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Quasisymmetric geometry of the Julia sets of McMullen maps
- Source :
- Science China Mathematics. 61:2283-2298
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- We study the quasisymmetric geometry of the Julia sets of McMullen maps $f_\lambda(z)=z^m+\lambda/z^\ell$, where $\ell$, $m\geq 2$ are integers satisfying $1/\ell+1/m<br />Comment: 18 pages, 3 figures
- Subjects :
- Mathematics::Dynamical Systems
Mathematics - Complex Variables
Mathematics::Complex Variables
General Mathematics
media_common.quotation_subject
010102 general mathematics
Mathematics::General Topology
Geometry
Dynamical Systems (math.DS)
Infinity
01 natural sciences
Julia set
010101 applied mathematics
Cantor set
Sierpinski carpet
FOS: Mathematics
Primary: 37F45, Secondary: 37F10, 37F25
Mathematics::Metric Geometry
Mathematics - Dynamical Systems
Complex Variables (math.CV)
0101 mathematics
media_common
Mathematics
Subjects
Details
- ISSN :
- 18691862 and 16747283
- Volume :
- 61
- Database :
- OpenAIRE
- Journal :
- Science China Mathematics
- Accession number :
- edsair.doi.dedup.....09e8ae8738309d1e372bc267e6fd5b3e