Abstract
We investigate the definition and measurability questions of random fractals with infinite branching, and find, under certain conditions, a formula for the upper and lower Minkowski dimensions. For the case of a random self-similar set we obtain the packing dimension.
Original language | English |
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Pages (from-to) | 1080-1089 |
Number of pages | 10 |
Journal | Annales de l'institut Henri Poincare (B) Probability and Statistics |
Volume | 49 |
Issue number | 4 |
DOIs | |
State | Published - Nov 2013 |
Externally published | Yes |
Keywords
- Minkowski dimension
- Packing dimension
- Random fractal