On a class of random sets of positive integers
Probability
2020-08-21 v1
Abstract
In this note, we study a class of random subsets of positive integers induced by Bernoulli random variables. We obtain sufficient conditions such that the random set is almost surely lacunary, does not have bounded gaps and contains infinitely many arithmetic progressions, respectively.
Keywords
Cite
@article{arxiv.2008.08858,
title = {On a class of random sets of positive integers},
author = {Yong Han and Yanqi Qiu and Zipeng Wang},
journal= {arXiv preprint arXiv:2008.08858},
year = {2020}
}
Comments
9 pages