Embedding of expansive dynamical systems into symbolic dynamical systems

Authors
Akashi, S
Citation
S. Akashi, Embedding of expansive dynamical systems into symbolic dynamical systems, REP MATH PH, 46(1-2), 2000, pp. 11-14
Citations number
8
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
46
Issue
1-2
Year of publication
2000
Pages
11 - 14
Database
ISI
SICI code
0034-4877(200008/10)46:1-2<11:EOEDSI>2.0.ZU;2-D
Abstract
Let (X, d) be a compact and totally disconnected metric space, and Tan expa nsive continuous mapping on X with values in X. Then, it is shown that the expansive dynamical system (X, d, T) can be embedded into a certain symboli c dynamical system. Moreover, compactification of the family consisting of all nonexpansive mappings on a compact metric space is given.