摘要 複雜系統s are often inherently non 遍歷 and non 馬可夫ian

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論文資訊

• 類型：已發表論文
• 日期：2013-12-03

摘要

複雜系統s are often inherently non-遍歷 and non-馬可夫ian and Shannon 熵 loses its applicability. Accelerating, path-dependent and aging random walks offer an intuitive picture for non-遍歷 and non-馬可夫ian systems. It was shown that the 熵 of non-遍歷 systems can still be derived from three of the Shannon-Khinchin axioms and by violating the fourth, the so-called composition axiom. The corresponding 熵 is of the form S-c,S-d similar to Sigma(i) Gamma(1 + d, 1 - c ln p(i)) and depends on two system-specific 縮放律 exponents, c and d. This 熵 contains many recently proposed 熵 functionals as special cases, including Shannon and Tsallis 熵. It was shown that this 熵 is relevant for a special class of non-馬可夫ian random walks. In this work, we generalize these walks to a much wider class of 隨機 systems that can be char

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