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arXiv · 2104.03999

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

Jozef Bobok·Jernej Činč·Piotr Oprocha·Serge Troubetzkoy
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Abstract

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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Jozef Bobok, Jernej Činč, Piotr Oprocha, Serge Troubetzkoy. 2021-04-08. S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps. https://arxiv.org/abs/2104.03999

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