Aspects of the fractal percolation process. (English) Zbl 0844.60091
Bandt, Christoph (ed.) et al., Fractal geometry and stochastics. Proceedings of a conference on fractal geometry and stochastics held at Finsterbergen, Germany, June 12-18, 1994. Basel: Birkhäuser. Prog. Probab. 37, 113-143 (1995).
Summary: The fractal percolation process is reviewed in selective detail. Most of the foundational results in the field are recapitulated, however in many cases, new techniques are brought into play to establish the results. In addition, there is a survey of some related models which, at present time, are the focus of much of the activity in the field. Finally, several new results are presented. Interspaced in these notes are a number of entry-level (open) problems. These range in difficulty from a weekened excursion to a full-blown research project.
For the entire collection see [Zbl 0829.00021].
For the entire collection see [Zbl 0829.00021].
MSC:
| 60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
| 82B43 | Percolation |
| 28A80 | Fractals |
