Dynamics of Commuting Rational Maps on Berkovich Projective Space over C_p

CSpace

	Dynamics of Commuting Rational Maps on Berkovich Projective Space over C_p
其他题名	Dynamics of Commuting Rational Maps on Berkovich Projective Space over C_p
	Fan Shi Lei; Wang Yue Fei
	2013
发表期刊	数学学报(英文版)
ISSN	1439-8516
页码	1459-1478
其他摘要	We study the dynamics of commuting rational maps with coefficients in Cp. By lifting the dynamics from P1(Cp) to Berkovich projective space P1 Berk, we prove that two nonlinear commuting maps have the same Berkovich Julia set and the same canonical measure. As a consequence, two nonlinear commuting maps with coefficient in Cp have the same classical Julia set. We also prove that they have the same pre-periodic Berkovich Fatou components.
收录类别	CSCD
语种	中文
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:4878060
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57256
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Fan Shi Lei,Wang Yue Fei. Dynamics of Commuting Rational Maps on Berkovich Projective Space over C_p[J]. 数学学报(英文版),2013:1459-1478.
APA	Fan Shi Lei,&Wang Yue Fei.(2013).Dynamics of Commuting Rational Maps on Berkovich Projective Space over C_p.数学学报(英文版),1459-1478.
MLA	Fan Shi Lei,et al."Dynamics of Commuting Rational Maps on Berkovich Projective Space over C_p".数学学报(英文版) (2013):1459-1478.