Julia sets of expanding polymodials
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| Title: | Julia sets of expanding polymodials |
|---|---|
| Authors: | Alexander Blokh, Chris Cleveland, Michał Misiurewicz |
| Source: | Ergodic Theory and Dynamical Systems. 25:1691-1718 |
| Publisher Information: | Cambridge University Press (CUP), 2005. |
| Publication Year: | 2005 |
| Subject Terms: | Dynamical systems involving maps of the interval, Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Julia set, Hausdorff dimension, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, covering maps of the plane, 01 natural sciences, expanding interval maps, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets |
| Description: | Summary: We continue studying branched covering maps of the plane with expanding properties, which we call expanding polymodials. They are analogous to piecewise expanding interval maps and have properties similar to those of complex polynomials (in particular, the Julia set and a lot of other notions from complex dynamics can be defined for expanding polymodials). In this paper we include the case when the Julia set is disconnected, study its topological properties and its Hausdorff dimension. |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 1469-4417 0143-3857 |
| DOI: | 10.1017/s0143385705000210 |
| Access URL: | https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/julia-sets-of-expanding-polymodials/C694A2CEA69335358A04DB8A30667640 https://documat.unirioja.es/servlet/articulo?codigo=1345038 https://dialnet.unirioja.es/servlet/articulo?codigo=1345038 |
| Rights: | Cambridge Core User Agreement |
| Accession Number: | edsair.doi.dedup.....ea33a9e3da5140d89f3efa3fd06cc55c |
| Database: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | Summary: We continue studying branched covering maps of the plane with expanding properties, which we call expanding polymodials. They are analogous to piecewise expanding interval maps and have properties similar to those of complex polynomials (in particular, the Julia set and a lot of other notions from complex dynamics can be defined for expanding polymodials). In this paper we include the case when the Julia set is disconnected, study its topological properties and its Hausdorff dimension. |
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| ISSN: | 14694417 01433857 |
| DOI: | 10.1017/s0143385705000210 |