Translator Disclaimer
2017 A Class of Random Cantor Sets
Changhao Chen
Author Affiliations +
Real Anal. Exchange 42(1): 79-120 (2017).

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.

Citation

Download Citation

Changhao Chen. "A Class of Random Cantor Sets." Real Anal. Exchange 42 (1) 79 - 120, 2017.

Information

Published: 2017
First available in Project Euclid: 27 March 2017

zbMATH: 1384.28012
MathSciNet: MR3702557

Subjects:
Primary: 28A80, 37F40
Secondary: 60D05

Rights: Copyright © 2017 Michigan State University Press

JOURNAL ARTICLE
42 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.42 • No. 1 • 2017
Back to Top