World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
6814
World Ranking
2181
National Ranking
920

Overview

Mariusz Urbański is affiliated with the University of North Texas in the United States and specializes primarily in the field of Mathematics. Their research spans several subfields including Mathematical Physics, Geometry and Topology, Applied Mathematics, Statistical and Nonlinear Physics, and Computational Theory and Mathematics.

The key topics addressed in their work encompass Mathematical Dynamics and Fractals, Analytic and Geometric Function Theory, Meromorphic and Entire Functions, Geometric Analysis and Curvature Flows, Advanced Topology and Set Theory, Quantum Chaos and Dynamical Systems, and Advanced Mathematical Theories and Applications.

The most frequent co-authors collaborating with Mariusz Urbański include Janina Kotus, Volker Mayer, Tushar Das, Lior Fishman, and Łukasz Pawelec.

Their scholarly output appears in a range of publication venues. The most common venues include arXiv (Cornell University), Memoirs of the American Mathematical Society, Nonlinearity, Mathematische Annalen, and Zeszyty Naukowe Politechniki Częstochowskiej Zarządzanie.

The scientist has contributed notable papers such as:

  • A variational principle in the parametric geometry of numbers (2023) published in Advances in Mathematics
  • Find Out A New Method to Study Abductive Reasoning in Empirical Research (2020) published in International Journal of Qualitative Methods
  • Norms of Public Argumentation and the Ideals of Correctness and Participation (2023) published in Argumentation
  • Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems (2020) published in Ergodic Theory and Dynamical Systems
  • Conformal Graph Directed Markov Systems on Carnot Groups (2020) published in Memoirs of the American Mathematical Society

In addition to articles, Mariusz Urbański has published books through Cambridge University Press, including two editions titled Meromorphic Dynamics released in 2023.

Best Publications

  • Dimensions and Measures in Infinite Iterated Function Systems

    R. Daniel Mauldin;Mariusz Urbański

  • Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets

    R. Daniel Mauldin;Mariusz Urbanski

  • Conformal Fractals: Ergodic Theory Methods

    Feliks Przytycki;Mariusz Urbański

  • Ergodic theory for Markov fibred systems and parabolic rational maps

    Jon Aaronson;Manfred Denker;Mariusz Urbański;Mariusz Urbański

  • On the Hausdorff dimension of some fractal sets

    Unknown

  • Gibbs states on the symbolic space over an infinite alphabet

    R. Daniel Mauldin;Mariusz Urbański

  • On the existence of conformal measures

    Manfred Denker;Mariusz Urbański;Mariusz Urbański

  • Conformal iterated function systems with applications to the geometry of continued fractions

    R. Mauldin;Mariusz Urbański

  • Ergodic theory of equilibrium states for rational maps

    M Denker;M Urbanski

  • Thermodynamic Formalism and Multifractal Analysis of Conformal Infinite Iterated Function Systems

    Pawel Hanus;R. Daniel Mauldin;Mariusz Urbański

  • On the transfer operator for rational functions on the Riemann sphere

    Manfred Denker;Feliks Przytycki;Mariusz Urbański

  • Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, I

    Feliks Przytycki;Mariusz Urbanski;Anna Zdunik

  • Measures and dimensions in conformal dynamics

    Mariusz Urbański

  • Hausdorff and Conformal Measures on Julia Sets with a Rationally Indifferent Periodic Point

    M. Denker;M. Urbański

  • The finer geometry and dynamics of the hyperbolic exponential family

    Mariusz Urbański;Anna Zdunik

  • Parabolic Cantor sets

    Mariusz Urbański

  • Zero Temperature Limits of Gibbs-Equilibrium States for Countable Alphabet Subshifts of Finite Type

    O. Jenkinson;R. D. Mauldin;M. Urbański

  • On Sullivan's conformal measures for rational maps of the Riemann sphere

    M Denker;M Urbanski

  • Rational functions with no recurrent critical points

    Mariusz Urbański

  • Real analyticity of Hausdorff dimension of finer Julia sets of exponential family

    M. Urbanski

  • Graph Directed Markov Systems: Geometric measure theory

    R. Daniel Mauldin;Mariusz Urbanski

  • Graph Directed Markov Systems: Hölder Families of Functions and F -Conformal Measures

    R. Daniel Mauldin;Mariusz Urbanski

Frequent Co-Authors

Mark Pollicott
Mark Pollicott University of Warwick
Boris Solomyak
Boris Solomyak Bar-Ilan University
Gerhard Keller
Gerhard Keller University of Erlangen-Nuremberg
Alexander Volberg
Alexander Volberg Michigan State University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring related online degrees can broaden career opportunities and provide valuable interdisciplinary skills. Many graduate programs combine mathematical expertise with business acumen, such as pursuing a 1 year MBA, which offers a fast track to leadership roles without compromising depth in quantitative analysis.

Flexibility is crucial for working professionals, and programs like the online MBA accepting transfer credits allow learners to leverage prior coursework, easing the path to degree completion while deepening management skills relevant to fields like financial modeling or data-driven decision making.

Additionally, Mathematics graduates often find a natural fit in data science disciplines. A masters data analytics degree can amplify a mathematician’s ability to interpret complex datasets and contribute to sectors like technology, healthcare, or finance.

For those seeking a more accessible entry into business education, options like the easiest MBA programs provide alternative pathways that balance affordability and admission requirements while still offering valuable credentials to supplement a math background.

Best Scientists Citing Mariusz Urbański

Trending Scientists

Recently Published Articles