Walking Cautiously Into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly

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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: algorithmic decidability, random behavior, and Diophantine representation of related discrete dynamical systems, and their cyclic and divergent properties.
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Archival date: 2011-01-23
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