Toeplitz kneading sequences and adding machines
type: Item
instance of: scholarly article
title: Toeplitz kneading sequences and adding machines
zbMATH Open document ID: 1280.54022
author: Lori Alvin
published in: Discrete and Continuous Dynamical Systems
publication date: 2013-11-11T00:00:00Z
review text: A combinatorial characterization in terms of the kneading sequence is found for a unimodal map to have an embedded adding machine (meaning that the map restricted to \(\omega(c)\), where \(c\) is the turning point, is topologically conjugate to an adding machine). The main result is that this property is characterized by the kneading sequence being a non-periodic Toeplitz sequence with the `finite time containment property', and in addition unimodal maps are found with Toeplitz kneading sequences that do not have this property.
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 6224510
zbMATH Keywords: adding machine
zbMATH Keywords: Toeplitz sequence
zbMATH Keywords: kneading sequence
zbMATH Keywords: unimodal map
MaRDI profile type: Publication
full work available at URL: dcds.2013.33.3277
OpenAlex ID: W2316711490
DOI: 10.3934/DCDS.2013.33.3277
description: scientific article; zbMATH DE number 6224510