Disintegration of projective measures

Dorin Ervin Dutkay; Palle E.T Jorgensen

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

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Disintegration of projective measures

Dorin Ervin Dutkay and Palle E.T Jorgensen

Proceedings of the American Mathematical Society, Vol.135(1), pp.169-179

2007

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

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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.

Details

Title: Subtitle: Disintegration of projective measures
Creators: Dorin Ervin Dutkay
Palle E.T Jorgensen
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.135(1), pp.169-179
DOI: 10.1090/S0002-9939-06-08469-3
ISSN: 0002-9939
eISSN: 1088-6826
Publisher: American Mathematical Society
Language: English
Date published: 2007
Academic Unit: Mathematics
Record Identifier: 9983985952702771

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