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	Asymptotic h-expansiveness rate of C-infinity maps
	Burguet, David ; Liao, Gang ; Yang, Jiagang
	2015
关键词	SMOOTH INTERVAL MAPS SYMBOLIC EXTENSIONS DYNAMICAL-SYSTEMS HOMOCLINIC TANGENCIES INTRINSIC ERGODICITY TOPOLOGICAL-ENTROPY MAXIMAL ENTROPY VOLUME GROWTH MAPPINGS DIFFEOMORPHISMS
英文摘要	We study the rate of convergence to zero of the tail entropy of C-infinity maps. We give an upper bound of this rate in terms of the growth in k of the derivative of order k and give examples showing the optimality of the established rate of convergence. We also consider the case of multimodal maps of the interval. Finally, we prove that homoclinic tangencies give rise to C-r (r >= 2) robustly non-h-expansive dynamical systems.; CNPq; CPSF [2014M560007]; FAPERJ; SCI(E); ARTICLE; david.burguet@upmc.fr; liaogang@math.pku.edu.cn; yangjg@impa.br; 381-419; 111
语种	英语
出处	SCI
出版者	PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/417713]
专题	数学科学学院
推荐引用方式 GB/T 7714	Burguet, David,Liao, Gang,Yang, Jiagang. Asymptotic h-expansiveness rate of C-infinity maps. 2015-01-01.

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