Fractal percolation and branching cellular automata
成果类型：
Article
署名作者：
Dekking, FM; von der Wal, P
署名单位：
Delft University of Technology
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/PL00008784
发表日期：
2001
页码：
277-308
关键词：
摘要：
Branching cellular automata (BCA) are introduced as generalisations of fractal percolation by admitting neighbour dependence. We associate sequences of random sets with BCA's and study their convergence. In case of convergence we derive the Hausdorff dimension of the limit set and of its boundary. To accomplish the latter we proof that the boundary of a set generated by a BCA is again a set generated by a BCA.
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