publication . Preprint . 2019

Syracuse_Collatz Conjecture: Comparison of two Markov approaches towards the proof

Galetto, Fausto;
Open Access English
  • Published: 30 Aug 2019
  • Publisher: HAL CCSD
  • Country: France
Abstract
We analyse two probabilistic methods for the proof of the conjecture and we provide a comparison of the proofs, using the Reliability Integral Theory and the SPQR Principle.
Subjects
free text keywords: Independent Researcher KEYWORDS: Quality Methods, Numerical Methods, Hailstone Conjecture, SPQR, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [STAT.AP]Statistics [stat]/Applications [stat.AP]

[1] T. Carletti, D. Fanelli, 2016, Quantifying the degree of average contraction of Collatz orbits. arXiv:1612.07820.v1

[2] Galetto, F., 2019, Proof of the Syracuse_Collatz Conjecture. 2019. <hal-02048821> and Academia.Edu

[3] Galetto, F., 2016, Reliability and Maintenance, Scientific Methods, Practical Approach, Vol-1, www.morebooks.de.

[4] Galetto, F., 2016, Reliability and Maintenance, Scientific Methods, Practical Approach, Vol-2, www.morebooks.de.

[5] Galetto, F., 2017, The SPQR («Semper Paratus ad Qualitatem et Rationem») Principle in Action. Engineering and Applied Sciences. [OpenAIRE]

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