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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
American Physical Society
2021-01-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.3.013073 |