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TOPOLOGICAL PRESSURE OF THE SET OF GENERIC POINTS FOR Zd-ACTIONS

TOPOLOGICAL PRESSURE OF THE SET OF GENERIC POINTS FOR Zd-ACTIONS

We show that, if a continuous Zd or Zd+-action of a compact metric space has the almost product property (which is weaker than the specification property), then, for any continuous function and any invariant measure, the topological pressure of the set of all generic points coincides with the sum of …