On the almost sure convergence of Syracuse sequences

DOI10.1016/j.spl.2006.04.005zbMath1100.60015OpenAlexW2051978009MaRDI QIDQ2507708

Luc Macot, Alain Slakmon

Publication date: 5 October 2006

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2006.04.005

zbMATH Keywords

random walknumber theory\(3x+1\) problemgambling theorySyracuse conjecture

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

• Iteration of the number-theoretic function \(f(2n)=n\), \(f(2n+1)=3n+2\)
• On the "3x + 1" Problem
• On the existence of a density
• Maximum excursion and stopping time record-holders for the problem: Computational results
• OPTIMAL GAMBLING SYSTEMS
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