3x+1 dynamics on rationals with fixed denominator

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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.
7 pages, AMS-TeX

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Dynamical Systems, Number Theory, 11B37

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http://salesiana.dossiersoluciones.com/handle/123456789/63806

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204170
 http://arxiv.org/abs/math/0204170

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arXiv