On R-robustly entropy-expansive diffeomorphisms
type: Item
instance of: scholarly article
title: On R-robustly entropy-expansive diffeomorphisms
zbMATH Open document ID: 1281.37010
author: Xiaolong Li
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2013-02-14T00:00:00Z
review text: The author introduces the notion of ``\(R\)-robustly entropy-expansiveness'' in order to reduce the hypothesis of robust entropy-expansiveness. The goal of this reduction consists in the requirement of entropy-expansiveness only in a locally residual subset (whence the meaning of the prefix \(R\)). For this definition, besides other things, an earlier result of \textit{M. J. Pacifico} and \textit{J. L. Vieitez} [Rev. Mat. Complut. 21, No. 2, 293--317 (2008; Zbl 1151.37032); Nonlinearity 23, No. 8, 1971--1990 (2010; Zbl 1201.37035)] is extended. In particular, the author posted and answered the question whether there exists some \(R\)-robustly entropy-expansive diffeomorphism that is not robustly entropy-expansive.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 37C20
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 37D25
Mathematics Subject Classification ID: 37D30
zbMATH DE Number: 6136415
zbMATH Keywords: robustness
zbMATH Keywords: genericity
zbMATH Keywords: homoclinic tangency
zbMATH Keywords: entropy-expansion
MaRDI profile type: Publication
full work available at URL: s00574-012-0006-2
OpenAlex ID: W1971647639
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DOI: 10.1007/S00574-012-0006-2
description: scientific article; zbMATH DE number 6136415