Errata to ‘Transitivity and invariant measures for the geometric model of the Lorenz equations’

Clark Robinson*

*Corresponding author for this work

Research output: Contribution to journalComment/debatepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)323
Number of pages1
JournalErgodic Theory and Dynamical Systems
Volume6
Issue number2
DOIs
StatePublished - Jun 1986

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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