论文标题

Dobrushin-lanford-roulele定理,用于不可还原的sofic班次

A Dobrushin-Lanford-Ruelle theorem for irreducible sofic shifts

论文作者

Borsato, Luísa, MacDonald, Sophie

论文摘要

我们表明,对于在一个维度上不可还原的sofic偏移方面具有可总结变化的潜力,平衡度量恰恰是偏移不变的吉布斯度量。证明的主要工具是对有限类型的不可还原偏移的几乎可逆因子代码保存的结果,然后通过应用有关平衡度量的结果扩展到有限的代码。

We show that for a potential with summable variations on an irreducible sofic shift in one dimension, the equilibrium measures are precisely the shift-invariant Gibbs measures. The main tool in the proof is a preservation of Gibbsianness result for almost invertible factor codes on irreducible shifts of finite type, which we then extend to finite-to-one codes by applying the results about equilibrium measures.

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