Mariusz Urba'nski

Geometry and Topology · 2000–2014

A researcher in the Science corpus: 14 papers; trusts 10 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 48 citations into it; #3,925 of 7,422 by trust here, #1,803 by citations
• Mathematical Physics — 46 citations into it; #1,375 of 8,562 by trust here, #1,130 by citations
• Applied Mathematics — 18 citations into it
• Discrete Mathematics and Combinatorics — 6 citations into it

Whom Mariusz Urba'nski trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Curtis T. McMullen
2. R. Daniel Mauldin
3. Jérôme Dedecker
4. Dmitry Kleinbock
5. F. Przytycki
6. Károly Simon

Who trusts Mariusz Urba'nski overall

1. V. Mayer
2. F. Przytycki
3. O. Sarig
4. Juan Rivera-Letelier
5. Marc Kessebohmer
6. Lasse Rempe
7. A. Fan
8. Luís Barreira
9. Krzysztof Bara'nski
10. Bernd Stratmann

Papers from Mariusz Urba'nski's perspective

Ordered by how strongly the researchers Mariusz Urba'nski trusts endorse each paper. Same corpus, a different order for every researcher.

1. Badly approximable vectors on fractals
2. Winning Sets, Quasiconformal Maps and Diophantine Approximation
3. Train tracks and the geometry of the complex of curves
4. The free splitting complex of a free group I: Hyperbolicity
5. Convergence of Probability Measures
6. Measure Theoretic Laws for Lim Sup Sets
7. Embeddings of Gromov Hyperbolic Spaces
8. Gromov hyperbolic spaces
9. Hausdorff dimension of limit sets for parabolic ifs with overlaps
10. Conformal Dimension: Theory and Application

Their papers

• Gibbs states on the symbolic space over an infinite alphabet (2001) — 171 citations
• Geometry and Dynamics in Gromov Hyperbolic Metric Spaces: With an Emphasis on Non-proper Settings (2014) — 56 citations
• Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces (2013) — 53 citations
• Non-autonomous conformal iterated function systems and Moran-set constructions (2012) — 60 citations
• Conformal Fractals: Ergodic Theory Methods (2010) — 296 citations
• Geometric thermodynamic formalism and real analyticity for meromorphic functions of finite order (2006) — 47 citations
• Real analyticity of Hausdorff dimension of finer Julia sets of exponential family (2004) — 59 citations
• Graph Directed Markov Systems: Hölder Families of Functions and F -Conformal Measures (2003) — 344 citations
• The finer geometry and dynamics of the hyperbolic exponential family (2003) — 61 citations
• Measures and dimensions in conformal dynamics (2003) — 72 citations
• Thermodynamic Formalism and Multifractal Analysis of Conformal Infinite Iterated Function Systems (2002) — 109 citations
• Invariant measures for parabolic IFS with overlaps and random continued fractions (2001) — 73 citations
• Hausdorff dimension of limit sets for parabolic ifs with overlaps (2001) — 55 citations
• Parabolic iterated function systems (2000) — 74 citations