TY - JOUR
T1 - Errata to ‘Transitivity and invariant measures for the geometric model of the Lorenz equations’
AU - Robinson, Clark
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1986/6
Y1 - 1986/6
N2 - All the theorems stated in [2] are true. In particular, theorem B, on the existence of an invariant measure, is true. However, in the proof of theorem B, it is necessary to use the result of G. Keller [1] on the existence of an invariant measure for a C1+α function. The attempt, in § 4 of this paper, to modify the proof of S. Wong so that it applies to this general case of a C1+α function, is faulty. These calculations do not overcome the real difficulties involved in the proof and leave major gaps in the estimates needed.
AB - All the theorems stated in [2] are true. In particular, theorem B, on the existence of an invariant measure, is true. However, in the proof of theorem B, it is necessary to use the result of G. Keller [1] on the existence of an invariant measure for a C1+α function. The attempt, in § 4 of this paper, to modify the proof of S. Wong so that it applies to this general case of a C1+α function, is faulty. These calculations do not overcome the real difficulties involved in the proof and leave major gaps in the estimates needed.
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U2 - 10.1017/S0143385700003497
DO - 10.1017/S0143385700003497
M3 - Comment/debate
AN - SCOPUS:84974183538
VL - 6
SP - 323
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 2
ER -