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Michael Röckner

Michael Röckner

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Mathematics
Germany
2026

D-Index & Metrics

Mathematics

D-Index
74
Citations
19332
World Ranking
220
National Ranking
10

Research.com Recognitions

  • 2026 - Research.com Mathematics in Germany Leader Award
  • 2020 - Member of Academia Europaea

Overview

Michael Röckner is affiliated with Bielefeld University in Germany and has a research focus spanning mathematics and economics, econometrics, and finance. Their scholarly work centers predominantly on stochastic processes and financial applications, reflecting comprehensive involvement in several advanced mathematical and physical sciences areas.

The main fields of study addressed in their publications include:

  • Mathematics
  • Economics, Econometrics and Finance

The key subfields covered by their research are:

  • Finance
  • Mathematical Physics
  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Computational Theory and Mathematics

Among the principal topics explored in their work are:

  • Stochastic processes and financial applications
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Statistical Mechanics and Entropy
  • Nonlinear Partial Differential Equations
  • Navier-Stokes equation solutions
  • Spectral Theory in Mathematical Physics

Michael Röckner has published extensively in a variety of journals and platforms, with the most frequent publication venues being:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Stochastic Partial Differential Equations Analysis and Computations
  • Probability Theory and Related Fields
  • Journal of Functional Analysis

Notable recent papers include:

  • Well-posedness of distribution dependent SDEs with singular drifts, 2021, Bernoulli
  • Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations, 2021, Annales de l Institut Henri Poincaré Probabilités et Statistiques
  • Diffusion approximation for fully coupled stochastic differential equations, 2021, The Annals of Probability
  • Averaging Principle and Normal Deviations for Multiscale Stochastic Systems, 2021, Communications in Mathematical Physics
  • Superposition principle for non-local Fokker-Planck-Kolmogorov operators, 2020, Probability Theory and Related Fields

Frequent collaborators include:

  • Viorel Barbu
  • В. И. Богачев
  • Zimo Hao
  • Lucian Beznea
  • Xicheng Zhang

In addition to articles, Michael Röckner has authored books with Springer Nature, including "Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts" published in 2024.

Michael Röckner was recognized as a Member of Academia Europaea in 2020.

Best Publications

  • Introduction to the theory of (non-symmetric) Dirichlet forms

    Michael Röckner;Zhi-Ming Ma

  • A Concise Course on Stochastic Partial Differential Equations

    Claudia Prévôt;Michael Röckner

  • Stochastic Partial Differential Equations: An Introduction

    Wei Liu;Michael Röckner

  • Strong solutions of stochastic equations with singular time dependent drift

    Nicolai V Krylov;M. Röckner

  • Fokker-planck-kolmogorov Equations

    Vladimir Bogachev;Nicolai Krylov;Michael Röckner;Stanislav Shaposhnikov

  • Analysis and Geometry on Configuration Spaces

    S Albeverio;Yu.G Kondratiev;M Röckner

  • Stochastic differential equations in infinite dimensions : solutions via Dirichlet forms

    S. Albeverio;M. Röckner

  • ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS

    V. I. Bogachev;Nicolai V Krylov;M. Röckner

  • Classical Dirichlet forms on topological vector spaces—Closability and a Cameron-Martin formula

    Sergio Albeverio;Michael Röckner

  • Analysis and Geometry on Configuration Spaces: The Gibbsian Case☆

    S Albeverio;S Albeverio;Yu.G Kondratiev;Yu.G Kondratiev;M Röckner

  • Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups

    Michael Röckner;Feng-Yu Wang

  • SPDE in Hilbert space with locally monotone coefficients

    Wei Liu;Michael Röckner;Michael Röckner

  • Classical dirichlet forms on topological vector spaces-the construction of the associated diffusion process

    Sergio Albeverio;Sergio Albeverio;Michael Röckner

  • Harnack and functional inequalities for generalized Mehler semigroups

    Michael Röckner;Feng-Yu Wang

  • Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipshitz reaction term

    Sandra Cerrai;Michael Röckner

  • Stochastic generalized porous media and fast diffusion equations

    Jiagang Ren;Michael Röckner;Feng-Yu Wang

  • Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles

    Michael Röckner;Tusheng Zhang

  • Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift

    G. Da Prato;F. Flandoli;Enrico Priola;M. Rockner

  • Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications

    V.I. Bogachev;M. Rockner

  • Random attractors for a class of stochastic partial differential equations driven by general additive noise

    Benjamin Gess;Wei Liu;Michael Röckner;Michael Röckner

  • Uniqueness of generalized Schrödinger operators and applications

    Michael Röckner;Zhang Tu-Sheng

Frequent Co-Authors

Vladimir I. Bogachev
Vladimir I. Bogachev National Research University Higher School of Economics
Sergio Albeverio
Sergio Albeverio University of Bonn
Viorel Barbu
Viorel Barbu Alexandru Ioan Cuza University
Feng-Yu Wang
Feng-Yu Wang Tianjin University
Giuseppe Da Prato
Giuseppe Da Prato Scuola Normale Superiore di Pisa
Xicheng Zhang
Xicheng Zhang Wuhan University
Nicolai V Krylov
Nicolai V Krylov University of Minnesota
Franco Flandoli
Franco Flandoli Scuola Normale Superiore di Pisa
Francesco Russo
Francesco Russo École Nationale Supérieure de Techniques Avancées
Jürgen Jost
Jürgen Jost Max Planck Institute for Mathematics in the Sciences

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