Stochastic Models for the 3x+1 and 5x+1 Problems
Number Theory
2011-06-22 v1
Abstract
This paper discusses stochastic models for predicting the long-time behavior of the trajectories of orbits of the 3x+1 problem and, for comparison, the 5x+1 problem. The stochastic models are rigorously analyzable, and yield heuristic predictions (conjectures) for the behavior of 3x+1 orbits and 5x+1 orbits.
Keywords
Cite
@article{arxiv.0910.1944,
title = {Stochastic Models for the 3x+1 and 5x+1 Problems},
author = {Alex V. Kontorovich and Jeffrey C. Lagarias},
journal= {arXiv preprint arXiv:0910.1944},
year = {2011}
}
Comments
68 pages, 9 figures, 4 tables