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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 ℤ<superscript>2</superscript> 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 :
Complementary 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