Weakly almost periodic point and ergodic measure
type: Item
instance of: scholarly article
title: Weakly almost periodic point and ergodic measure
zbMATH Open document ID: 0783.28010
published in: Chinese Annals of Mathematics. Series B
publication date: 1993-04-01T00:00:00Z
review text: This paper contains only trivial observations which are direct consequences of the Birkhoff's ergodic theorem and are very well-known to the Ergodic Theory community in general. Besides the results, the author also seems to be unaware of the standard (i.e., widely accepted) terminology (e.g., his use of the word ``weakly almost periodic'' is inappropriate). Finally, the question he has raised about the existence of a system with non-atomic ergodic measure whose minimal sets are periodic orbits is already answered in the construction of an example by B. Weiss and Y. Katznelson several years ago.
Mathematics Subject Classification ID: 28D05
zbMATH DE Number: 149400
zbMATH Keywords: measure-preserving transformation
zbMATH Keywords: ergodic measure
author: Zuoling Zhou
reviewed by: Mahesh Nerurkar
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 149400