Julia sets of expanding polymodials
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 c...
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Published in | Ergodic theory and dynamical systems Vol. 25; no. 6; pp. 1691 - 1718 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Cambridge, UK
Cambridge University Press
01.12.2005
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Online Access | Get full text |
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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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Bibliography: | PII:S0143385705000210 istex:2503A61BE2E70565727CC3929CCAABBC6A144B50 ark:/67375/6GQ-H0DQ1HPF-M |
ISSN: | 0143-3857 1469-4417 |
DOI: | 10.1017/S0143385705000210 |