论文标题
在网络上随机步行，具有优先累积损害的网络：偏见和老化的产生
Random walks on networks with preferential cumulative damage: Generation of bias and aging
论文作者
论文摘要
在本文中，我们探讨了由于累积随机损害和不完善赔偿而导致的复杂系统功能的降低，这是一种模仿网络上的动态过程的现象。我们分析了随机步行者在网络上的扩散运动的全球特征，步行者希望在这里考虑每个链接的运输能力。这些链接容易受到产生偏见和衰老的损害。我们描述了产生损伤的算法和运输产生过渡矩阵中复杂特征值的偏差，该矩阵定义了随机助行器的不同类型的图形，包括常规，确定性和随机网络。运输的不对称性的演变是通过链接中的局部信息来量化的，并在全球尺度上（例如平均第一通道时间的矩阵和分数laplacian矩阵）进行了与传输相关的非本地信息。我们的发现表明，复杂性更长的系统寿命更长。
In this paper, we explore the reduction of functionality in a complex system as a consequence of cumulative random damage and imperfect reparation, a phenomenon modeled as a dynamical process on networks. We analyze the global characteristics of the diffusive movement of random walkers on networks where the walkers hop considering the capacity of transport of each link. The links are susceptible to damage that generates bias and aging. We describe the algorithm for the generation of damage and the bias in the transport producing complex eigenvalues of the transition matrix that defines the random walker for different types of graphs, including regular, deterministic, and random networks. The evolution of the asymmetry of the transport is quantified with local information in the links and further with non-local information associated with the transport on a global scale such as the matrix of the mean first passage times and the fractional Laplacian matrix. Our findings suggest that systems with greater complexity live longer.
