Collatz's "3x+1" problem and iterative maps on interval
Number Theory
2007-05-23 v2 Dynamical Systems
Abstract
In this paper, we convert Collatz map into a simple conjugate iterative maps defined in [0,1]. Such maps are more familiar to us and easier to deal with. Some new features of this map are observed by this method. An interesting heuristic proof is also presented. This research may provide a new venture to crack the "3x+1" problem.
Cite
@article{arxiv.math/0608708,
title = {Collatz's "3x+1" problem and iterative maps on interval},
author = {Wang Liang},
journal= {arXiv preprint arXiv:math/0608708},
year = {2007}
}
Comments
15 pages,4 figures