Topological invariance of generic non-uniformly expanding multimodal maps

CSpace > 应用数学研究所

	Topological invariance of generic non-uniformly expanding multimodal maps
	Luzzatto, S ; Wang, LY
	2006-03-01
发表期刊	MATHEMATICAL RESEARCH LETTERS
ISSN	1073-2780
卷号	13 期号:2-3 页码:343-357
摘要	We introduce a Topological Slow Recurrence condition on the orbits of critical points of multimodal maps and show that this condition is equivalent to the simultaneous occurrence of metric Slow Recurrence and Collet-Eckmann conditions. In particular, if f is non-uniformly expanding and the critical points are generic with respect to the absolutely continuous invariant measures, then any map g topologically conjugate to f is also non-uniformly expanding.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000238686300014
出版者	INT PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3591
专题	应用数学研究所
通讯作者	Luzzatto, S
作者单位	1.Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Luzzatto, S,Wang, LY. Topological invariance of generic non-uniformly expanding multimodal maps[J]. MATHEMATICAL RESEARCH LETTERS,2006,13(2-3):343-357.
APA	Luzzatto, S,&Wang, LY.(2006).Topological invariance of generic non-uniformly expanding multimodal maps.MATHEMATICAL RESEARCH LETTERS,13(2-3),343-357.
MLA	Luzzatto, S,et al."Topological invariance of generic non-uniformly expanding multimodal maps".MATHEMATICAL RESEARCH LETTERS 13.2-3(2006):343-357.