On specification and measure expansiveness

Welington Cordeiro, Manfred Denker, Xuan Zhang

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We relate the local specification and periodic shadowing properties. We also clarify the relation between local weak specification and local specification if the system is measure expansive. The notion of strong measure expansiveness is introduced, and an example of a non-expansive systems with the strong measure expansive property is given. Moreover, we find a family of examples with the N-expansive property, which are not strong measure expansive. We finally show a spectral decomposition theorem for strong measure expansive dynamical systems with shadowing.

Original languageEnglish (US)
Pages (from-to)1941-1957
Number of pages17
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume37
Issue number4
DOIs
StatePublished - Apr 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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