Diffusion on multifractals
Anh, Vo V., Angulo, Jose M., & Ruiz-Medina, Maria D. (2005) Diffusion on multifractals. Nonlinear Analysis, Theory, Methods and Applications, 63(5-7), pp. 2043-2056.
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Abstract
We introduce a class of random fields with variable mean-square regularity order defined on multifractal domains. The local singularity order of these random fields then depends on the initial variable mean-square regularity order, and on the variable local singularity exponent of the multifractal measure defining the local dimension of the domain considered. The theory is developed in a generalized framework through the covariance factorization, using the tools of reproducing kernel Hilbert spaces and fractional Sobolev spaces of variable order.
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| ID Code: | 7401 |
|---|---|
| Item Type: | Journal Article |
| Additional Information: | For more information, please refer to the journal’s website (see link) or contact the author. Author contact details: v.anh@qut.edu.au |
| Keywords: | Generalized random fields, diffusion processes, multifractals |
| DOI: | 10.1016/j.na.2005.02.107 |
| ISSN: | 0362-546X |
| Subjects: | Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400) > Stochastic Analysis and Modelling (010406) |
| Divisions: | Past > QUT Faculties & Divisions > Faculty of Science and Technology Current > Research Centres > Science Research Centre |
| Copyright Owner: | Copyright 2005 Elsevier |
| Deposited On: | 04 May 2007 |
| Last Modified: | 01 Mar 2012 13:56 |
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