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Exploring the asymptotic average shadowing property

✍ Scribed by Kulczycki, Marcin; Oprocha, Piotr

Book ID: 120525830
Publisher: Taylor and Francis Group
Year: 2010
Tongue: English
Weight: 138 KB
Volume: 16
Category: Article
ISSN: 1023-6198
DOI: 10.1080/10236190802616643

No coin nor oath required. For personal study only.

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In this note, we prove that every Lyapunov stable map from a compact metric space onto itself is topologically ergodic, provided it has the asymptotic average shadowing property.