Stochastic Models for the 3x+1 and 5x+1 Problems

Details Stochastic Models for the 3x+1 and 5x+1 Problems Stochastic Models for the 3x+1 and 5x+1 Problems

2009-10-11

arxiv.org/abs/0910.1944v1

in: The Ultimate Challenge: The 3x+1 problem, Amer. Math. Soc.: Providence 2010, pp. 131--188

Mathematics

Number Theory

68 pages, 9 figures, 4 tables

Scientific paper

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.

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