Published October 2008
| Submitted
Journal Article
Open
Random wavelet series based on a tree-indexed Markov chain
- Creators
- Durand, Arnaud
Abstract
We study the global and local regularity properties of random wavelet series whose coefficients exhibit correlations given by a tree-indexed Markov chain. We determine the law of the spectrum of singularities of these series, thereby performing their multifractal analysis. We also show that almost every sample path displays an oscillating singularity at almost every point and that the points at which a sample path has at most a given Hölder exponent form a set with large intersection.
Additional Information
© Springer 2008. Received: 14 August 2007 Accepted: 17 October 2007 Published online: 9 May 2008.Attached Files
Submitted - DURcmp08preprint.pdf
Files
DURcmp08preprint.pdf
Files
(381.3 kB)
Name | Size | Download all |
---|---|---|
md5:6340192647d60ef02703c62f1550cc5f
|
381.3 kB | Preview Download |
Additional details
- Eprint ID
- 14917
- Resolver ID
- CaltechAUTHORS:20090810-094241814
- Created
-
2009-08-10Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field