A structure theorem on doubling measures with different bases
Classical Analysis and ODEs
2021-01-20 v2 Number Theory
Abstract
In this paper, we prove a structure theorem for the infinite union of -adic doubling measures via techniques which involve far numbers. Our approach extends the results of Wu in 1998, and as a by product, we also prove a classification result related to normal numbers.
Cite
@article{arxiv.2012.05778,
title = {A structure theorem on doubling measures with different bases},
author = {Theresa C. Anderson and Bingyang Hu},
journal= {arXiv preprint arXiv:2012.05778},
year = {2021}
}
Comments
12 pages, 4 figures. Slight reorganization, simplified a few proofs