Treffer: Julia sets of expanding polymodials
Title:
Julia sets of expanding polymodials
Authors:
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
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
1469-4417
0143-3857
0143-3857
DOI:
10.1017/s0143385705000210
Access URL:
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....ea33a9e3da5140d89f3efa3fd06cc55c
Database:
OpenAIRE
Weitere Informationen
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.