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

Edward G. Belaga 1 Maurice Mignotte 1
1 IRMA - Institut de Recherche Mathématique Avancée
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.
Keywords : discrete dynamical systems Collatz and Conway transforms or Collatz problem 3n+1 pseudo-rundom walks Diophantine approximations exponential Diophantine equations algorithmic decidability
Type de document :
Communication dans un congrès
Chassaing, Philippe and others. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, pp.249-260, 2006, DMTCS Proceedings
Liste complète des métadonnées

Littérature citée [8 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-01184717
Contributeur : Coordination Episciences Iam <>
Soumis le : lundi 17 août 2015 - 14:25:38
Dernière modification le : jeudi 15 mars 2018 - 01:35:57
Document(s) archivé(s) le : mercredi 18 novembre 2015 - 12:11:21

Fichier

dmAG0117.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01184717, version 1

Collections

IRMA | INSMI | TDS-MACS | SITE-ALSACE

Citation

Edward G. Belaga, Maurice Mignotte. Walking Cautiously Into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly. Chassaing, Philippe and others. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, pp.249-260, 2006, DMTCS Proceedings. 〈hal-01184717〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

186

Téléchargements de fichiers

272

Contact


archive-ouverte@inria.fr