film Growth

Blömker, Dirk, Hairer, Martin

Journal:

Stochastic Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 218 KB

english, 2004

43

[Universitext] A Course on Rough Paths ||

Friz, Peter K., Hairer, Martin

Year:

2014

Language:

english

File:

PDF, 2.46 MB

english, 2014

44

A spatial version of the Itô–Stratonovich correction

Hairer, Martin, Maas, Jan

Journal:

The Annals of Probability

Year:

2012

Language:

english

File:

PDF, 329 KB

english, 2012

45

Sampling conditioned hypoelliptic diffusions

Hairer, Martin, Stuart, Andrew M., Voss, Jochen

Journal:

The Annals of Applied Probability

Year:

2011

Language:

english

File:

PDF, 278 KB

english, 2011

46

Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths

Hairer, Martin, Pillai, Natesh S.

Journal:

The Annals of Probability

Year:

2013

Language:

english

File:

PDF, 492 KB

english, 2013

47

Approximating Rough Stochastic PDEs

Hairer, Martin, Maas, Jan, Weber, Hendrik

Journal:

Communications on Pure and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 751 KB

english, 2014

48

A simple framework to justify linear response theory

Hairer, Martin, Majda, Andrew J

Journal:

Year:

2010

Language:

english

File:

PDF, 195 KB

english, 2010

49

Periodic homogenization with an interface: The multi-dimensional case

Hairer, Martin, Manson, Charles

Journal:

The Annals of Probability

Year:

2011

Language:

english

File:

PDF, 1.32 MB

english, 2011

50

Improved Diffusion Monte Carlo

Hairer, Martin, Weare, Jonathan

Journal:

Communications on Pure and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 518 KB

english, 2014