Linear dynamics of an operator associated to the Collatz map

DOI10.1090/proc/16627arXiv2303.03203OpenAlexW4385483289MaRDI QIDQ6154346

Unnamed Author

Publication date: 15 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.03203

zbMATH Keywords

ergodicityhypercyclicitychaotic operatorsfrequent hypercyclicityCollatz conjecture

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Eigenvalues, singular values, and eigenvectors (15A18) Power series (including lacunary series) in one complex variable (30B10) Cyclic vectors, hypercyclic and chaotic operators (47A16) Bergman spaces and Fock spaces (30H20)

Cites Work

• Unnamed Item
• Unnamed Item
• Linear chaos
• The \(3x+1\) problem: New lower bounds on nontrivial cycle lengths
• Functional equations connected with the Collatz problem
• The 3x+1 Problem: An Overview
• Frequently hypercyclic operators
• Bounds for the 3x+1 problem using difference inequalities
• Lower bounds for the total stopping time of 3𝑥+1 iterates
• Almost all orbits of the Collatz map attain almost bounded values

This page was built for publication: Linear dynamics of an operator associated to the Collatz map