南方科技大学知识苑(SUSTech KC): Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms

题名	Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms
作者	Carvalho, B.1; Rego, E.2
通讯作者	Carvalho, B.
发表日期	2024-09-02
DOI	10.1088/1361-6544/ad6056
发表期刊	NONLINEARITY 影响因子和分区
ISSN	0951-7715
EISSN	1361-6544
卷号	37 期号:9
摘要	We discuss different regularities on stable/unstable holonomies of cw-hyperbolic homeomorphisms and prove that if a cw-hyperbolic homeomorphism has continuous joint stable/unstable holonomies, then it has a dense set of periodic points in its non-wandering set. For that, we prove that the hyperbolic cw-metric (introduced in Artigue et al (2024 J. Differ. Equ. 378 512-38)) can be adapted to be self-similar (as in Artigue (2018 Ergodic Theory Dyn. Syst. 38 2422-46)) and, in this case, continuous joint stable/unstable holonomies are pseudo-isometric. We also prove transitivity of cw-hyperbolic homeomorphisms assuming that the stable/unstable holonomies are isometric. In the case the ambient space is a surface, we prove that a cw F -hyperbolic homeomorphism has continuous joint stable/unstable holonomies when every bi-asymptotic sector is regular.
关键词	cw-hyperbolicity periodic points transitivity
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	Progetto di Eccellenza MatMod@TOV[PRIN 2017S35EHN] ; CNPq[405916/2018-3] ; Fapemig[APQ-00036-22] ; NSFC[12250710130]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:001270358300001
出版者	IOP Publishing Ltd
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：1
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/789931
专题	理学院_数学系
作者单位	1.Univ Roma Tor Vergata, Dipartimento Matemat, Via Cracovia 50, I-00133 Rome, RM, Italy 2.Southern Univ Sci & Technol, Dept Math, Xueyuan Blvd 1088, Shenzhen, Guangdong, Peoples R China
推荐引用方式 GB/T 7714	Carvalho, B.,Rego, E.. Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms[J]. NONLINEARITY,2024,37(9).
APA	Carvalho, B.,&Rego, E..(2024).Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms.NONLINEARITY,37(9).
MLA	Carvalho, B.,et al."Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms".NONLINEARITY 37.9(2024).