Mean first return time for random walks on weighted networks

作者：Jing, Xing Li; Ling, Xiang; Long, Jiancheng; Shi, Qing; Hu, Mao Bin^*

来源：International Journal of Modern Physics C, 2015, 26(6): 1550068.

DOI：10.1142/S0129183115500680

• Mean first return time
• random walks
• weighted networks

Random walks on complex networks are of great importance to understand various types of phenomena in real world. In this paper, two types of biased random walks on nonassortative weighted networks are studied: edge-weight-based random walks and node-strength-based random walks, both of which are extended from the normal random walk model. Exact expressions for stationary distribution and mean first return time (MFRT) are derived and examined by simulation. The results will be helpful for understanding the influences of weights on the behavior of random walks.

• 出版日期2015-6
• 单位合肥工业大学