报告题目:复杂网络上的非均匀渗流
报告时间:2019年04月12日 10:50-11:50 (上午)
报告地点:我院3401
报告人: 郑州大学 任景莉教授
个人简介:任景莉,郑州大学数学与统计学院教授,博士生导师,河南省特聘教授。教育部新世纪优秀人才,德国洪堡学者,河南省学术带头人。中国工业与应用数学学会理事。SCI期刊Discrete and Continuous Dynamical Systems-S编委。研究方向为应用数学和常微分方程,在Acta Mater., J. Nonlinear Sci., J. Stat. Phys., Phys. Rev. B, Phys. Rev. E 和Sci. Rep. 等数学、材料、物理或综合类期刊发表SCI论文七十多篇。获2014年和2017年河南省科技进步二等奖(第一完成人)和河南省青年科技奖。
摘要: 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.