Disintegration of projective measures

Dutkay, Dorin; Jorgensen, Palle

doi:10.1090/S0002-9939-06-08469-3

Disintegration of projective measures
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by Dorin Ervin Dutkay and Palle E. T. Jorgensen PDF

Proc. Amer. Math. Soc. 135 (2007), 169-179 Request permission

Abstract:

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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