On almost specification and average
shadowing properties
Fundamenta Mathematicae, Tome 224 (2014) no. 3, pp. 241-278
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We study relations between the almost specification property, the asymptotic average shadowing property and the average shadowing property for dynamical systems on compact metric spaces. We show implications between these properties and relate them to other important notions such as shadowing, transitivity, invariant measures, etc. We provide examples showing that compactness is a necessary condition for these implications to hold. As a consequence, we also obtain a proof that limit shadowing in chain transitive systems implies shadowing.
Keywords:
study relations between almost specification property asymptotic average shadowing property average shadowing property dynamical systems compact metric spaces implications between these properties relate other important notions shadowing transitivity invariant measures etc provide examples showing compactness necessary condition these implications consequence obtain proof limit shadowing chain transitive systems implies shadowing
Affiliations des auteurs :
Marcin Kulczycki 1 ; Dominik Kwietniak 1 ; Piotr Oprocha 2
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title = {On almost specification and average
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journal = {Fundamenta Mathematicae},
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volume = {224},
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Marcin Kulczycki; Dominik Kwietniak; Piotr Oprocha. On almost specification and average shadowing properties. Fundamenta Mathematicae, Tome 224 (2014) no. 3, pp. 241-278. doi: 10.4064/fm224-3-4
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