Based on the distortion theory developed by Cui and Tan (2015), we prove the landing of every parameter ray at critical portraits coming from non-recurrent polynomials, thereby generalizing a result of Kiwi (2005).
Abstract In this paper, we consider the dynamics of the map z →＊ exp（z）/z on the punctured plane C＊ = C／{0}. We show that for almost every point z∈C＊, the w-limit set of z is equal to {0, ∞}. In particular, t...Abstract In this paper, we consider the dynamics of the map z →＊ exp（z）/z on the punctured plane C＊ = C／{0}. We show that for almost every point z∈C＊, the w-limit set of z is equal to {0, ∞}. In particular, the map is not recurrent.展开更多
We prove that wandering components of the Julia set of a polynomial are singletons provided each critical point in a wandering Julia component is non-recurrent. This means a conjecture of Branner-Hubbard is true for t...We prove that wandering components of the Julia set of a polynomial are singletons provided each critical point in a wandering Julia component is non-recurrent. This means a conjecture of Branner-Hubbard is true for this kind of polynomials.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos. 11501383 and 11471317)China Scholarship Council for Supports
文摘Based on the distortion theory developed by Cui and Tan (2015), we prove the landing of every parameter ray at critical portraits coming from non-recurrent polynomials, thereby generalizing a result of Kiwi (2005).
基金Supported by National Natural Science Foundation of China(Grant No.10871089)
文摘Abstract In this paper, we consider the dynamics of the map z →＊ exp（z）/z on the punctured plane C＊ = C／{0}. We show that for almost every point z∈C＊, the w-limit set of z is equal to {0, ∞}. In particular, the map is not recurrent.
基金The work was done during the author's visit to Morningside Mathematical Centre ofChinese Academy of Sciences. He thanks all members in the seminar on complex dynamics at Beijing and referees for some corrections and language comments. This work was par
文摘We prove that wandering components of the Julia set of a polynomial are singletons provided each critical point in a wandering Julia component is non-recurrent. This means a conjecture of Branner-Hubbard is true for this kind of polynomials.
