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原文連結
論文資訊
- 類型：已發表論文
- 日期：2018-03-01
摘要
The meromorphic functional calculus developed in Part I overcomes the nondiagonalizability of linear operators that arises often in the temporal 演化 of 複雜系統s and is generic to the metadynamics of predicting their behavior. Using the resulting spectral decomposition, we derive closed-form expressions for correlation functions, finite-length Shannon 熵-rate approximates, asymptotic 熵 rate, excess 熵, transient 資訊, transient and asymptotic state uncertainties, and 同步化 資訊 of 隨機 processes generated by finite-state hidden 馬可夫 models. This introduces analytical tractability to investigating 資訊 processing in discrete-event 隨機 processes, symbolic dynamics, and chaotic dynamical systems. Comparisons reveal 數學 similarities between complexity measures originally thought to capture distinct 資訊al and 計算 pr
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