On random fractals with infinite branching: definition, measurability, dimensions (Q376692)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On random fractals with infinite branching: definition, measurability, dimensions |
scientific article |
Statements
On random fractals with infinite branching: definition, measurability, dimensions (English)
0 references
19 November 2013
0 references
The random fractals with infinite branching is one of interesting topics on fractals. Dimensions, including Minkowski dimension, are the useful tool to study a fractal. This paper studies random fractals with infinite branching by considering its Minkowski dimension. Under certain conditions, the author presents a formula for the upper and lower Minkowski dimensions. Moreover, for the case of a random self-similar set, the author obtains the packing dimension formula.
0 references
packing dimension
0 references
Minkowski dimension
0 references
random fractal
0 references
0 references
