Title
Minimal Forbidden Patterns Of Multi-Dimensional Shifts
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 semistrongly irreducible shifts. We prove a weaker invariant in the general case.
Year
DOI
Venue
2005
10.1142/S0218196705002165
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
Field
DocType
higher dimensional shifts, minimal forbidden patterns, conjugacy invariants
Discrete mathematics,Multi dimensional,Conjugacy class,Invariant (mathematics),Mathematics
Journal
Volume
Issue
ISSN
15
1
0218-1967
Citations 
PageRank 
References 
3
0.56
10
Authors
3
Name
Order
Citations
PageRank
Marie-pierre Béal132735.73
Francesca Fiorenzi2579.00
Filippo Mignosi356999.71