聖塔非研究所

摘要 We introduce an ambidextrous view of 隨機 dynamical

2009 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We introduce an ambidextrous view of 隨機 dynamical systems, comparing their forward time and reverse time representations and then integrating them into a single time symmetric representat…

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論文資訊

  • 類型:已發表論文
  • 日期:2009

摘要

We introduce an ambidextrous view of 隨機 dynamical systems, comparing their forward-time and reverse-time representations and then integrating them into a single time-symmetric representation. The perspective is useful theoretically, 計算ly, and conceptually. 數學ly, we prove that the excess 熵-a familiar measure of organization in 複雜系統s-is the mutual 資訊 not only between the past and future, but also between the predictive and retrodictive causal states. Practically, we exploit the connection between prediction and retrodiction to directly calculate the excess 熵. Conceptually, these lead one to discover new system measures for 隨機 dynamical systems: crypticity (資訊 accessibility) and causal irreversibility. Ultimately, we introduce a time-symmetric representation that unifies all of these quantiti

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