摘要翻译：
研究了复杂网络上Bouchaud-M'ezard(BM)模型的财富分配问题。数值模拟表明，这种分布依赖于网络的拓扑结构，但没有人成功地对其进行解释。利用“绝热”和“独立”假设以及中心极限定理，我们导出了确定概率分布函数的方程。并与各种网络的仿真结果进行了比较。我们发现，除了Watts-Strogatz网络的情况下，由于独立假设的破裂，我们的理论和仿真结果很好地吻合。Watts-Strogatz网络的重布线率很低。
---
英文标题：
《Wealth distribution on complex networks》
---
作者：
Takashi Ichinomiya
---
最新提交年份：
2012
---
分类信息：

一级分类：Physics        物理学
二级分类：Adaptation and Self-Organizing Systems        自适应和自组织系统
分类描述：Adaptation, self-organizing systems, statistical physics, fluctuating systems, stochastic processes, interacting particle systems, machine learning
自适应，自组织系统，统计物理，波动系统，随机过程，相互作用粒子系统，机器学习
--
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。
--
一级分类：Quantitative Finance        数量金融学
二级分类：Statistical Finance        统计金融
分类描述：Statistical, econometric and econophysics analyses with applications to financial markets and economic data
统计、计量经济学和经济物理学分析及其在金融市场和经济数据中的应用
--

---
英文摘要：
  We study the wealth distribution of the Bouchaud--M\'ezard (BM) model on complex networks. It has been known that this distribution depends on the topology of network by numerical simulations, however, no one have succeeded to explain it. Using "adiabatic" and "independent" assumptions along with the central-limit theorem, we derive equations that determine the probability distribution function. The results are compared to those of simulations for various networks. We find good agreement between our theory and the simulations, except the case of Watts--Strogatz networks with a low rewiring rate, due to the breakdown of independent assumption.
---
PDF链接：
https://arxiv.org/pdf/1209.2781