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Ergodic Properties and Julia Sets of Weierstrass Elliptic Functions
- Source :
- Monatshefte für Mathematik; November 2002, Vol. 137 Issue: 4 p273-300, 28p
- Publication Year :
- 2002
-
Abstract
- We discuss properties of the Julia and Fatou sets of Weierstrass elliptic ℘ functions arising from real lattices. We give sufficient conditions for the Julia sets to be the whole sphere and for the maps to be ergodic, exact, and conservative. We also give examples for which the Julia set is not the whole sphere.
Details
- Language :
- English
- ISSN :
- 00269255 and 14365081
- Volume :
- 137
- Issue :
- 4
- Database :
- Supplemental Index
- Journal :
- Monatshefte für Mathematik
- Publication Type :
- Periodical
- Accession number :
- ejs4001730
- Full Text :
- https://doi.org/10.1007/s00605-002-0504-1