摘要
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.
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
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
