ar X iv : m at h / 04 08 15 1 v 2 [ m at h . C A ] 2 7 Ju l 2 00 5 DISINTEGRATION OF PROJECTIVE MEASURES
نویسندگان
چکیده
In this paper, we study a class of quasi-invariant measures on paths generated by discrete dynamical systems. Our main result characterizes the subfamily of these measures which admit a certain disintegration. This is a disintegration with respect to a random walk Markov process which is indexed by the starting point of the paths. Our applications include wavelet constructions on Julia sets of rational maps on the Riemann sphere.
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