Fixed point shifts of inert involutions
type: Item
instance of: scholarly article
title: Fixed point shifts of inert involutions
zbMATH Open document ID: 1188.37011
published in: Discrete and Continuous Dynamical Systems
publication date: 2009-12-16T00:00:00Z
review text: For a mixing shift of finite type \(X\) is considered which subshifts of finite type \(Y\subset X\) can be realized as the fixed point shift of an inert involution of \(X\). A condition on the periodic points of \(X\) and \(Y\) that is necessary for \(Y\) to be fixed point shift of an inert involution of \(X\) is stated. Is showed that this condition is sufficient to realize \(Y\) as the fixed point shift of involution, up to shift equivalence on \(X\), if \(X\) is a shift of finite type with Artin-Mazur zeta function equivalent to 1 and 2. What \(f\)-invariant subshifts which can be realized as the fixed point shift of an inert involution are characterized for an inert involution \(f\).
reviewed by: Juan L. G. Guirao
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 37C85
Mathematics Subject Classification ID: 37F10
zbMATH DE Number: 5648561
zbMATH Keywords: inert
zbMATH Keywords: involution
zbMATH Keywords: fixed point shift
zbMATH Keywords: Henon
zbMATH Keywords: automorphism group
author: Nicholas J. Long
MaRDI profile type: Publication
full work available at URL: dcds.2009.25.1297
OpenAlex ID: W2031121726
DOI: 10.3934/DCDS.2009.25.1297
description: scientific article; zbMATH DE number 5648561