Manfred Denker

1.7k total citations · 1 hit paper
31 papers, 1.0k citations indexed

About

Manfred Denker is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Manfred Denker has authored 31 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Mathematical Physics, 8 papers in Geometry and Topology and 7 papers in Statistical and Nonlinear Physics. Recurrent topics in Manfred Denker's work include Mathematical Dynamics and Fractals (24 papers), Quantum chaos and dynamical systems (5 papers) and advanced mathematical theories (4 papers). Manfred Denker is often cited by papers focused on Mathematical Dynamics and Fractals (24 papers), Quantum chaos and dynamical systems (5 papers) and advanced mathematical theories (4 papers). Manfred Denker collaborates with scholars based in Germany, United States and Israel. Manfred Denker's co-authors include Christian Grillenberger, Karl Sigmund, Mariusz Urbański, Jon Aaronson, Hiroshi Satō, R. Daniel Mauldin, Zbigniew Nitecki, Robert Burton, Gerhard Keller and Susanne Koch and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Manfred Denker

27 papers receiving 877 citations

Hit Papers

Ergodic Theory on Compact Spaces 1976 2026 1992 2009 1976 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Ergodic Theory on Compact Spaces
    1976 536 citations Manfred Denker, Christian Grillenberger et al. Lecture notes in mathematics profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Manfred Denker Germany 12 936 324 289 214 134 31 1.0k
Jon Aaronson Israel 17 1.0k 1.1× 283 0.9× 370 1.3× 141 0.7× 162 1.2× 57 1.2k
Benoît Saussol France 17 958 1.0× 550 1.7× 183 0.6× 130 0.6× 77 0.6× 37 1.1k
Daniel J. Rudolph United States 19 1.0k 1.1× 201 0.6× 579 2.0× 347 1.6× 101 0.8× 76 1.2k
Manfred Denker Germany 16 660 0.7× 230 0.7× 186 0.6× 75 0.4× 109 0.8× 44 810
L. Olsen United Kingdom 18 1.1k 1.1× 324 1.0× 230 0.8× 168 0.8× 142 1.1× 84 1.2k
Sébastien Gouëzel France 17 796 0.9× 445 1.4× 202 0.7× 54 0.3× 122 0.9× 45 894
Jörg Schmeling Germany 13 789 0.8× 365 1.1× 198 0.7× 152 0.7× 55 0.4× 35 847
Christian Grillenberger Germany 8 586 0.6× 191 0.6× 159 0.6× 203 0.9× 40 0.3× 10 654
Paweł Góra Canada 11 421 0.4× 287 0.9× 100 0.3× 93 0.4× 69 0.5× 77 624
Dmitry Dolgopyat United States 15 627 0.7× 399 1.2× 130 0.4× 57 0.3× 73 0.5× 39 709

Countries citing papers authored by Manfred Denker

Since Specialization
Citations

This map shows the geographic impact of Manfred Denker'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 Manfred Denker with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Manfred Denker more than expected).

Fields of papers citing papers by Manfred Denker

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Manfred Denker. 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 Manfred Denker. The network helps show where Manfred Denker may publish in the future.

