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• W3084062328 abstract "In this paper, we describe the relationship between the Perron root and eigenvectors of an aperiodic subshift of finite type with the correlation between the forbidden words. In particular, we derive an expression for the Perron eigenvectors of the associated adjacency matrix. As an application, we obtain the Perron eigenvectors for aperiodic $(0,1)$ matrices which are adjacency matrices for directed graphs. Moreover, we derive an alternate definition of the well-known Parry measure on an aperiodic subshift of finite type. We use the concept of the local escape rate to obtain this definition." @default.
• W3084062328 created "2020-09-14" @default.
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• W3084062328 date "2020-05-07" @default.
• W3084062328 modified "2023-09-27" @default.
• W3084062328 title "On the Perron root and eigenvectors associated with a subshift of finite type" @default.
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