Specification and Towers in Shift Spaces
Specification and Towers in Shift Spaces
复制标题
轮班空间的规格和塔
DOI：
10.1007/s00220-018-3265-y
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发表时间：
2015
影响因子：
2.4
通讯作者：
V. Climenhaga
中科院分区：
文献类型：
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作者：
V. Climenhaga
我们证明了有限字母上具有非均匀规定性的位移空间可以用一个强正循环可数态马尔可夫位移来建模，其中每个平衡态都提升到这个马尔可夫位移。除了平衡态的唯一性外，它还给出了强大的统计性质，包括伯努利性质、相关的指数衰减、中心极限定理和压力的分析性，这些都是统一规范的新特性。我们给出了准有限型位移、同步和编码位移、位移因子和间隙位移的应用。
We show that a shift space on a finite alphabet with a non-uniform specification property can be modeled by a strongly positive recurrent countable-state Markov shift to which every equilibrium state lifts. In addition to uniqueness of the equilibrium state, this gives strong statistical properties including the Bernoulli property, exponential decay of correlations, central limit theorem, and analyticity of pressure, which are new even for uniform specification. We give applications to shifts of quasi-finite type, synchronised and coded shifts, and factors of-shifts andS-gap shifts.