Result: On the density of periodic configurations in strongly irreducible subshifts
Title:
On the density of periodic configurations in strongly irreducible subshifts
Source:
Nonlinearity (Bristol. Print). 25(7):2119-2131
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 22 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Théorie des groupes, Group theory, Théorie des groupes et généralisations, Group theory and generalizations, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Configuration périodique, Periodic configuration, Configuración periódica, Endomorphisme, Endomorphism, Endomorfismo, Estimation densité, Density estimation, Estimación densidad, Groupe automorphisme, Automorphism group, Grupo automorfismo, Groupe fini, Finite group, Grupo finito, Physique mathématique, Mathematical physics, Física matemática, 20B05, Ensemble fini
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Dipartimento di Ingegneria, Universita del Sannio, C.so Garibaldi 107, 82100 Benevento, Italy
Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René-Descartes, 67000 Strasbourg, France
Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René-Descartes, 67000 Strasbourg, France
ISSN:
0951-7715
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.26131767
Database:
PASCAL Archive
Further Information
Let G be a residually finite group and let A be a finite set. We prove that if X ⊂ AG is a strongly irreducible subshift of finite type containing a periodic configuration then periodic configurations are dense in X. The density of periodic configurations implies in particular that every injective endomorphism of X is surjective and that the group of automorphisms of X is residually finite. We also introduce a class of subshifts X C Aℤ, including all strongly irreducible subshifts and all irreducible sofic subshifts, in which periodic configurations are dense.