Michael Röckner

13.0k citations
355 papers · 8.1k · 2 hit papers · h-index 45

Impact in

    • advanced mathematical theories
    • Stochastic processes and statistical mechanics
    • Spectral Theory in Mathematical Physics
  • Finance top 0.1%
    • Stochastic processes and financial applications

Papers in

    • advanced mathematical theories 75
    • Spectral Theory in Mathematical Physics 56
    • Stochastic processes and statistical mechanics 52
    • Mathematical Dynamics and Fractals 39
    • Stochastic processes and financial applications 155

Michael Röckner

334 papers receiving 7.3k citations

Michael Röckner's Hit Papers

Stochastic Partial Differential Equations: An Introduction 2015 · 307 citations
3070+11+22Years since publication200400600

Peers

Michael Röckner
Comparison fields: 5 of 94
  • Mathematical Physics 4.1k
  • Finance 3.9k
  • Applied Mathematics 3.2k
  • Computational Theory and Mathematics 2.7k
  • Modeling and Simulation 589
Replace Н. В. Крылов with:
Н. В. Крылов United States
Giuseppe Da Prato Italy
Jerzy Zabczyk Poland
Shinzo Watanabe Japan
Daniel W. Stroock United States
Panagiotis E. Souganidis United States
В. И. Богачев Russia
David Nualart Spain
Guy Barles France
Martin Hairer United Kingdom
Michael Röckner relative to Н. В. Крылов United States Н. В. Крылов's profile →
Citations per field
00.5×4.4×
Н. В. Крылов · 1×
Citations per year

Countries citing papers authored by Michael Röckner

Since Specialization
Citations

This map shows the geographic impact of Michael Röckner's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Röckner with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Röckner more than expected).

Fields of papers citing papers by Michael Röckner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Röckner. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Röckner. The network helps show where Michael Röckner may publish in the future.

Co-authors

The 25 scholars most cited alongside Michael Röckner, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Michael Röckner Line = papers co-authored together Michael Röckner links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 355 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Introduction to the Theory of (Non-Symmetric) Dirichlet Forms
Hit paper breakdown →
1992709
2
Stochastic Partial Differential Equations: An Introduction
Hit paper breakdown →
2015307
3 2004246
4 2015188
5 1991165
6 1998165
7 2001165
8 1990125
9 2010111
10 1998107
11 2001104
12 2007103
13 2011102
14 200499
15 200796
16 199582
17 199278
18 198976
19 200376
20 200973

About Michael Röckner

Michael Röckner is a scholar working on Mathematical Physics, Finance, Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering, having authored 355 papers that have together received 8.1k indexed citations. Recurring topics across this work include Stochastic processes and financial applications (155 papers), Advanced Mathematical Modeling in Engineering (116 papers), advanced mathematical theories (75 papers), Spectral Theory in Mathematical Physics (56 papers), Stochastic processes and statistical mechanics (52 papers), Nonlinear Partial Differential Equations (48 papers), Stability and Controllability of Differential Equations (44 papers) and Mathematical Dynamics and Fractals (39 papers). The work is most often cited by research in Mathematical Physics (4.1k citations), Finance (3.9k citations), Applied Mathematics (3.2k citations), Computational Theory and Mathematics (2.7k citations) and Modeling and Simulation (589 citations). Michael Röckner has collaborated with scholars based in Germany, China and Russia. Frequent co-authors include В. И. Богачев, Sergio Albeverio, Zhi-Ming Ma, Feng‐Yu Wang, Н. В. Крылов, Giuseppe Da Prato, Wei Liu, Viorel Barbu, Xicheng Zhang and Yu. G. Kondratiev. Their work appears in journals such as Journal of Functional Analysis, Journal of Differential Equations, The Annals of Probability, Probability Theory and Related Fields and Infinite Dimensional Analysis Quantum Probability and Related Topics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact