Periodic Points for Expansive Actions of Zdon Compact Abelian Groups

Autor:	Ward, T. B.
Zdroj:	Bulletin of the London Mathematical Society; July 1992, Vol. 24 Issue: 4 p317-324, 8p
Abstrakt:	In this note we show that the periodic points of an expansive Zdaction 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.
Databáze:	Supplemental Index
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