S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps - Institut de Mathématiques de Marseille 2014-
Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2023

S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps

Résumé

In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic property also for continuous circle maps. In particular, this implies that classical shadowing, periodic shadowing and limit shadowing are generic in these two settings as well.
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hal-03195670 , version 1 (17-09-2024)

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Jozef Bobok, Jernej Činč, Piotr Oprocha, Serge Troubetzkoy. S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps. Ergodic Theory and Dynamical Systems, 2023, 43 (1), pp.78-98. ⟨10.1017/etds.2021.112⟩. ⟨hal-03195670⟩
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