TY - JOUR
T1 - Erratum
T2 - Thermodynamics of the Katok map (Ergodic Theory and Dynamical Systems 39:3 (764-794) DOI: 10.1017/etds.2017.35)
AU - Pesin, Y.
AU - Senti, S.
AU - Zhang, K.
N1 - Publisher Copyright:
© 2021 Cambridge University Press. All rights reserved.
PY - 2021/6
Y1 - 2021/6
N2 - 1. Introduction While all main results of the paper [PSZ] remain correct as stated, the proofs of the technical Lemmas 5.2 and 5.3 contain mistakes. This affects the proof of Lemma 6.4 and we provide necessary modifications to the proofs of these lemmas. 2. Lemma 5.2 In Lemma 5.2, the third and fourth inequalities should be replaced by the single inequality (Farmula Presented) While equation (12) is correct, it is not longer needed and can be ignored. The proof goes as follows. To show the second and fourth inequalities, observe that, as shown in the paper (see page 774), (Farmula Presented).
AB - 1. Introduction While all main results of the paper [PSZ] remain correct as stated, the proofs of the technical Lemmas 5.2 and 5.3 contain mistakes. This affects the proof of Lemma 6.4 and we provide necessary modifications to the proofs of these lemmas. 2. Lemma 5.2 In Lemma 5.2, the third and fourth inequalities should be replaced by the single inequality (Farmula Presented) While equation (12) is correct, it is not longer needed and can be ignored. The proof goes as follows. To show the second and fourth inequalities, observe that, as shown in the paper (see page 774), (Farmula Presented).
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U2 - 10.1017/etds.2020.21
DO - 10.1017/etds.2020.21
M3 - Comment/debate
AN - SCOPUS:85083100387
SN - 0143-3857
VL - 41
SP - 1864
EP - 1866
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 6
ER -