3x+1 dynamics on rationals with fixed denominator

Details 3x+1 dynamics on rationals with fixed denominator 3x+1 dynamics on rationals with fixed denominator

2002-04-13

arxiv.org/abs/math/0204170v1

Mathematics

Dynamical Systems

7 pages, AMS-TeX

Scientific paper

We propose the existence of an infinite class of exact analogues of the 3x+1
conjecture for rational numbers with fixed denominators. For some other
denominators, there are several attracting cycles, which exhibit scaling and
covariance phenomena. We analyze these phenomena in terms of results of Bohm,
Sontacchi and Lagarias.

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