MINIMAL FORBIDDEN PATTERNS OF MULTI-DIMENSIONAL SHIFTS-Reference-Cited by-同舟云学术

MINIMAL FORBIDDEN PATTERNS OF MULTI-DIMENSIONAL SHIFTS

Published:2005-02 Issue:01 Volume:15 Page:73-93
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BÉAL MARIE-PIERRE¹,FIORENZI FRANCESCA¹,MIGNOSI FILIPPO²

Affiliation:

1. Institut Gaspard Monge, Université de Marne la Vallée, 5 Bd Descartes, Champs-sur-Marne, F-77454 Marne la Vallée, France

2. Dipartimento di Matematica ed Applicazioni, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy

Abstract

We study whether the entropy (or growth rate) of minimal forbidden patterns of symbolic dynamical shifts of dimension 2 or more, is a conjugacy invariant. We prove that the entropy of minimal forbidden patterns is a conjugacy invariant for uniformly semi-strongly irreducible shifts. We prove a weaker invariant in the general case.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196705002165

Reference20 articles.

1. Forbidden Words in Symbolic Dynamics

2. Words, univalent factors, and boxes

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Decidability of Irreducible Tree Shifts of Finite Type;Journal of Statistical Physics;2019-10-24

2. Matrix characterization of multidimensional subshifts of finite type;Applied General Topology;2019-10-01

3. Mixing properties of tree-shifts;Journal of Mathematical Physics;2017-11

4. THE SYNTACTIC GRAPH OF A SOFIC SHIFT IS INVARIANT UNDER SHIFT EQUIVALENCE;International Journal of Algebra and Computation;2006-06