| 来源类型 | Article
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| 规范类型 | 其他
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| DOI | 10.3390/e15125324
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| Generalized (c,d)-entropy and aging random walks. |
| Hanel R; Thurner S
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| 发表日期 | 2013
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| 出处 | Entropy 15 (12): 5084-5596
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| 出版年 | 2013
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| 语种 | 英语
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| 摘要 | Complex systems are often inherently non-ergodic and non-Markovian and Shannon entropy loses its applicability. Accelerating, path-dependent and aging random walks offer an intuitive picture for non-ergodic and non-Markovian systems. It was shown that the entropy of non-ergodic systems can still be derived from three of the Shannon-Khinchin axioms and by violating the fourth, the so-called composition axiom. The corresponding entropy is of the form S_c,d~Sum_i Gamma(1+d, 1-c ln p_i) and depends on two system-specific scaling exponents, c and d. This entropy contains many recently proposed entropy functionals as special cases, including Shannon and Tsallis entropy. It was shown that this entropy is relevant for a special class of non-Markovian random walks. In this work, we generalize these walks to a much wider class of stochastic systems that can be characterized as "aging" walks. These are systems whose transition rates between states are path- and time-dependent. We show that for particular aging walks, S_c,d is again the correct extensive entropy. Before the central part of the paper, we review the concept of (c,d)-entropy in a self-contained way. |
| 主题 | Advanced Systems Analysis (ASA)
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| 关键词 | Non-ergodic
Extensivity
Path-dependence
Random walks with memory
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| URL | http://pure.iiasa.ac.at/id/eprint/10306/
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| 来源智库 | International Institute for Applied Systems Analysis (Austria)
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| 引用统计 |
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/129612
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推荐引用方式
GB/T 7714 |
Hanel R,Thurner S. Generalized (c,d)-entropy and aging random walks.. 2013.
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Generalized%20%28c%2Cd%29-Entropy%20and%20Aging%20Random%20Walks.pdf
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