Periodic Points for Expansive Actions of Z <sup> <i>d</i> </sup> on Compact Abelian Groups
Periodic Points for Expansive Actions of Z <sup> <i>d</i> </sup> on Compact Abelian Groups
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 …