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摘要翻译：
程式化的事实可以被视为对金融市场上价格动态的任何建模尝试的约束，因为一个经验上合理的模型必须至少在定性上再现这些程式化的事实。市场价格的动态是两个动态成分动态耦合的结果，在宏观层面上被建模。它们的动态解耦程度对收益率试验的随机性质有显著影响，如收益率分布、波动性聚类以及资产收益率时间尺度的多重分形行为。特别地，当解耦程度增加时，我们观察到收益分布从类高斯型向类利维型的交叉。同时，解耦程度越大，波动性聚类越明显。这些发现表明，一般经济系统中的时间考虑和构成过程的耦合对于理解金融市场的行为是必不可少的。
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英文标题：
《Dynamics on/in financial markets: dynamical decoupling and stylized
facts》
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作者：
Stefan Reimann and Andreas Tupak
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最新提交年份：
2010
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分类信息：
一级分类：Quantitative Finance 数量金融学
二级分类：Computational Finance 计算金融学
分类描述：Computational methods, including Monte Carlo, PDE, lattice and other numerical methods with applications to financial modeling
计算方法，包括蒙特卡罗，偏微分方程，格子和其他数值方法，并应用于金融建模
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英文摘要：
Stylized facts can be regarded as constraints for any modeling attempt of price dynamics on a financial market, in that an empirically reasonable model has to reproduce these stylized facts at least qualitatively. The dynamics of market prices is modeled on a macro-level as the result of the dynamic coupling of two dynamical components. The degree of their dynamical decoupling is shown to have a significant impact on the stochastic properties of return trials such as the return distribution, volatility clustering, and the multifractal behavior of time scales of asset returns. Particularly we observe a cross over in the return distribution from a Gaussian-like to a Levy-like shape when the degree of decoupling increases. In parallel, the larger the degree of decoupling is the more pronounced is volatility clustering. These findings suggest that the considerations of time in an economic system, in general, and the coupling of constituting processes is essential for understanding the behavior of a financial market.
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PDF链接：
https://arxiv.org/pdf/1004.1522
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