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S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps (2104.03999v1)
Published 8 Apr 2021 in math.DS
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.