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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Convergencia eventual de la función D. El ciclo trivial como único equilibrio estructural

Authors: Miguel Cerdá Bennassar;

Convergencia eventual de la función D. El ciclo trivial como único equilibrio estructural

Abstract

Este escrito no presenta una demostración analítica clásica de la conjetura de Collatz, sino una síntesis estructural final del marco desarrollado a lo largo de los trabajos precedentes. Su objetivo es fijar la comprensión global de la dinámica inducida por la función D, identificando los mecanismos que gobiernan el crecimiento y el descenso de las trayectorias, así como el límite intrínseco de este enfoque. La conjetura de Collatz sigue resistiéndose no por falta de evidencia estructural o computacional, sino porque el último paso lógico demanda una nueva herramienta matemática que una la dinámica iterativa con la teoría de números analítica de un modo aún no descubierto.

Keywords

dinámica de Collatz, valuación 2-ádica, reserva binaria, memoria algebraica, funcional lyapunov, impares 4n+1, Conjetura de Collatz, convergencia, ciclo trivial

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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