Measures on Projective
نویسنده
چکیده
Let X be a compact Hausdorff space. We study finite-to-one map-pings r : X → X, onto X, and measures on the corresponding projective limit space X∞(r). We show that the invariant measures on X∞(r) correspond in a one-to-one fashion to measures on X which satisfy two identities. Moreover, we identify those special measures on X∞(r) which are associated via our correspondence with a function V on X, a Ruelle transfer operator R V , and an equilibrium measure µ V on X.
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تاریخ انتشار 2004