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Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2006

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

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: \emphalgorithmic decidability, random behavior, and Diophantine representation of related discrete dynamical systems, and their \emphcyclic and divergent properties.
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Dates and versions

hal-01184717 , version 1 (17-08-2015)

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Edward G. Belaga, Maurice Mignotte. Walking Cautiously Into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.249-260, ⟨10.46298/dmtcs.3512⟩. ⟨hal-01184717⟩
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