Title
A Shift-Invariant Metric on Szz Inducing a Non-trivial Tolology
Abstract
In this paper we discuss the meaning of sensitivity and its implicationsin CA behavior. A new shift-invariant metric is given. Themetric topology induced by this metric is perfect but not compact.Moreover we prove that the new space is "suitable" for the study ofthe dynamical behavior of CA. In this context sensitivity assumesa stronger meaning than before (usually S Z is given the producttopology). Now cellular automata are sensitive if they are not onlycapable of "transporting"...
Year
DOI
Venue
1997
10.1007/BFb0029961
MFCS
Keywords
Field
DocType
shift-invariant metric,non-trivial tolology,cellular automata,shift invariant
Quantum finite automata,Discrete mathematics,Automata theory,Mobile automaton,Computer science,Quotient space (topology),Product topology,Stochastic cellular automaton,Quantum cellular automaton,ω-automaton
Conference
ISBN
Citations 
PageRank 
3-540-63437-1
15
1.84
References 
Authors
4
4
Name
Order
Citations
PageRank
Gianpiero Cattaneo156658.22
Enrico Formanti2151.84
Luciano Margara336746.16
Jacques Mazoyer431028.27