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Mathematics

D-Index
57
Citations
11932
World Ranking
695
National Ranking
51

Research.com Recognitions

  • 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 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
  • 2015 - Member of Academia Europaea
  • 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.
  • 2014 - Fellow of the Royal Society, United Kingdom

Overview

Martin Hairer is affiliated with Imperial College London in the United Kingdom. Their research primarily spans mathematics and economics, econometrics, and finance, with significant contributions to several subfields such as mathematical physics, finance, applied mathematics, computational theory and mathematics, and statistics and probability.

The scientist's work covers various topics consistently addressed across numerous publications. These include:

  • Stochastic processes and financial applications
  • Stochastic processes and statistical mechanics
  • Advanced Mathematical Modeling in Engineering
  • Theoretical and Computational Physics
  • Mathematical Dynamics and Fractals
  • Markov Chains and Monte Carlo Methods
  • Geometric Analysis and Curvature Flows

Recent notable papers by Martin Hairer include:

  • "Renormalising SPDEs in regularity structures", 2020, Journal of the European Mathematical Society
  • "Averaging dynamics driven by fractional Brownian motion", 2020, The Annals of Probability
  • "Geometric stochastic heat equations", 2021, Journal of the American Mathematical Society
  • "Langevin dynamic for the 2D Yang-Mills measure", 2022, Publications mathématiques de l IHÉS
  • "The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality", 2024, Archive for Rational Mechanics and Analysis

The scientist has collaborated frequently with a number of scholars, including:

  • Peter K. Friz
  • Xue-Mei Li
  • Tommaso Rosati
  • Ilya Chevyrev
  • Hao Shen

Martin Hairer's scholarly output includes book publications. One published by Springer Nature is titled A Course on Rough Paths, released in 2020.

The scientist has published extensively in various academic venues, with frequent appearances in:

  • arXiv (Cornell University)
  • Communications on Pure and Applied Mathematics
  • The Annals of Probability
  • Archive for Rational Mechanics and Analysis
  • Communications in Mathematical Physics

Martin Hairer has been recognized with multiple awards, including:

  • Wald Memorial Lecturer (2022)
  • Member of the European Academy of Sciences (2020)
  • Polish Academy of Science (2017)
  • Fellow of the American Mathematical Society (2016) for contributions to the theory of stochastic partial differential equations, in particular introducing a theory of regularity structures for such equations
  • Member of Academia Europaea (2015)
  • German National Academy of Sciences Leopoldina (2015) for work in mathematics
  • Fellow of the Royal Society, United Kingdom (2014)
  • Fields Medal of the International Mathematical Union (2014) for outstanding contributions to the theory of stochastic partial differential equations and the creation of a theory of regularity structures

Best Publications

  • A theory of regularity structures

    Martin Hairer

  • Solving the KPZ equation

    Martin Hairer

  • A Course on Rough Paths

    Peter K. Friz;Martin Hairer

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

    Martin Hairer;Jonathan C. Mattingly

  • Yet Another Look at Harris’ Ergodic Theorem for Markov Chains

    Martin Hairer;Jonathan C. Mattingly

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

    Peter K. Friz;Martin Hairer

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

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

  • A Wong-Zakai theorem for stochastic PDEs

    Martin Hairer;Étienne Pardoux

  • Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions

    Martin Hairer;Andrew M. Stuart;Sebastian J. Vollmer

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

    Martin Hairer;Jonathan Christopher Mattingly

  • An Introduction to Stochastic PDEs

    Martin Hairer

  • Algebraic renormalisation of regularity structures

    Yvain Bruned;Martin Hairer;Lorenzo Zambotti

  • Ergodicity of stochastic differential equations driven by fractional Brownian motion

    Martin Hairer

  • Exponential ergodicity for Markov processes with random switching

    Bertrand Cloez;Martin Hairer

  • Exponential mixing properties of stochastic PDEs through asymptotic coupling

    M. Hairer

  • Non-Equilibrium Statistical Mechanics¶of Strongly Anharmonic Chains of Oscillators

    J.-P. Eckmann;M. Hairer

  • A simple framework to justify linear response theory

    Martin Hairer;Andrew J Majda

  • An analytic BPHZ theorem for regularity structures

    Ajay Chandra;Martin Hairer

  • A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs

    Martin Hairer;Jonathan C Mattingly

  • A class of growth models rescaling to KPZ

    Martin Hairer;Jeremy Quastel

  • Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations

    Martin Hairer;Jonathan C. Mattingly;Michael Scheutzow

Frequent Co-Authors

Peter K. Friz
Peter K. Friz Technical University of Berlin
Jonathan C. Mattingly
Jonathan C. Mattingly Duke University
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Grigorios A. Pavliotis
Grigorios A. Pavliotis Imperial College London
Etienne Pardoux
Etienne Pardoux Aix-Marseille University
Jean-Pierre Eckmann
Jean-Pierre Eckmann University of Geneva
Alice Guionnet
Alice Guionnet École Normale Supérieure de Lyon
Richard F. Bass
Richard F. Bass University of Connecticut
Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Franco Flandoli
Franco Flandoli Scuola Normale Superiore di Pisa

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