Inhomogeneous Site Percolation on an Irregular Bethe Lattice with Random Site Distribution

讲座时间 Datetime: 

星期一, 2017/11/06 - 从 10:00 到 11:30

地点 Venue: 

海滨红楼6号楼1楼会议室

报告人 Speaker: 

任景莉

单位 Affiliation: 

郑州大学

邀请人 Host: 

赵育林

报告摘要 Abstract: 

In this talk, we study inhomogeneous site percolation on an irregular Bethe lattice, for considering that percolation often occurs on irregular grids or lattices with variable site neighbors in real-world problems. The explicit expression for cluster-size distribution of this percolation is derived based on probability theory. Moreover, the exact formulas for critical occupation probability, mean cluster size, and percolation probability are obtained using generating function method and generalized recursive approach. In addition, sensitivity analysis and numerical simulation are given to deepen and illustrate the results.