Michael Röckner

13.7k total citations · 3 hit papers
309 papers, 7.7k citations indexed

About

Michael Röckner is a scholar working on Mathematical Physics, Finance and Computational Theory and Mathematics. According to data from OpenAlex, Michael Röckner has authored 309 papers receiving a total of 7.7k indexed citations (citations by other indexed papers that have themselves been cited), including 176 papers in Mathematical Physics, 145 papers in Finance and 116 papers in Computational Theory and Mathematics. Recurrent topics in Michael Röckner's work include Stochastic processes and financial applications (145 papers), Advanced Mathematical Modeling in Engineering (109 papers) and advanced mathematical theories (61 papers). Michael Röckner is often cited by papers focused on Stochastic processes and financial applications (145 papers), Advanced Mathematical Modeling in Engineering (109 papers) and advanced mathematical theories (61 papers). Michael Röckner collaborates with scholars based in Germany, China and Russia. Michael Röckner's 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 С. В. Шапошников and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and Lecture notes in mathematics.

In The Last Decade

Michael Röckner

296 papers receiving 7.0k citations

Hit Papers

Introduction to the Theory of (Non-Symmetric) Dirichlet F... 1992 2026 2003 2014 1992 2007 2015 200 400 600

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Röckner Germany 43 3.9k 3.7k 3.1k 2.7k 1.5k 309 7.7k
Giuseppe Da Prato Italy 41 4.1k 1.0× 2.6k 0.7× 3.5k 1.2× 3.6k 1.3× 3.9k 2.6× 258 9.1k
Jerzy Zabczyk Poland 31 4.5k 1.1× 2.0k 0.5× 2.5k 0.8× 2.6k 1.0× 3.3k 2.2× 92 7.7k
Н. В. Крылов United States 38 3.0k 0.8× 2.0k 0.5× 3.3k 1.1× 2.6k 1.0× 992 0.7× 200 6.5k
S. R. S. Varadhan United States 38 1.6k 0.4× 3.4k 0.9× 1.4k 0.5× 1.4k 0.5× 341 0.2× 98 7.0k
Panagiotis E. Souganidis United States 39 1.2k 0.3× 1.3k 0.4× 2.2k 0.7× 2.0k 0.7× 546 0.4× 130 5.7k
Shinzo Watanabe Japan 26 3.0k 0.8× 2.4k 0.7× 1.2k 0.4× 940 0.3× 534 0.4× 60 5.4k
David Nualart Spain 30 3.9k 1.0× 1.7k 0.4× 998 0.3× 584 0.2× 536 0.4× 128 4.8k
Guy Barles France 39 1.9k 0.5× 862 0.2× 2.5k 0.8× 2.1k 0.8× 678 0.5× 112 5.5k
В. И. Богачев Russia 28 1.1k 0.3× 1.8k 0.5× 1.7k 0.6× 1.1k 0.4× 408 0.3× 226 3.9k
Arnaud Debussche France 34 1.7k 0.4× 1.3k 0.3× 958 0.3× 1.3k 0.5× 1.3k 0.9× 109 3.9k

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-authorship network of co-authors of Michael Röckner

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Röckner. A scholar is included among the top collaborators of Michael Röckner based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Röckner. Michael Röckner is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Röckner, Michael, et al.. (2026). Second-order fractional mean-field SDEs with singular kernels and measure initial data. The Annals of Probability. 54(1).
2.
Gołdys, Beniamin, et al.. (2024). Operator semigroups in the mixed topology and the infinitesimal description of Markov processes. Journal of Differential Equations. 412. 23–86. 4 indexed citations
3.
Röckner, Michael, et al.. (2023). Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations. Transactions of the American Mathematical Society. 1 indexed citations
4.
Liu, Zhenxin, et al.. (2023). Averaging principle for stochastic complex Ginzburg-Landau equations. Journal of Differential Equations. 368. 58–104. 1 indexed citations
5.
Federico, Salvatore, Giorgio Ferrari, Frank Riedel, & Michael Röckner. (2021). On a class of infinite-dimensional singular stochastic control problems. Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna). 1 indexed citations
6.
Röckner, Michael & Francesco Russo. (2016). Uniqueness for a class of stochastic Fokker-Planck and porous media\n equations. arXiv (Cornell University). 1 indexed citations
7.
Barbu, Viorel, Michael Röckner, & Francesco Russo. (2016). Doubly probabilistic representation for the stochastic porous media type\n equation. arXiv (Cornell University). 1 indexed citations
8.
Богачев, В. И., Н. В. Крылов, Michael Röckner, & С. В. Шапошников. (2015). Fokker–Planck–Kolmogorov Equations. Mathematical surveys and monographs. 176 indexed citations
9.
Röckner, Michael, et al.. (2012). Local/global existence and uniqueness of solutions for SPDE with generalized coercivity condition. arXiv (Cornell University). 1 indexed citations
10.
Prato, Giuseppe Da, Franco Flandoli, Enrico Priola, & Michael Röckner. (2011). Strong uniqueness for stochastic evolution equations in Hilbert spaces with bounded measurable drift. arXiv (Cornell University). 3 indexed citations
11.
Богачев, В. И., et al.. (2009). Elliptic and parabolic equations for measures. Russian Mathematical Surveys. 64(6). 973–1078. 71 indexed citations
12.
Barbu, Viorel, Giuseppe Da Prato, & Michael Röckner. (2008). Some Results on Stochastic Porous Media Equations. Bollettino Della Unione Matematica Italiana. 1(1). 1–16. 9 indexed citations
13.
Богачев, В. И., Giuseppe Da Prato, & Michael Röckner. (2004). Invariant measures of generalized stochastic porous medium equations. PUB – Publications at Bielefeld University (Bielefeld University). 3 indexed citations
14.
Kondratiev, Yuri, Eugene Lytvynov, & Michael Röckner. (2003). The Heat Semigroup on Configuration Spaces. Publications of the Research Institute for Mathematical Sciences. 39(1). 1–48. 4 indexed citations
15.
Ma, Zhi-Ming & Michael Röckner. (2000). Construction of diffusions on configuration spaces. Osaka Journal of Mathematics. 37(2). 273–314. 37 indexed citations
16.
Röckner, Michael & Tusheng Zhang. (1997). Convergence of operators semigroups generated by elliptic operators. Osaka Journal of Mathematics. 34(4). 923–932. 10 indexed citations
17.
Röckner, Michael, et al.. (1996). Finite dimensional approximation of diffusion processes on infinite dimensional spaces. Stochastics and stochastics reports. 57(1-2). 37–55. 9 indexed citations
18.
Röckner, Michael, et al.. (1996). Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces. PUB – Publications at Bielefeld University (Bielefeld University). 16 indexed citations
19.
Albeverio, Sergio, Yu. G. Kondratiev, & Michael Röckner. (1996). Differential geometry of Poisson spaces. PUB – Publications at Bielefeld University (Bielefeld University). 323(10). 1129–1134. 38 indexed citations
20.
Fukushima, Masatoshi, et al.. (1991). CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE. PUB – Publications at Bielefeld University (Bielefeld University). 3 indexed citations

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.

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