图书和音乐"销售"中的内生与外源冲击和放松率
Endo- vs. Exo-genous shocks and relaxation rates in book and music "sales"
摘要：
在本文中，我们分析了音乐和图书销售的外部场和买方羊群效应的反应。我们区分了内源性和外源性冲击。本文重点介绍了一些案例研究，其数据来源于亚马逊网站的排名。我们表明，等效系统的合奏定量响应类似的方式类似的“外部冲击”，指示道路的普遍性特征。与Sornette等人[Phys. Rev. Lett. {93}，228701（2004）]，他似乎发现了幂律行为，特别是在长时间内，-一个法律解释的流行病活动，我们观察到，松弛过程也可以看作是一个指数饱和的渐近状态，本身不同于冲击前的状态。通过研究111冲击，在书籍或记录的合奏，我们表明，外源性和内源性冲击的歧视，他们的短时间的行为：松弛时间似乎是两倍短的内源性冲击比外源性的。我们通过一个简单的热力学模型与耗散力解释的发现。
英文摘要：
In this paper, we analyze the response of music and book sales to an external field and to buyer herding. We distinguish endogenous and exogenous shocks. We focus on some case studies, whose data have been collected from ranking on amazon.com. We show that an ensemble of equivalent systems quantitatively respond in a similar way to a similar ''external shock'', indicating roads to universality features. In contrast to Sornette et al. [Phys. Rev. Lett. {93}, 228701 (2004)] who seemed to find power law behaviors, in particular at long times, - a law interpreted in terms of an epidemic activity, we observe that the relaxation process can be as well seen as an exponential one that saturates toward an asymptotic state, itself different from the pre-shock state. By studying an ensemble of 111 shocks, on books or records, we show that exogenous and endogenous shocks are discriminated by their short-time behaviour: the relaxation time seems to be twice shorter in endogenous shocks than in exogenous ones. We interpret the finding through a simple thermodynamic model with a dissipative force.
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