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MIXING PROPERTY AND ENTROPY CONJUGACY OF ℤ2 SUBSHIFT OF FINITE TYPE:: A CASE STUDY.

Authors :
JUNG-CHAO BAN
SZU-YU LIN
YIN-HENG LIN
Source :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Sep2009, Vol. 19 Issue 9, p2979-2991. 13p. 2 Diagrams.
Publication Year :
2009

Abstract

In the paper, the mixing property of ℤ2 subshift of finite type (SFT) is studied, some checkable conditions are provided to examine the property of mixing. Once the mixing property is checked, a class of examples can be found to show it possesses an entropy conjugacy property proposed in [Quas & Trow, 2000]. Finally, we construct an example of two shift spaces X and Y that are entropy conjugate but not conjugate. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02181274
Volume :
19
Issue :
9
Database :
Academic Search Index
Journal :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :
Academic Journal
Accession number :
47022903
Full Text :
https://doi.org/10.1142/S0218127409024591