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.References
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Additional Information
- Dorin Ervin Dutkay
- Affiliation: Department of Mathematics, Hill Center-Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
- MR Author ID: 608228
- Email: ddutkay@math.rutgers.edu
- Palle E. T. Jorgensen
- Affiliation: Department of Mathematics, The University of Iowa, 14 MacLean Hall, Iowa City, Iowa 52242-1419
- MR Author ID: 95800
- ORCID: 0000-0003-2681-5753
- Email: jorgen@math.uiowa.edu
- Received by editor(s): August 16, 2004
- Received by editor(s) in revised form: July 29, 2005
- Published electronically: June 22, 2006
- Additional Notes: This work was supported in part by NSF grant DMS 0457491
- Communicated by: David R. Larson
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 169-179
- MSC (2000): Primary 42C40, 42A16, 42A65, 43A65, 46G15, 47D07, 60G18
- DOI: https://doi.org/10.1090/S0002-9939-06-08469-3
- MathSciNet review: 2280185