聖塔非研究所

摘要 We study dynamical reversibility in stationary 隨機

2011 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We study dynamical reversibility in stationary 隨機 processes from an 資訊 theoretic perspective. Extending earlier work on the reversibility of 馬可夫 chains, we focus on finitary processes wit…

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  • 類型:已發表論文
  • 日期:2011

摘要

We study dynamical reversibility in stationary 隨機 processes from an 資訊-theoretic perspective. Extending earlier work on the reversibility of 馬可夫 chains, we focus on finitary processes with arbitrarily long conditional correlations. In particular, we examine stationary processes represented or generated by edge-emitting, finite-state hidden 馬可夫 models. Surprisingly, we find pervasive temporal asymmetries in the statistics of such stationary processes. As a consequence, the 計算 resources necessary to generate a process in the forward and reverse temporal directions are generally not the same. In fact, an exhaustive survey indicates that most stationary processes are irreversible. We study the ensuing relations between model topology in different representations, the process's 統計 properties, a

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