Erratum and addendum to 'A forward Ergodic Closing Lemma and the Entropy Conjecture for nonsingular endomorphisms away from tangencies' (Volume 40, Number 4, 2020, 2285-2313)

Shuhei Hayashi

doi:10.3934/dcds.2021196

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2022, Volume 42, Issue 5: 2433-2437. Doi: 10.3934/dcds.2021196

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Erratum and addendum to "A forward Ergodic Closing Lemma and the Entropy Conjecture for nonsingular endomorphisms away from tangencies" (Volume 40, Number 4, 2020, 2285-2313)

Shuhei Hayashi

Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo, Japan

Received: May 31, 2021

Revised: August 31, 2021

Published: May 2022

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Abstract

We add a lemma implicitly used in the proof of the forward Ergodic Closing Lemma in the paper "A forward Ergodic Closing Lemma and the Entropy Conjecture for nonsingular endomorphisms away from tangencies" [Discrete Contin. Dyn. Syst., 40 (2020), 2285-2313].

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Mathematics Subject Classification: 37C05, 37D30, 37B40, 37G25.

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References

[1]	S. Hayashi, A forward Ergodic Closing Lemma and the Entropy Conjecture for nonsingular endomorphisms away from tangencies, Discrete Contin. Dyn. Syst., 40 (2020), 2285-2313. doi: 10.3934/dcds.2020114.
[2]	V. Pliss, A hypothesis due to Smale, Diff. Eq., 8 (1972), 203-214.
[3]	C. Pugh and C. Robinson, The $C^1$ Closing Lemma, including Hamiltonians, Ergod Th. & Dynam. Sys., 3 (1983), 261-313. doi: 10.1017/S0143385700001978.