The Distribution of 3x+1 Trees

DOI10.1080/10586458.1995.10504321zbMath0868.11012OpenAlexW2030184319MaRDI QIDQ4891843

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Publication date: 19 August 1997

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227635

zbMATH Keywords

Collatz problembackward iteration\(3n+1\)-problemfluctuations of the leaf countsnumbers of leaves of depth \(k\)

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83) Martingales and classical analysis (60G46)

Related Items

Lower bounds for the total stopping time of 3𝑥+1 iterates ⋮ Embedding the 3x + 1 Conjecture in a 3x + d Context

Cites Work

• Unnamed Item
• The Collatz problem
• The \(3x +1\) problem: Two stochastic models
• Estimates for the Syracuse Problem via a Probabilistic Model
• The 3x + 1 Problem and Its Generalizations
• Imitation of an Iteration
• A Limit Theorem for Multidimensional Galton-Watson Processes