A Blume-Emery-Griffths three components system in which one component is randomly distributed and the other two components are forming sublattice ordering is studied using the pair correlation approximation. The phase diagrams in different typical interaction energy regions are calculated and...

The kinetics of ordering for a ternary system on the square lattice is investigated by means of the micro-master equation method in the pair approximation. The evolutions of the long-range order and short-range order parameters are calculated. There are transient ordered states during the...

Quantitative understanding of human movement behaviors would provide helpful insights into the mechanisms of many socioeconomic phenomena. In this paper, we investigate human mobility patterns through analyzing taxi-trace datasets collected from five metropolitan cities in two countries. We...

A fuzzy overlapping community is an important kind of overlapping community in which each node belongs to each community to different extents. It exists in many real networks but how to identify a fuzzy overlapping community is still a challenging task. In this work, the concept of local random...

In recent studies of the complex network, most of the community detection methods only consider the network topological structure without background information. This leads to a relatively low accuracy. In this paper, a novel semi-supervised community detection algorithm is proposed based on the...

It is shown that the Fokker-Planck equations with linear drift γx and nonlinear drift γx + δx, i.e. the Rayleigh process, have exact symmetries on their own solution manifolds, the sl(2, R) ⊗ Weyl algebra and the sl(2, R) ⊗ I, respectively. The symmetries of these two types of processes...