Dierk Schleicher

1.7k total citations
52 papers, 638 citations indexed

About

Dierk Schleicher is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Dierk Schleicher has authored 52 papers receiving a total of 638 indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Mathematical Physics, 22 papers in Geometry and Topology and 11 papers in Applied Mathematics. Recurrent topics in Dierk Schleicher's work include Mathematical Dynamics and Fractals (28 papers), Advanced Differential Equations and Dynamical Systems (9 papers) and Meromorphic and Entire Functions (8 papers). Dierk Schleicher is often cited by papers focused on Mathematical Dynamics and Fractals (28 papers), Advanced Differential Equations and Dynamical Systems (9 papers) and Meromorphic and Entire Functions (8 papers). Dierk Schleicher collaborates with scholars based in Germany, France and United States. Dierk Schleicher's co-authors include Johannes Zimmer, John H. Hubbard, Lasse Rempe, Markus P. Müller, Sebastian Mayer, Roy S. Berns, Johannes Rückert, Mitchell R. Rosen, Philipp Urban and Mitsuhiro Shishikura and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Journal of the Optical Society of America A.

In The Last Decade

Dierk Schleicher

46 papers receiving 581 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Dierk Schleicher Germany 15 383 298 184 128 116 52 638
Curt McMullen United States 10 701 1.8× 471 1.6× 238 1.3× 151 1.2× 127 1.1× 12 864
Boris Shapiro Sweden 13 162 0.4× 292 1.0× 182 1.0× 86 0.7× 183 1.6× 99 596
Werner Balser Germany 13 166 0.4× 313 1.1× 368 2.0× 249 1.9× 266 2.3× 58 881
Rafael Obaya Spain 15 235 0.6× 137 0.5× 265 1.4× 272 2.1× 121 1.0× 84 754
Sergei M. Grudsky Mexico 15 354 0.9× 117 0.4× 510 2.8× 112 0.9× 424 3.7× 75 941
M. Burak Erdoğan United States 15 487 1.3× 67 0.2× 221 1.2× 192 1.5× 38 0.3× 55 663
D. V. Anosov Russia 13 644 1.7× 436 1.5× 219 1.2× 391 3.1× 98 0.8× 42 944
Yu. M. Berezansky Ukraine 10 230 0.6× 45 0.2× 183 1.0× 80 0.6× 97 0.8× 26 537
Yuri Latushkin United States 18 559 1.5× 128 0.4× 652 3.5× 276 2.2× 473 4.1× 75 1.3k
Andreas Kriegl Austria 14 530 1.4× 361 1.2× 324 1.8× 126 1.0× 100 0.9× 30 833

Countries citing papers authored by Dierk Schleicher

Since Specialization
Citations

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

Fields of papers citing papers by Dierk Schleicher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dierk Schleicher

This figure shows the co-authorship network connecting the top 25 collaborators of Dierk Schleicher. A scholar is included among the top collaborators of Dierk Schleicher 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 Dierk Schleicher. Dierk Schleicher 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.
Schleicher, Dierk, et al.. (2023). Newton’s method in practice, II: The iterated refinement Newton method and near-optimal complexity for finding all roots of some polynomials of very large degrees. Journal of Computational and Applied Mathematics. 437. 115427–115427. 2 indexed citations
2.
Schleicher, Dierk. (2023). On the efficient global dynamics of Newton’s method for complex polynomials. Nonlinearity. 36(2). 1349–1377. 2 indexed citations
3.
Schleicher, Dierk, et al.. (2022). The Weierstrass–Durand–Kerner root finder is not generally convergent. Mathematics of Computation. 92(340). 839–866. 5 indexed citations
4.
Schleicher, Dierk, et al.. (2019). The DPRM Theorem in Isabelle (Short Paper). DROPS (Schloss Dagstuhl – Leibniz Center for Informatics). 3 indexed citations
5.
Schleicher, Dierk. (2013). Interview with John Horton Conway. Notices of the American Mathematical Society. 60(5). 567–567. 3 indexed citations
6.
Schleicher, Dierk, et al.. (2011). An Invitation to mathematics : from competitions to research. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 4 indexed citations
7.
Schleicher, Dierk, et al.. (2011). Homeomorphisms between limbs of the Mandelbrot set. Proceedings of the American Mathematical Society. 140(6). 1947–1956. 4 indexed citations
8.
Rempe, Lasse, et al.. (2011). Dynamic rays of bounded-type entire functions. Annals of Mathematics. 173(1). 77–125. 44 indexed citations
9.
Abate, Marco, Eric Bedford, Marco Brunella, et al.. (2010). Holomorphic dynamical systems : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 7-12, 2008. Springer eBooks. 1 indexed citations
10.
Hubbard, John H., Dierk Schleicher, & Mitsuhiro Shishikura. (2008). Exponential Thurston maps and limits of quadratic differentials. Journal of the American Mathematical Society. 22(1). 77–117. 13 indexed citations
11.
Schleicher, Dierk, et al.. (2006). A Combinatorial Classification of Postsingularly Preperiodic Complex Exponential Maps. arXiv (Cornell University). 2 indexed citations
12.
Schleicher, Dierk, et al.. (2005). Virtual and Immediate Basins for Newton Maps of Entire Functions. arXiv (Cornell University). 1 indexed citations
13.
Müller, Markus P. & Dierk Schleicher. (2004). How to add a non-integer number of terms, and how to produce unusual infinite summations. Journal of Computational and Applied Mathematics. 178(1-2). 347–360. 11 indexed citations
14.
Schleicher, Dierk. (2003). ATTRACTING DYNAMICS OF EXPONENTIAL MAPS. 28(1). 3–34. 17 indexed citations
15.
Schleicher, Dierk & Johannes Zimmer. (2003). Periodic Points and Dynamic Rays of Exponential Maps. Annales Academiae Scientiarum Fennicae Mathematica. 28(2). 327–354. 22 indexed citations
16.
Schleicher, Dierk & Johannes Zimmer. (2003). ESCAPING POINTS OF EXPONENTIAL MAPS. Journal of the London Mathematical Society. 67(2). 380–400. 49 indexed citations
17.
Schleicher, Dierk. (2002). On the number of iterations of Newton's method for complex polynomials. Ergodic Theory and Dynamical Systems. 22(3). 935–945. 15 indexed citations
18.
Schleicher, Dierk, et al.. (1999). The 3n+l-Problem and Holomorphic Dynamics. Experimental Mathematics. 8(3). 241–251. 7 indexed citations
19.
Schleicher, Dierk, et al.. (1999). On biaccessible points in the Julia set of a Cremer quadratic polynomial. Proceedings of the American Mathematical Society. 128(3). 933–937. 8 indexed citations
20.
Schleicher, Dierk, et al.. (1994). Internal addresses in the Mandelbrot set and irreducibility of polynomials. 169(3-4). 205–8. 39 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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