Periodic points for expansive actions of Zd on compact Abelian groups

Ward, T. B. (1992) Periodic points for expansive actions of Zd on compact Abelian groups. Bulletin of the London Mathematical Society, 24 (4). pp. 317-324. ISSN 0024-6093

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Abstract

In this note we show that the periodic points of an expansive Zd action on a compact abelian group are uniformly distributed with respect to Haar measure if the action has completely positive entropy. In the general expansive case, we show that any measure obtained as the distribution of periodic points along some sequence of periods necessarily has maximal entropy but need not be Haar measure.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	15 Dec 2022 02:09
URI:	https://ueaeprints.uea.ac.uk/id/eprint/18593
DOI:	10.1112/blms/24.4.317

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