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- Martin Hairer

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
53
Citations
9,213
157
World Ranking
665
National Ranking
49

2022 - Wald Memorial Lecturer

2020 - Member of the European Academy of Sciences

2017 - Polish Academy of Science

2016 - Fellow of the American Mathematical Society For contributions to the theory of stochastic partial differential equations, in particular introducing a theory of regularity structures for such equations.

2015 - Member of Academia Europaea

2015 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics

2014 - Fellow of the Royal Society, United Kingdom

2014 - Fields Medal of International Mathematical Union (IMU) For his outstanding contributions to the theory of stochastic partial differential equations, and in particular for the creation of a theory of regularity structures for such equations.

- Mathematical analysis
- Quantum mechanics
- Algebra

Mathematical analysis, Applied mathematics, Rough path, Markov chain and Ergodicity are his primary areas of study. His Mathematical analysis research is multidisciplinary, incorporating elements of Invariant measure and Pure mathematics. His work carried out in the field of Applied mathematics brings together such families of science as Markov process, Group, Measure, Spectral gap and Nonlinear system.

His Rough path study integrates concerns from other disciplines, such as Factorization and Type. As part of the same scientific family, he usually focuses on Markov chain, concentrating on Lyapunov function and intersecting with Small set, Weak convergence and Open problem. His Ergodicity research incorporates elements of Ergodic theory, Fractional Brownian motion, Jump and Hurst exponent.

- A theory of regularity structures (606 citations)
- Solving the KPZ equation (485 citations)
- Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing (425 citations)

Martin Hairer mostly deals with Mathematical analysis, Applied mathematics, Invariant measure, Pure mathematics and White noise. The study incorporates disciplines such as Fractional Brownian motion, Brownian motion and Ergodicity in addition to Mathematical analysis. His research in Applied mathematics intersects with topics in Rough path, Measure, Nonlinear system, Gaussian and Random walk.

He has included themes like Exponential function and Bifurcation in his Invariant measure study. His studies deal with areas such as Space, Initial value problem, Markov chain and Projection as well as Pure mathematics. His research in White noise intersects with topics in Partial differential equation and Mixing.

- Mathematical analysis (45.81%)
- Applied mathematics (25.99%)
- Invariant measure (14.98%)

- Pure mathematics (14.54%)
- Applied mathematics (25.99%)
- Statistical physics (10.13%)

His primary areas of study are Pure mathematics, Applied mathematics, Statistical physics, Mathematical analysis and Measure. His study explores the link between Pure mathematics and topics such as Heat equation that cross with problems in Diffeomorphism, Dirichlet form, Riemannian manifold, Multiplicative function and Rough path. The study incorporates disciplines such as Stochastic differential equation and Stochastic partial differential equation in addition to Rough path.

His Applied mathematics research includes themes of Discretization, Scale, Universality and White noise. His work deals with themes such as Fractional Brownian motion and Central limit theorem, which intersect with Mathematical analysis. The Measure study combines topics in areas such as Invariant measure, Sequence, Corollary and Coupling.

- A Course on Rough Paths: With an Introduction to Regularity Structures (188 citations)
- Algebraic renormalisation of regularity structures (91 citations)
- Multiplicative stochastic heat equations on the whole space (58 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

The scientist’s investigation covers issues in Space, Pure mathematics, Statistical physics, Mathematical analysis and Renormalization. His Space research integrates issues from Discrete mathematics, Group, Type, Stochastic partial differential equation and Class. His Pure mathematics study combines topics in areas such as Ergodicity, Brownian bridge, Stability theorem and Periodic boundary conditions.

His Statistical physics study combines topics from a wide range of disciplines, such as Cumulant, Leverage and Sine. His work in the fields of Mathematical analysis, such as Initial value problem, intersects with other areas such as Grid. His research integrates issues of Rough path, Brownian motion, Differential equation, Stochastic differential equation and Mixing in his study of Gaussian.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

A theory of regularity structures

Martin Hairer.

Inventiones Mathematicae **(2014)**

759 Citations

Solving the KPZ equation

Martin Hairer.

Annals of Mathematics **(2013)**

567 Citations

A Course on Rough Paths

Peter K. Friz;Martin Hairer.

**(2014)**

507 Citations

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

Martin Hairer;Jonathan C. Mattingly.

Annals of Mathematics **(2006)**

472 Citations

Yet Another Look at Harris’ Ergodic Theorem for Markov Chains

Martin Hairer;Jonathan C. Mattingly.

arXiv: Probability **(2011)**

364 Citations

A Course on Rough Paths: With an Introduction to Regularity Structures

Peter K. Friz;Martin Hairer.

**(2020)**

319 Citations

Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations

Martin Hairer;Martin Hairer;Jonathan Christopher Mattingly;Michael Scheutzow.

Probability Theory and Related Fields **(2011)**

227 Citations

An Introduction to Stochastic PDEs

Martin Hairer.

arXiv: Probability **(2009)**

218 Citations

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

Martin Hairer;Jonathan Christopher Mattingly.

Annals of Probability **(2008)**

187 Citations

Ergodicity of stochastic differential equations driven by fractional Brownian motion

Martin Hairer.

Annals of Probability **(2005)**

177 Citations

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