%0 Journal Article
%T Disintegration of projective measures
%A Dorin Ervin Dutkay
%A Palle E. T. Jorgensen
%J Mathematics
%D 2004
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0408151v3