Endomorphisms of the shift dynamical system, discrete derivatives, and applications
type: Item
instance of: scholarly article
title: Endomorphisms of the shift dynamical system, discrete derivatives, and applications
zbMATH Open document ID: 1200.37007
published in: Discrete Mathematics
publication date: 2009-12-15T00:00:00Z
full work available at URL: http://hdl.handle.net/1721.1/96272
review text: Viewing the \(2\)-adic numbers as formal bi-infinite series of \(0\)'s and \(1\)'s one obtains a continuous shift dynamical system \(S: \mathbb Z_2\to \mathbb Z_2\). The author gives a classification of all endomorphisms of \(S\) and discusses related dynamical systems.
reviewed by: Joachim Hilgert
Mathematics Subject Classification ID: 37A45
zbMATH DE Number: 5648060
zbMATH Keywords: shift dynamical system
zbMATH Keywords: endomorphisms
zbMATH Keywords: \(3x+1\) conjecture
author: Maria Monks Gillespie
MaRDI profile type: Publication
OpenAlex ID: W2039579364
cites work: The 3x+ 1 Conjugacy Map
cites work: \(p\)-adic numbers: An introduction.
cites work: Endomorphisms and automorphisms of the shift dynamical system
cites work: The 3x + 1 Problem and Its Generalizations
cites work: An Introduction to Symbolic Dynamics and Coding
cites work: The autoconjugacy of the \(3x+1\) function.
DOI: 10.1016/J.DISC.2009.04.006
description: scientific article; zbMATH DE number 5648060