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原文連結
論文資訊
- 類型：已發表論文
- 日期：2015-04-13
摘要
History-dependent processes are ubiquitous in natural and 社會 systems. Many such 隨機 processes, especially those that are associated with 複雜系統s, become more constrained as they unfold, meaning that their sample space, or their set of possible outcomes, reduces as they age. We demonstrate that these sample-space-reducing (SSR) processes necessarily lead to Zipf's law in the rank distributions of their outcomes. We show that by adding noise to SSR processes the corresponding rank distributions remain exact 冪次定律s, p(x)similar to x(-lambda), where the exponent directly corresponds to the mixing ratio of the SSR process and noise. This allows us to give a precise meaning to the 縮放律 exponent in terms of the degree to which a given process reduces its sample space as it unfolds. Noisy SSR processes
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