Mixed generalized dimensions of self-similar measures (Q2484269)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed generalized dimensions of self-similar measures |
scientific article |
Statements
Mixed generalized dimensions of self-similar measures (English)
0 references
1 August 2005
0 references
The author firstly defines and develops a general and unifying mixed multifractal theory of mixed Rényi dimensions (also sometimes called the generalized dimensions), mixed \(L^q\)-di\-men\-sions and mixed coarse multifractal spectra for arbitrary doubling measures. And secondly, as an application, the author provides a complete description of the mixed multifractal theory of finitely many self-similar measures.
0 references
fractals
0 references
multifractals
0 references
mixed multifractal spectrum
0 references
\(L^q\)-spectrum
0 references
Hausdorff measure
0 references
packing measure
0 references
divergence points
0 references
local dimension
0 references
0 references
0 references
0 references
