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math.DS2021★ 3 cited
Periodic points and shadowing property for generic Lebesgue measure preserving interval maps
Jernej Činč, Jozef Bobok, Piotr Oprocha +1
We show that for the generic continuous maps of the interval and circle which preserve the Lebesgue measure it holds for each k 1 that the set of periodic points of period k…
math.DS2021
S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
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…