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- Title
A CLASS OF RANDOM CANTOR SETS.
- Authors
Changhao Chen
- Abstract
In this paper we study a class of random Cantor sets. We determine their almost sure Hausdorff, packing, box, and Assouad dimensions. From a topological point of view, we also compute their typical dimen- sions in the sense of Baire category. For the natural random measures on these random Cantor sets, we consider their almost sure lower and upper local dimensions. In the end we study the hitting probabilities of a special subclass of these random Cantor sets.
- Subjects
TOPOLOGY; ALGEBRAIC topology; HAUSDORFF spaces; BAIRE spaces; PACKING (Mechanical engineering)
- Publication
Real Analysis Exchange, 2017, Vol 42, Issue 1, p79
- ISSN
0147-1937
- Publication type
Article
- DOI
10.14321/realanalexch.42.1.0079