Statistical properties of an iterated arithmetic mapping

DOI10.1007/BF02188683zbMath0845.11009OpenAlexW2093855919MaRDI QIDQ1906368

Yanyan Li

Publication date: 1994

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02188683

zbMATH Keywords

random sequencesCollatz problemtrifurcation process

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83) Arithmetic functions in probabilistic number theory (11K65)

Related Items (1)

The Collatz conjecture and de Bruijn graphs

Cites Work

• The \(3x +1\) problem: Two stochastic models
• Iteration of the number-theoretic function \(f(2n)=n\), \(f(2n+1)=3n+2\)
• The 3x + 1 Problem and Its Generalizations
• Imitation of an Iteration
• A stopping time problem on the positive integers
• On the "3x + 1" Problem
• The set of rational cycles for the 3x+1 problem
• \(3x + 1\) search programs
• Unnamed Item

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