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

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Abstract
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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2011-01-23

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