摘要翻译：
我们总结了一本正在出版的书，书名是由目前的三位作者写的，关于齐普夫定律的理论，以及更广泛的关于由比例增长机制驱动的幂律的理论。预印本可根据作者的要求提供。为了清晰、语言的一致性和简洁性，我们用企业资产价值的术语讨论了Zipf定律有效性的来源和条件。我们使用公司在实体，其规模分布将被解释。然而，应该指出的是，本书中讨论的大多数关系，特别是齐普夫定律和吉尔布拉特定律之间的密切联系，在不同的科学领域中是齐普夫定律的基础。同样的模型及其变体可以直接应用于任何其他应用领域。
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英文标题：
《Theory of Zipf's Law and of General Power Law Distributions with
  Gibrat's law of Proportional Growth》
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作者：
A. Saichev, Y. Malevergne and D. Sornette
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最新提交年份：
2008
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分类信息：

一级分类：Quantitative Finance        数量金融学
二级分类：General Finance        一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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一级分类：Physics        物理学
二级分类：Data Analysis, Statistics and Probability        数据分析、统计与概率
分类描述：Methods, software and hardware for physics data analysis: data processing and storage; measurement methodology; statistical and mathematical aspects such as parametrization and uncertainties.
物理数据分析的方法、软硬件：数据处理与存储；测量方法；统计和数学方面，如参数化和不确定性。
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一级分类：Physics        物理学
二级分类：Physics and Society        物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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英文摘要：
  We summarize a book under publication with his title written by the three present authors, on the theory of Zipf's law, and more generally of power laws, driven by the mechanism of proportional growth. The preprint is available upon request from the authors.   For clarity, consistence of language and conciseness, we discuss the origin and conditions of the validity of Zipf's law using the terminology of firms' asset values. We use firms at the entities whose size distributions are to be explained. It should be noted, however, that most of the relations discussed in this book, especially the intimate connection between Zipf's and Gilbrat's laws, underlie Zipf's law in diverse scientific areas. The same models and variations thereof can be straightforwardly applied to any of the other domains of application.
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PDF链接：
https://arxiv.org/pdf/0808.1828