聖塔非研究所

摘要 Sample space reducing (SSR) processes offer a sim

2018 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Sample space reducing (SSR) processes offer a simple analytical way to understand the origin and ubiquity of power laws in many path dependent 複雜系統s. SRR processes show a wide range of ap…

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  • 類型:已發表論文
  • 日期:2018

摘要

Sample space reducing (SSR) processes offer a simple analytical way to understand the origin and ubiquity of power-laws in many path-dependent 複雜系統s. SRR processes show a wide range of applications that range from fragmentation processes, 語言 formation to search and cascading processes. Here we argue that they also offer a natural framework to understand stationary distributions of generic driven non-equilibrium systems that are composed of a driving- and a relaxing process. We show that the statistics of driven non-equilibrium systems can be derived from the understanding of the nature of the underlying driving process. For constant driving rates exact power-laws emerge with exponents that are related to the driving rate. If driving rates become state-dependent, or if they vary across the

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