Koopman Operators and the $3x+1$-Dynamical System

DOI10.1137/20M1348182zbMath1483.37011arXiv2010.12987OpenAlexW3203963431MaRDI QIDQ5164902

Costas Poulios, John Leventides

Publication date: 15 November 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12987

zbMATH Keywords

discrete dynamical systems\(C^{\ast}\)-algebrasCollatz conjectureKoopman operators

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Dynamical systems and the theory of (C^*)-algebras (37A55) Operators on Banach spaces (47B01)

Related Items (1)

Extended dynamic mode decomposition for two paradigms of non-linear dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iteration of the number-theoretic function \(f(2n)=n\), \(f(2n+1)=3n+2\)
• Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry
• A new embedding of the \(3x + 1\) dynamical system
• Applied Koopmanism
• The 3x+1 Problem: An Overview
• A stopping time problem on the positive integers
• Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

This page was built for publication: Koopman Operators and the $3x+1$-Dynamical System