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

Autor:	Kontorovich, Alex V., Lagarias, Jeffrey C.
Rok vydání:	2009
Předmět:	Mathematics - Number Theory 11B83 11B85 11B37 37A45 60F10 11K55
Zdroj:	in: The Ultimate Challenge: The 3x+1 problem, Amer. Math. Soc.: Providence 2010, pp. 131--188
Druh dokumentu:	Working Paper
Popis:	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. Comment: 68 pages, 9 figures, 4 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0910.1944 Zobrazit plný text záznamu View this record from Arxiv