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arXiv 1602.08340math.DSmath.CO
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热力学形式与$k$ -Bonacci置换

Thermodynamic formalism and $k$-bonacci substitutions

Jordan Emme

摘要:

我们研究了$k$ -Bonacci取代。对于每一个,我们定义了一个重正化算子与它相关联,并检查其迭代在一定的类的潜力。我们还研究了压力函数在这一类的潜力,并证明了存在的冻结相变,这是实现了唯一的遍历措施的subshift相关的替代。

英文摘要:

We study $k$-bonacci substitutions. For each we define a renormalization operator associated to it and examine its iterates over potentials in a certain class. We also study the pressure function associated to potentials in this class and prove the existence of a freezing phase transition which is realized by the only ergodic measure on the subshift associated to the substitution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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