Corpus ID: 115169803

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

  title={Stochastic Models for the 3x+1 and 5x+1 Problems},
  author={Alex Kontorovich and J. Lagarias},
  journal={arXiv: Number Theory},
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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  • A. Caraiani
  • Mathematics, Computer Science
  • Adv. Appl. Math.
  • 2010
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