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Michael Röckner

Michael Röckner

Bielefeld University
Germany

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Mathematics
Germany
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 74 220 187 10 10 450 19332

Michael Röckner publications per year

The chart shows the history of publications by Michael Röckner between 1983 and 2026, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Michael Röckner published across 44 years, from 1983 to 2026, averaging 12.1 papers a year. Output peaked at 31 publications in 2015. 18 of the 534 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1983 to 2026. Vertical axis: number of publications, 0 to 31. Peak 31 publications in 2015. 1983: 1 publication 1984: 1 publication 1985: 2 publications 1986: 1 publication 1987: 0 publications 1988: 2 publications 1989: 5 publications 1990: 6 publications 1991: 3 publications 1992: 16 publications 1993: 9 publications 1994: 5 publications 1995: 12 publications 1996: 7 publications 1997: 9 publications 1998: 14 publications 1999: 14 publications 2000: 8 publications 2001: 18 publications 2002: 12 publications 2003: 11 publications 2004: 16 publications 2005: 14 publications 2006: 14 publications 2007: 14 publications 2008: 14 publications 2009: 18 publications 2010: 16 publications 2011: 12 publications 2012: 16 publications 2013: 13 publications 2014: 17 publications 2015: 31 publications 2016: 17 publications 2017: 11 publications 2018: 13 publications 2019: 18 publications 2020: 14 publications 2021: 27 publications 2022: 23 publications 2023: 19 publications 2024: 23 publications 2025: 17 publications 2026: 1 publication
1983 2026

534 publications in total across all disciplines

View publications per year as a table
Michael Röckner: publications per year, 1983 to 2026
Year Publications
1983 1
1984 1
1985 2
1986 1
1987 0
1988 2
1989 5
1990 6
1991 3
1992 16
1993 9
1994 5
1995 12
1996 7
1997 9
1998 14
1999 14
2000 8
2001 18
2002 12
2003 11
2004 16
2005 14
2006 14
2007 14
2008 14
2009 18
2010 16
2011 12
2012 16
2013 13
2014 17
2015 31
2016 17
2017 11
2018 13
2019 18
2020 14
2021 27
2022 23
2023 19
2024 23
2025 17
2026 1
Total 534
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Michael Röckner publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Michael Röckner sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 447–451 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 450 publications — 96th percentile

96% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4 450
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Michael Röckner D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Michael Röckner sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 74 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 74 D-Index — 94th percentile

94% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18 74
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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

External Links

Wikipedia of Michael Röckner Personal website of Michael Röckner Google Scholar page

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Best Scientists Citing Michael Röckner

Feng-Yu Wang

Feng-Yu Wang

Tianjin University

Publications: 155

Sergio Albeverio

Sergio Albeverio

University of Bonn

Publications: 108

Giuseppe Da Prato

Giuseppe Da Prato

Scuola Normale Superiore di Pisa

Publications: 53

Tusheng Zhang

Tusheng Zhang

University of Manchester

Publications: 50

Franco Flandoli

Franco Flandoli

Scuola Normale Superiore di Pisa

Publications: 48

Vladimir I. Bogachev

Vladimir I. Bogachev

National Research University Higher School of Economics

Publications: 43

Arnulf Jentzen

Arnulf Jentzen

Chinese University of Hong Kong, Shenzhen

Publications: 42

Xicheng Zhang

Xicheng Zhang

Wuhan University

Publications: 38

Zhen-Qing Chen

Zhen-Qing Chen

University of Washington

Publications: 35

Francesco Russo

Francesco Russo

École Nationale Supérieure de Techniques Avancées

Publications: 34

Viorel Barbu

Viorel Barbu

Alexandru Ioan Cuza University

Publications: 32

Zdzisław Brzeźniak

Zdzisław Brzeźniak

University of York

Publications: 28

Massimiliano Gubinelli

Massimiliano Gubinelli

University of Oxford

Publications: 22

Martin Hairer

Martin Hairer

Imperial College London

Publications: 21

Jinqiao Duan

Jinqiao Duan

Great Bay University

Publications: 20

Ludwig Streit

Ludwig Streit

Bielefeld University

Publications: 19

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