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ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS.
- Source :
-
Journal of the Australian Mathematical Society . Dec2011, Vol. 91 Issue 3, p289-311. 23p. - Publication Year :
- 2011
-
Abstract
- We investigate when the boundary of a multiply connected wandering domain of an entire function is uniformly perfect. We give a general criterion implying that it is not uniformly perfect. This criterion applies in particular to examples of multiply connected wandering domains given by Baker. We also provide examples of infinitely connected wandering domains whose boundary is uniformly perfect. [ABSTRACT FROM PUBLISHER]
- Subjects :
- *FATOU sets
*NUMERICAL analysis
*JULIA sets
*FRACTALS
*BOUNDARY element methods
Subjects
Details
- Language :
- English
- ISSN :
- 14467887
- Volume :
- 91
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 73961559
- Full Text :
- https://doi.org/10.1017/S1446788711001509