Disintegration of projective measures

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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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Classical Analysis and ODEs, Dynamical Systems, 42C40, 42A16, 42A65, 43A65, 46G15, 47D07, 60G18

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http://salesiana.dossiersoluciones.com/handle/123456789/140638

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408151
 http://arxiv.org/abs/math/0408151
 Proc. Amer. Math. Soc. 135 (2007), no. 1, 169--179

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