报告题目： Inhomogeneous Percolation on Multilayer Networks 

报告时间：2019年4月26日，星期五，下午4:00-5:00

报告地点：数学楼2-3会议室

报告人: 任景莉 教授

报告摘要：

A generalization of high order inhomogeneous bond percolation is studied on a multilayerfinite fixed network (MFFN) and a multilayer infinite random network (MIRN). The inhomogeneous bond percolation means that edges in different layers are occupied or removed with distinct probabilities, independently and randomly. Firstly, an analytical approach to simplify the inhomogeneous bond percolation on MFFN is presented, by decomposing the layers into disjoint ones, fusing inhomogeneous bond percolation process and combining weighted layers together to form a monolayer network. Then employing generalized recursive approach, discrete-time dynamical system analysis and fixed point iteration method, we derive the results for percolating probability and the critical occupation probability, demonstrate the percolation transition and critical phenomenon of inhomogeneous bond percolation on these two networks. It is found that, for inhomogeneous bond percolation on MFFN, the high fraction of intersection speeds up the percolating process; for inhomogeneous bond percolation on MIRN, the increasing mean degree will enlarge the supercritical region and enhance the intensity of percolating process.

报告人简介：

任景莉，郑州大学数学与统计学院教授，博士生导师。研究方向为应用数学，在Acta Mater.、Appl. Phys. Lett.、J. Stat. Phys., J. Nonlinear Sci., Phys. Rev. B和Phys. Rev. E.等数学、物理、材料类期刊发表SCI论文七十多篇，其中2019年发表在Sci. China Mater.的一篇文章被作为封面重点推介。德国洪堡学者，教育部新世纪优秀人才，中国工业与应用数学学会理事，Discrete and Continuous Dynamical Systems-S编委。主持完成国家自然科学基金及省人才项目十余项，获河南省科技进步二等奖两项（均为第一完成人）。