复杂网络与对称性II：世界贸易的互惠与演化
Complex Networks and Symmetry II: Reciprocity and Evolution of World Trade
摘要：
我们利用对称性的概念，本文的同伴回顾中介绍了一个随机版本的链接反转对称性，这导致了一个更好的理解有向网络的互易性。我们应用我们的形式主义的国际贸易网络，并表明，一个强大的嵌入在经济空间确定特定的对称性的网络，而观察到的互惠性的演变是一致的对称性发生在生产空间。我们的研究结果表明，网络可以强烈地影响嵌入空间中发生的破坏性现象，随机网络对称性可以成功地建议，或排除，可能的潜在机制。
英文摘要：
We exploit the symmetry concepts developed in the companion review of this article to introduce a stochastic version of link reversal symmetry, which leads to an improved understanding of the reciprocity of directed networks. We apply our formalism to the international trade network and show that a strong embedding in economic space determines particular symmetries of the network, while the observed evolution of reciprocity is consistent with a symmetry breaking taking place in production space. Our results show that networks can be strongly affected by symmetry-breaking phenomena occurring in embedding spaces, and that stochastic network symmetries can successfully suggest, or rule out, possible underlying mechanisms.
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