Mariusz Urbański

6.2k total citations
206 papers, 3.0k citations indexed

About

Mariusz Urbański is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Mariusz Urbański has authored 206 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 174 papers in Mathematical Physics, 75 papers in Geometry and Topology and 62 papers in Applied Mathematics. Recurrent topics in Mariusz Urbański's work include Mathematical Dynamics and Fractals (169 papers), Meromorphic and Entire Functions (34 papers) and Quantum chaos and dynamical systems (31 papers). Mariusz Urbański is often cited by papers focused on Mathematical Dynamics and Fractals (169 papers), Meromorphic and Entire Functions (34 papers) and Quantum chaos and dynamical systems (31 papers). Mariusz Urbański collaborates with scholars based in United States, Poland and United Kingdom. Mariusz Urbański's co-authors include R. Daniel Mauldin, Feliks Przytycki, Manfred Denker, Manfred Denker, Anna Zdunik, Jon Aaronson, Janina Kotus, Volker Mayer, Bernd O. Stratmann and Hiroki Sumi and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Mariusz Urbański

194 papers receiving 2.7k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mariusz Urbański United States 29 2.8k 1.1k 1.0k 681 370 206 3.0k
R. Daniel Mauldin United States 27 2.2k 0.8× 965 0.8× 542 0.5× 504 0.7× 623 1.7× 130 2.9k
Boris Solomyak United States 23 1.4k 0.5× 354 0.3× 313 0.3× 166 0.2× 728 2.0× 80 1.8k
Eli Glasner Israel 23 1.6k 0.6× 1.1k 1.0× 380 0.4× 147 0.2× 462 1.2× 67 1.8k
Louis Block United States 17 1.2k 0.4× 578 0.5× 613 0.6× 131 0.2× 224 0.6× 64 1.4k
Lifeng Xi China 21 688 0.2× 571 0.5× 625 0.6× 92 0.1× 573 1.5× 161 1.4k
Steven P. Lalley United States 19 765 0.3× 204 0.2× 170 0.2× 82 0.1× 107 0.3× 72 1.0k
John H. Elton United States 15 714 0.3× 89 0.1× 294 0.3× 131 0.2× 95 0.3× 23 964
Weiyi Su China 17 359 0.1× 295 0.3× 550 0.5× 73 0.1× 255 0.7× 90 890
Thomas Ward United Kingdom 17 844 0.3× 601 0.5× 233 0.2× 90 0.1× 316 0.9× 81 1.3k
Wolfgang Woess Austria 23 1.3k 0.5× 989 0.9× 159 0.2× 278 0.4× 657 1.8× 89 1.9k

Countries citing papers authored by Mariusz Urbański

Since Specialization
Citations

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

Fields of papers citing papers by Mariusz Urbański

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mariusz Urbański

This figure shows the co-authorship network connecting the top 25 collaborators of Mariusz Urbański. A scholar is included among the top collaborators of Mariusz Urbański 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 Mariusz Urbański. Mariusz Urbański 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.
Sumi, Hiroki, et al.. (2025). The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups. Memoirs of the American Mathematical Society. 307(1552).
2.
Kotus, Janina & Mariusz Urbański. (2023). Meromorphic Dynamics. Cambridge University Press eBooks.
3.
Zenker, Frank, Jan Albert van Laar, Bianca Cepollaro, et al.. (2023). Norms of Public Argumentation and the Ideals of Correctness and Participation. Argumentation. 38(1). 7–40. 8 indexed citations
4.
Mayer, Volker & Mariusz Urbański. (2019). Thermodynamic formalism and integral means spectrum of logarithmic tracts for transcendental entire functions. Transactions of the American Mathematical Society. 373(11). 7669–7711. 1 indexed citations
5.
Rempe, Lasse & Mariusz Urbański. (2015). Non-autonomous conformal iterated function systems and Moran-set constructions. Transactions of the American Mathematical Society. 368(3). 1979–2017. 19 indexed citations
6.
Fishman, Lior, et al.. (2015). Extremality and dynamically defined measures, part I. arXiv (Cornell University). 1 indexed citations
7.
Fishman, Lior, et al.. (2015). SHRINKING TARGETS FOR NONAUTONOMOUS DYNAMICAL SYSTEMS CORRESPONDING TO CANTOR SERIES EXPANSIONS. Bulletin of the Australian Mathematical Society. 92(2). 205–213. 6 indexed citations
8.
Urbański, Mariusz, et al.. (2011). Real analyticity of Hausdorff dimension of Julia sets of parabolic polynomials fλ(z) = z(1 − z − λz2). Illinois Journal of Mathematics. 55(1). 157–184. 2 indexed citations
9.
Urbański, Mariusz. (2009). Geometric rigidity for class $\mathcal {S}$ of transcendental meromorphic functions whose Julia sets are Jordan curves. Proceedings of the American Mathematical Society. 137(11). 3733–3733.
10.
Urbański, Mariusz, et al.. (2008). Inverse Pressure Estimates and the Independence of Stable Dimension for Non-Invertible Maps. Canadian Journal of Mathematics. 60(3). 658–684. 16 indexed citations
11.
Mayer, Volker, et al.. (2008). Random Distance Expanding Mappings, Thermodynamic Formalism, Gibbs Measures, and Fractal Geometry. arXiv (Cornell University). 6 indexed citations
12.
Sumi, Hiroki, et al.. (2008). Analytic families of holomorphic IFS. arXiv (Cornell University). 2 indexed citations
13.
Urbański, Mariusz & Michel Zinsmeister. (2001). Continuity of Hausdorff dimension of Julia-Lavaurs sets as a function of the phase. Conformal Geometry and Dynamics of the American Mathematical Society. 5(7). 140–152. 7 indexed citations
14.
Mauldin, R. Daniel, Feliks Przytycki, & Mariusz Urbański. (2001). Rigidity of Conformal Iterated Function Systems. Compositio Mathematica. 129(3). 273–299. 7 indexed citations
15.
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
16.
Urbański, Mariusz. (1996). Parabolic Cantor sets. Fundamenta Mathematicae. 151(3). 241–277. 33 indexed citations
17.
Hofbauer, Franz & Mariusz Urbański. (1994). Fractal Properties of Invariant Subsets for Piecewise Monotonic Maps on the Interval. Transactions of the American Mathematical Society. 343(2). 659–659. 2 indexed citations
18.
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
19.
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
20.
Urbański, Mariusz, et al.. (1993). Complex Continued Fractions With Restricted Entries. SHILAP Revista de lepidopterología. 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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