General Mathematics

    

A Proof for the Collatz Conjecture

Authors: Jérôme Chauvet

This proof adresses the Collatz conjecture and relies on the quantitative characterization undergone by the evolving densities of even versus odd natural numbers within the limit set produced by infinite iterations of the transformation law T from any initial value taken in IN. This couple of limit densities at infinity for even and odd numbers naturally comes along with respective frequencies of occurrence for the two competing transformations of the Collatz system, from which we deduce the final cyclic attractor, hence proving the conjecture.

Comments: 5 Pages.

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[v1] 2026-05-27 12:32:03

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