Benford's law for the $3x+1$ function
Number Theory
2007-05-23 v2 Probability
Abstract
We show that for most choices of an initial seed , the sequence of the first iterates of under the map approximately satisfies Benford's law.
Cite
@article{arxiv.math/0509175,
title = {Benford's law for the $3x+1$ function},
author = {Jeffrey C. Lagarias and K. Soundararajan},
journal= {arXiv preprint arXiv:math/0509175},
year = {2007}
}
Comments
16 pages; revised proof of Prop. 3.3