Mixing property and entropy conjugacy of Z2 subshift of finite type: a case study

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.