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.
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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|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: firstname.lastname@example.org|
|Keywords:||Generalized random fields, diffusion processes, multifractals|
|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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