Phase transition in one-dimensional subshifts
Phase transition in one-dimensional subshifts
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一维子位移中的相变
DOI：
10.3934/dcds.2013.33.1965
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
N. Haydn
中科院分区：
文献类型：
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作者：
N. Haydn
在这篇注记中，我们给出了具有正拓扑熵的一维混合子移位的简单例子，它有两个不同的最大熵度量。我们还给出了具有两个相互奇异的平衡态的连续函数的子移位的例子，并指出了如何将这种结构推广到具有任意数目的平衡态的最大熵的例子。
In this note we give simple examples of a one-dimensional mixing subshift with positive topological entropy which have two distinct measures of maximal entropy. We also give examples of subshifts which have two mutually singular equilibrium states for H\"{o}lder continuous functions. We also indicate how the construction can be extended to yield examples with any number of measures of maximal entropy of equilibrium states.