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

Jozef Bobok
  • Function : Author
Jernej Činč
  • Function : Author
Piotr Oprocha
  • Function : Author

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.

Dates and versions

hal-03195670 , version 1 (12-04-2021)

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Jozef Bobok, Jernej Činč, Piotr Oprocha, Serge Troubetzkoy. S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps. 2021. ⟨hal-03195670⟩
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