Manfred Denker

1.6k total citations
44 papers, 810 citations indexed

About

Manfred Denker is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Manfred Denker has authored 44 papers receiving a total of 810 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 12 papers in Geometry and Topology and 12 papers in Computational Theory and Mathematics. Recurrent topics in Manfred Denker's work include Mathematical Dynamics and Fractals (28 papers), Stochastic processes and statistical mechanics (8 papers) and Advanced Differential Equations and Dynamical Systems (5 papers). Manfred Denker is often cited by papers focused on Mathematical Dynamics and Fractals (28 papers), Stochastic processes and statistical mechanics (8 papers) and Advanced Differential Equations and Dynamical Systems (5 papers). Manfred Denker collaborates with scholars based in Germany, United States and Israel. Manfred Denker's co-authors include Mariusz Urbański, Jon Aaronson, Walter Philipp, Edgar Brunner, Feliks Przytycki, Robert Burton, Hiroshi Satō, Herold Dehling, Adam Jakubowski and Michaël Keane and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Manfred Denker

43 papers receiving 714 citations

Peers

Manfred Denker
Manfred Denker
Citations per year, relative to Manfred Denker Manfred Denker (= 1×) peers Yves Guivarc’h

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 & Hajo Holzmann. (2008). Markov partitions for fibre expanding systems. Colloquium Mathematicum. 110(2). 485–492.
2.
Denker, Manfred & Zakhar Kabluchko. (2007). An Erdös-Rényi law for mixing processes. 8 indexed citations
3.
Denker, Manfred & Hiroshi Satō. (2002). Reflections on Harmonic Analysis of the Sierpiński Gasket. Mathematische Nachrichten. 241(1). 32–55. 10 indexed citations
4.
Denker, Manfred & Hiroshi Satō. (2001). Sierpiński Gasket as a Martin Boundary I: Martin Kernels; Dedicated to Professor Masatoshi Fukushima on the occasion of his 60th birthday. Potential Analysis. 14(3). 211–232. 17 indexed citations
5.
Bhattacharya, Rabi, et al.. (1999). Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Stochastic Processes and their Applications. 80(1). 55–86. 6 indexed citations
6.
Denker, Manfred, Feliks Przytycki, & Mariusz Urbański. (1996). On the transfer operator for rational functions on the Riemann sphere. Ergodic Theory and Dynamical Systems. 16(2). 255–266. 53 indexed citations
7.
Compagnone, Daniele & Manfred Denker. (1996). Nonparametric tests for scale and location. Journal of nonparametric statistics. 7(2). 123–154. 6 indexed citations
8.
Burton, Robert, Manfred Denker, & Meir Smorodinsky. (1996). Finite state bilaterally deterministic strongly mixing processes. Israel Journal of Mathematics. 95(1). 115–133. 2 indexed citations
9.
Brunner, Edgar & Manfred Denker. (1994). Rank statistics under dependent observations and applications to factorial designs. Journal of Statistical Planning and Inference. 42(3). 353–378. 51 indexed citations
10.
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). 495–495. 32 indexed citations
11.
Aaronson, Jon, Manfred Denker, & Albert M. Fisher. (1992). Second Order Ergodic Theorems for Ergodic Transformations of Infinite Measure Spaces. Proceedings of the American Mathematical Society. 114(1). 115–115. 4 indexed citations
12.
Denker, Manfred & Mariusz Urbański. (1991). Hausdorff measures on Julia sets of subexpanding rational maps. Israel Journal of Mathematics. 76(1-2). 193–214. 9 indexed citations
13.
Denker, Manfred. (1989). The central limit theorem for dynamical systems. Banach Center Publications. 23(1). 33–62. 29 indexed citations
14.
Denker, Manfred & Madan L. Puri. (1988). Asymptotic behavior of multi-response permutation procedures. Advances in Applied Mathematics. 9(2). 200–210. 2 indexed citations
15.
Burton, Robert & Manfred Denker. (1987). On the central limit theorem for dynamical systems. Transactions of the American Mathematical Society. 302(2). 715–726. 32 indexed citations
16.
Dehling, Herold, Manfred Denker, & Walter Philipp. (1986). A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics. Probability Theory and Related Fields. 72(1). 111–131. 18 indexed citations
17.
Denker, Manfred & Uwe Rösler. (1985). SOME CONTRIBUTIONS TO CHERNOFF-SAVAGE THEOREMS. Statistics & Risk Modeling. 3(1-2). 13 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). 618–624. 5 indexed citations
19.
Denker, Manfred & Walter Philipp. (1984). Approximation by Brownian motion for Gibbs measures and flows under a function. Ergodic Theory and Dynamical Systems. 4(4). 541–552. 85 indexed citations
20.
Denker, Manfred. (1979). Almost-topological representation theorems for dynamical systems. Monatshefte für Mathematik. 87(2). 93–108. 1 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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