Non-analyticity of hairs of exponential maps

Weiwei Cui, Jiaxing Huang, Lingrui Wang

Let $f_{\lambda }(z)=\lambda e^z$, where $0<\lambda <1/e$. In 1984, Devaney and Krych showed that the Julia set consists of pairwise disjoint hairs. Viana further in 1988 proved that these hairs are $C^{…