Walter Bergweiler

1.9k total citations
91 papers, 1.1k citations indexed

About

Walter Bergweiler is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Walter Bergweiler has authored 91 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 77 papers in Applied Mathematics, 61 papers in Geometry and Topology and 33 papers in Mathematical Physics. Recurrent topics in Walter Bergweiler's work include Meromorphic and Entire Functions (73 papers), Advanced Differential Equations and Dynamical Systems (41 papers) and Mathematical Dynamics and Fractals (32 papers). Walter Bergweiler is often cited by papers focused on Meromorphic and Entire Functions (73 papers), Advanced Differential Equations and Dynamical Systems (41 papers) and Mathematical Dynamics and Fractals (32 papers). Walter Bergweiler collaborates with scholars based in Germany, United States and United Kingdom. Walter Bergweiler's co-authors include Alexandre Erëmenko, Katsuya Ishizaki, Niro Yanagihara, A. Hinkkanen, Xuecheng Pang, Yuefei Wang, J. K. Langley, Janina Kotus, Lutz Volkmann and Gerhard Jank and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Walter Bergweiler

85 papers receiving 955 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Walter Bergweiler Germany 18 961 818 405 54 45 91 1.1k
Paulo Sad Brazil 10 370 0.4× 695 0.8× 492 1.2× 44 0.8× 145 3.2× 27 835
Jürgen Leiterer Germany 11 439 0.5× 284 0.3× 206 0.5× 64 1.2× 27 0.6× 45 570
P. J. Rippon United Kingdom 13 385 0.4× 377 0.5× 417 1.0× 28 0.5× 89 2.0× 64 589
Norbert Steinmetz Germany 12 429 0.4× 386 0.5× 157 0.4× 32 0.6× 97 2.2× 49 569
Takeo Ohsawa Japan 20 895 0.9× 1.0k 1.2× 336 0.8× 92 1.7× 17 0.4× 102 1.2k
S. M. Webster United States 17 1.1k 1.1× 785 1.0× 228 0.6× 129 2.4× 47 1.0× 33 1.2k
Zbigniew Słodkowski United States 12 511 0.5× 391 0.5× 311 0.8× 80 1.5× 44 1.0× 54 658
Klas Diederich Germany 22 1.5k 1.6× 1.1k 1.3× 306 0.8× 143 2.6× 22 0.5× 83 1.6k
Alexander Brudnyi Canada 12 282 0.3× 280 0.3× 166 0.4× 69 1.3× 69 1.5× 81 429
Joseph A. Cima United States 19 963 1.0× 368 0.4× 314 0.8× 237 4.4× 8 0.2× 93 1.1k

Countries citing papers authored by Walter Bergweiler

Since Specialization
Citations

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

Fields of papers citing papers by Walter Bergweiler

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Walter Bergweiler

This figure shows the co-authorship network connecting the top 25 collaborators of Walter Bergweiler. A scholar is included among the top collaborators of Walter Bergweiler 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 Walter Bergweiler. Walter Bergweiler 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.
Bergweiler, Walter, et al.. (2025). On the boundary of an immediate attracting basin of a hyperbolic entire function. Journal of the London Mathematical Society. 111(3). 1 indexed citations
2.
Bergweiler, Walter, et al.. (2024). Hausdorff dimension in quasiregular dynamics. Israel Journal of Mathematics. 265(1). 429–465.
3.
Bergweiler, Walter, Alexandre Erëmenko, & Lasse Rempe. (2023). Second order linear differential equations with a basis of solutions having only real zeros. Journal d Analyse Mathématique. 152(1). 53–108.
4.
Bergweiler, Walter, et al.. (2023). The Hausdorff Dimension of Escaping Sets of Meromorphic Functions in the Speiser Class. International Mathematics Research Notices. 2024(9). 7281–7306.
5.
Bergweiler, Walter, et al.. (2023). On Conformal Metrics of Constant Positive Curvature in the Plane. 19(1). 59–73. 1 indexed citations
6.
Bergweiler, Walter & Janina Kotus. (2012). On the Hausdorff dimension of the escaping set of certain meromorphic functions. Transactions of the American Mathematical Society. 364(10). 5369–5394. 10 indexed citations
7.
Bergweiler, Walter & Gwyneth M. Stallard. (2010). Mini-Workshop: The Escaping Set in Transcendental Dynamics. Oberwolfach Reports. 6(4). 2927–2964. 3 indexed citations
8.
Bergweiler, Walter. (2007). Permutable Entire Functions Satisfying Algebraic Differential Equations. Computational Methods and Function Theory. 8(1). 101–106. 1 indexed citations
9.
Bergweiler, Walter. (2002). AHLFORS THEORY AND COMPLEX DYNAMICS : PERIODIC POINTS OF ENTIRE FUNCTIONS (Complex dynamics and related fields). Kyoto University Research Information Repository (Kyoto University). 1269. 1–11. 1 indexed citations
10.
Bergweiler, Walter. (2002). A question of Eremenko and Lyubich concerning completely invariant domains and indirect singularities. Proceedings of the American Mathematical Society. 130(11). 3231–3236. 1 indexed citations
11.
Bergweiler, Walter, et al.. (2002). Semihyperbolic entire functions. Nonlinearity. 15(5). 1673–1684. 7 indexed citations
12.
Bergweiler, Walter, et al.. (2001). Periodic points and normal families. Proceedings of the American Mathematical Society. 129(10). 2881–2888. 11 indexed citations
13.
Bergweiler, Walter. (2000). Normality and exceptional values of derivatives. Proceedings of the American Mathematical Society. 129(1). 121–129. 18 indexed citations
14.
Bergweiler, Walter. (1998). On a theorem of gol'dberg concerning meromorphic solutions of algebraic differential equations. Complex Variables Theory and Application An International Journal. 37(1-4). 93–96. 13 indexed citations
15.
Bergweiler, Walter & Steffen Rohde. (1995). Omitted Values in Domains of Normality. Proceedings of the American Mathematical Society. 123(6). 1857–1857. 1 indexed citations
16.
Bergweiler, Walter. (1995). On Factorization of Certain Entire-Functions. Journal of Mathematical Analysis and Applications. 193(3). 1003–1007. 4 indexed citations
17.
Bergweiler, Walter, et al.. (1993). On the limit functions of iterates in wandering domains. Annales Academiae Scientiarum Fennicae Mathematica. 369–375. 44 indexed citations
18.
Bergweiler, Walter. (1992). On the existence of fixpoints of composite meromorphic functions. Proceedings of the American Mathematical Society. 114(3). 879–880. 3 indexed citations
19.
Bergweiler, Walter. (1992). On the Existence of Fixpoints of Composite Meromorphic Functions. Proceedings of the American Mathematical Society. 114(3). 879–879. 1 indexed citations
20.
Bergweiler, Walter. (1990). Fix-points of meromorphic functions and iterated entire functions. Journal of Mathematical Analysis and Applications. 151(1). 261–274. 2 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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