A probabilistic model for the 5x+1 problem and related maps

S Volkov

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

Abstract

We construct a probabilistic model which “mimics� the behaviour of a certain number-theoretical algorithm. This model involves study of a binary tree with randomly labelled edges, such that the labels have different distributions, depending on their directions. A number of properties of this tree are rigorously studied. As an application, this study could suggest what one could expect in the original algorithm.
Translated title of the contributionA probabilistic model for the 5x+1 problem and related maps
Original languageEnglish
Pages (from-to)662 - 674
Number of pages13
JournalStochastic Processes and their Applications
Volume116 (4)
DOIs
Publication statusPublished - Apr 2006

Bibliographical note

Publisher: Elsevier Ltd

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