Article contents
On the differentiability of hairs for Zorich maps
Published online by Cambridge University Press: 07 November 2017
Abstract
Devaney and Krych showed that, for the exponential family $\unicode[STIX]{x1D706}e^{z}$, where $0\,<\,\unicode[STIX]{x1D706}\,<\,1/e$, the Julia set consists of uncountably many pairwise disjoint simple curves tending to $\infty$. Viana proved that these curves are smooth. In this article, we consider quasiregular counterparts of the exponential map, the so-called Zorich maps, and generalize Viana’s result to these maps.
- Type
- Original Article
- Information
- Copyright
- © Cambridge University Press, 2017
References
- 3
- Cited by