Fractal Percolation,Porosity, and Dimension |
| |
| Authors: | Changhao Chen Tuomo Ojala Eino Rossi Ville Suomala |
| |
| Affiliation: | 1.Department of Mathematical Sciences,University of Oulu,Oulu,Finland;2.Department of Mathematics and Statistics,University of Jyvaskyla,University of Jyvaskyla,Finland |
| |
| Abstract: | We study the porosity properties of fractal percolation sets (Esubset mathbb {R}^d). Among other things, for all (0, we obtain dimension bounds for the set of exceptional points where the upper porosity of E is less than (tfrac{1}{2}-varepsilon ), or the lower porosity is larger than (varepsilon ). Our method works also for inhomogeneous fractal percolation and more general random sets whose offspring distribution gives rise to a Galton–Watson process. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
