TOPOLOGICAL PRESSURE OF THE SETOF GENERIC POINTS FOR Z~d-ACTIONS

摘要

We show that, if a continuous Z~dor Z_+~d-action of a compact metric space hasthe almost product property (which is weaker than the specification property), then, for anycontinuous function and any invariant measure, the topological pressure of the set of allgeneric points coincides with the sum of the metric entropy and the mean of the continuousfunction.