Book chapter
Fractal Measures and their induced Gaussian Processes
Advances in Dimension Theory, Fractal Functions and Measures, pp.87-103
Contemporary Mathematics, v. 825, American Mathematical Society
2025
DOI: 10.1090/conm/825/16510
Abstract
Our general theme is classes of measures and their induced Gaussian Processes. Our motivation is the class of IFS fractal measures. We outline our construction, and we prove new duality results for Gaussian processes. Two features are stressed, first the Gaussian processes presented here are indexed by general measures; and secondly, the link in the induction is a framework of reproducing kernel Hilbert spaces for this measurable category. We obtain a precise necessary and sufficient condition for equivalence of pairs of probability measures which determine the corresponding two Gaussian processes.
Details
- Title: Subtitle
- Fractal Measures and their induced Gaussian Processes
- Creators
- Palle E.T. Jorgensen - Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242-1419James Tian - Mathematical Reviews, 416 4th Street Ann Arbor, Michigan 48103-4816
- Contributors
- Saurabh Verma (Editor) - Indian Institute of Information Technology AllahabadMaría A. Navascués (Editor) - Universidad de ZaragozaAmit Priyadarshi (Editor) - Indian Institute of Technology Delhi
- Resource Type
- Book chapter
- Publication Details
- Advances in Dimension Theory, Fractal Functions and Measures, pp.87-103
- Series
- Contemporary Mathematics; v. 825
- DOI
- 10.1090/conm/825/16510
- eISSN
- 1098-3627
- ISSN
- 0271-4132
- Publisher
- American Mathematical Society; Providence, Rhode Island
- Language
- English
- Date published
- 2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984958605902771
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