Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614301 | Journal of Mathematical Analysis and Applications | 2016 | 13 Pages |
Abstract
We study the self-similar subsets of a class of Cantor sets with nice symmetric structure. Our result generalizes the result of Feng, Rao and Wang (2015) [3], which characterizes all the self-similar subsets of the Middle-Third Cantor set (a question raised by P. Mattila in 1998). We simplify a number-theoretical argument in the paper of Feng, Rao and Wang, and make it applicable to a large class of self-similar sets.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ying Zeng,