5 papers
On the Julia sets of the non-autonomous iteration of exponential maps
Jiaxing Huang, Xiao Yao
This paper studies non-autonomous iterations of , where at each step the parameter is chosen from a bounded interval. Urbański and Zdunik introduced and developed a therm…
Non-analyticity of hairs of exponential maps
Weiwei Cui, Jiaxing Huang, Lingrui Wang
Let , where . 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^{…
Dynamical (non-)recurrence of escaping exponential maps
Weiwei Cui, Jiaxing Huang, Jun Wang
We show that exponential maps could have complicated measurable behaviours by giving two examples in the exponential family both with singular value escaping to infinity ``slowly",…
The limit set of iterations of entire functions on wandering domains
Jiaxing Huang, Jian-Hua Zheng
We first establish any continuum without interiors can be a limit set of iterations of an entire function on an oscillating wandering domain, and hence arise as a component of Juli…
Connectivity of Fatou Components of Meromorphic Functions
Jiaxing Huang, Chengfa Wu, Jian-Hua Zheng
In this paper, we show that there exist transcendental meromorphic functions with a cycle of 2-periodic Fatou components, where one is simply connected while the other is doubly co…