Disintegration of projective measures
Classical Analysis and ODEs
2007-10-25 v3 Dynamical Systems
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 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.
Cite
@article{arxiv.math/0408151,
title = {Disintegration of projective measures},
author = {Dorin Ervin Dutkay and Palle E. T. Jorgensen},
journal= {arXiv preprint arXiv:math/0408151},
year = {2007}
}
Comments
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