Co-authorship network of co-authors of Manfred Denker

This figure shows the co-authorship network connecting the top 25 collaborators of Manfred Denker. A scholar is included among the top collaborators of Manfred Denker 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 Manfred Denker. Manfred Denker 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.
Denker, Manfred, et al.. (2023). Dynamical hypothesis tests and decision theory for Gibbs distributions. Discrete and Continuous Dynamical Systems. 43(5). 1942–1958. 1 indexed citations
2.
Denker, Manfred & Anna Levina. (2015). Avalanche dynamics. Stochastics and Dynamics. 16(2). 1660005–1660005. 1 indexed citations
3.
Denker, Manfred, et al.. (2007). Conservativity of random Markov fibred systems. Ergodic Theory and Dynamical Systems. 28(1). 67–85. 1 indexed citations
4.
Denker, Manfred, et al.. (2004). Semiconjugacies for skew products of interval maps (Dynamics of Complex Systems 研究集会報告集). 数理解析研究所講究録. 1404(1404). 12–20.
5.
Denker, Manfred, et al.. (2004). A Poisson limit theorem for toral automorphisms. Illinois Journal of Mathematics. 48(1). 18 indexed citations
6.
Denker, Manfred & Susanne Koch. (2002). Almost sure local limit theorems. Statistica Neerlandica. 56(2). 143–151. 6 indexed citations
7.
Denker, Manfred & Hiroshi Satō. (1999). Sierpiński Gasket as a Martin Boundary II ($\!\textit{\textsf{The Intrinsic Metric}}$). Publications of the Research Institute for Mathematical Sciences. 35(5). 769–794. 22 indexed citations
8.
Aaronson, Jon & Manfred Denker. (1999). On exact group extensions. Data Archiving and Networked Services (DANS). 99047. 5 indexed citations
9.
Denker, Manfred, et al.. (1999). Gibbs Measures for Fibred Systems. Advances in Mathematics. 148(2). 161–192. 18 indexed citations
10.
Aaronson, Jon & Manfred Denker. (1998). Characteristic functions of random variables attracted to $1$-stable laws. The Annals of Probability. 26(1). 22 indexed citations
11.
Denker, Manfred, R. Daniel Mauldin, Zbigniew Nitecki, & Mariusz Urbański. (1998). Conformal measures for rational functions revisited. Fundamenta Mathematicae. 157(2). 161–173. 20 indexed citations
12.
Aaronson, Jon, Manfred Denker, & Mariusz Urbański. (1993). Ergodic theory for Markov fibred systems and parabolic rational maps. Transactions of the American Mathematical Society. 337(2). 495–548. 101 indexed citations
13.
Denker, Manfred & Mariusz Urbański. (1992). Geometric measures for parabolic rational maps. Ergodic Theory and Dynamical Systems. 12(1). 53–66. 26 indexed citations
14.
Denker, Manfred & Mariusz Urbański. (1991). Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points. Forum Mathematicum. 3(3). 39 indexed citations
15.
Aaronson, Jon & Manfred Denker. (1990). Upper Bounds for Ergodic Sums of Infinite Measure Preserving Transformations. Transactions of the American Mathematical Society. 319(1). 101–101. 4 indexed citations
16.
Aaronson, Jon & Manfred Denker. (1990). Upper bounds for ergodic sums of infinite measure preserving transformations. Transactions of the American Mathematical Society. 319(1). 101–138. 11 indexed citations
17.
Denker, Manfred, Christian Grillenberger, & Gerhard Keller. (1985). A note on invariance principles for v. Mises' statistics. Metrika. 32(1). 197–214. 11 indexed citations
18.
Dehling, Herold, Manfred Denker, & Walter Philipp. (1984). Versik Processes and Very Weak Bernoulli Processes with Summable Rates are Independent. Proceedings of the American Mathematical Society. 91(4). 618–618. 3 indexed citations
19.
Denker, Manfred & Konrad Jacobs. (1979). Ergodic theory : proceedings, Oberwolfach, Germany, June 11-17, 1978. Springer eBooks.
20.
Denker, Manfred, Christian Grillenberger, & Karl Sigmund. (1976). Ergodic Theory on Compact Spaces. Lecture notes in mathematics. 536 indexed citations breakdown →

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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Breakdown of academic impact, for papers by Jon Aaronson Breakdown of academic impact, for papers by Benoît Saussol Breakdown of academic impact, for papers by Daniel J. Rudolph Breakdown of academic impact, for papers by Manfred Denker Breakdown of academic impact, for papers by L. Olsen Breakdown of academic impact, for papers by Sébastien Gouëzel Breakdown of academic impact, for papers by Jörg Schmeling Breakdown of academic impact, for papers by Christian Grillenberger Breakdown of academic impact, for papers by Paweł Góra Breakdown of academic impact, for papers by Dmitry Dolgopyat
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