Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Conference papers

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.
Complete list of metadata

Cited literature [8 references]  Display  Hide  Download

https://hal.inria.fr/hal-01184717
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Monday, August 17, 2015 - 2:25:38 PM
Last modification on : Thursday, July 9, 2020 - 8:40:15 AM
Long-term archiving on: : Wednesday, November 18, 2015 - 12:11:21 PM

File

dmAG0117.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

129

Files downloads

637