Hausdorff dimension and conformal dynamics II: Geometrically finite rational maps
By Curtis T. McMullen. 2000
125 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7515c713a91d52df159ba4811f85fa6ab798bd13
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Juan Rivera-Letelier
- F. Przytycki
- Franccois Berteloot
- Artur Avila
- M. Lyubich
- Lasse Rempe
- David Damanik
- Jiangong You
In Geometry and Topology
- F. Przytycki
- Juan Rivera-Letelier
- M. Lyubich
- Franccois Berteloot
- Artur Avila
- Lasse Rempe
- Jiagang Yang
- A. Zorich
In Mathematical Physics
- F. Przytycki
- Juan Rivera-Letelier
- Artur Avila
- M. Lyubich
- Franccois Berteloot
- Lasse Rempe
- David Damanik
- A. Zorich
Citations in the corpus
- Statistical properties of topological Collet–Eckmann maps (2006, background): “In [11,30] it is shown that α(f) = HD(Jcon(f)) (see also [25]), so by the inclusion J(F )⊂ Jcon(f), we have”
- Bifurcation Currents in Holomorphic Families of Rational Maps (2012, methodology): “At the end of this decade, McMullen used MañéSad-Sullivan ideas and Thurston’s theory in his fundamental work on iterative rootfinding algorithms [44].”
- Hausdorff dimension and conformal measures of Feigenbaum Julia sets (2004, methodology): “The first examples of rational Julia sets with Hausdorff dimension two were constructed by Shishikura [Sh1] (see also [ Mc5 ]).”