7- https://doi.org/10.14321/realanalexch.42.1.0079
A Class of Random Cantor Sets
- Jan 1, 2017
- Real Analysis Exchange
- 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 dimensions 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.
- # Sense Of Baire Category
- # Random Cantor Sets
- # Topological Point Of View
- # Assouad Dimensions
- # Packing Dimensions
- # Box Dimensions
- # Hausdorff Dimensions
- # Lower Dimensions
- # Random Cantor
- # Special Subclass
