Edward G. Belaga ; Maurice Mignotte
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Walking Cautiously Into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly
dmtcs:3512 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2006,
DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities
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https://doi.org/10.46298/dmtcs.3512
Walking Cautiously Into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly
Authors: Edward G. Belaga 1; Maurice Mignotte 1
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Edward G. Belaga;Maurice Mignotte
1 Institut de Recherche Mathématique Avancée
Building on theoretical insights and rich experimental data of our preprints, we present here new theoretical and experimental results in three interrelated approaches to the Collatz problem and its generalizations: \emphalgorithmic decidability, random behavior, and Diophantine representation of related discrete dynamical systems, and their \emphcyclic and divergent properties.
Idowu, Michael A., 2015, A Novel Theoretical Framework Formulated For Information Discovery From Number System And Collatz Conjecture Data, Procedia Computer Science, 61, pp. 105-111, 10.1016/j.procs.2015.09.165.