Scale-free behavior in hailstone sequences generated by the Collatz map

The Collatz conjecture, perhaps the most elementary unsolved problem in mathematics, claims that for all positive integers n, the map n↦n/2 (n even) and n↦3n+1 (n odd) reaches 1 after a finite number of iterations. We examine the Collatz map's orbits, known as hailstone sequences, to determine...

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Bibliographic Details
Main Authors: M. G. E. da Luz, D. M. G. dos Santos, E. P. Raposo, G. M. Viswanathan
Format: Article
Language:English
Published: American Physical Society 2021-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.013073