Disintegration of projective measures

Details Disintegration of projective measures Disintegration of projective measures

2004-08-11

arxiv.org/abs/math/0408151v3

Proc. Amer. Math. Soc. 135 (2007), no. 1, 169--179

Mathematics

Classical Analysis and ODEs

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Scientific paper

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 desintegration. This is a desintegration 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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