论文标题
分数网络中的远程连接和混合扩散
Long-range connections and mixed diffusion in fractional networks
论文作者
论文摘要
具有远距离连接的网络遵守足够小的指数的距离依赖性功率定律显示超截留，莱维航班和稳健性属性与无标度网络截然不同。已经提出，这些网络在社会和生物学中都被归类为一种新结构，即分数网络。特别重要的例子是社交网络和模块化分层的大脑网络，那里存在短期和远程连接。在这里研究了这些网络的异常超级延伸和混合扩散行为，及其与远程连接的性质和密度的关系。
Networks with long-range connections obeying a distance-dependent power law of sufficiently small exponent display superdiffusion, Lévy flights and robustness properties very different from the scale-free networks. It has been proposed that these networks, found both in society and biology, be classified as a new structure, the fractional networks. Particular important examples are the social networks and the modular hierarchical brain networks where both short- and long-range connections are present. The anomalous superdiffusive and the mixed diffusion behavior of these networks is studied here as well as its relation to the nature and density of the long-range connections.
