加入收藏夹
联系我们
关于本站
个人主页
西电导航
西安电子科技大学
    当前位置:首页>>学术讲座
Limit theorems for random processes with immigration at the epochs of a renewal process
时间:2018-12-22 16:14    点击:   所属单位:数学与统计学院
讲座名称 Limit theorems for random processes with immigration at the epochs of a renewal process
讲座时间 2018-12-25 14:00:00
讲座地点 西电南校区信远楼II206数统院报告厅
讲座人 Alexander Iksanov
讲座人介绍
Professor Iksanov is the Associate Editor of the journal "Theory of Stochastic Processes" and the member of two research councils in Kyiv for PhD and habilitation defenses. Since 2001, Dr. Iksanov has been a recipient of numerous fellowships granted by Austria, France, Germany, Great Britain, Lithuania, the Netherlands, Poland, and so on. In June of 2017 he delivered a 48-hour graduate course at Xidian University titled Elements of Renewal Theory with Applications.
According to Mathscinet, professor Iksanov is the author of 78 publications. In terms of Google Scholar his h-index is 19, the number of citations is 1152. He has published 2 monographs, written over 10 lecture notes, and authored more than 70 research articles in various international probability journals such as Annals of Probability, Annals of Applied Probability, Bernoulli, Stochastic Processes and Their Applications, Electronic Communications in Probability, Electronic Journal of Probability, etc.
In 2018 the research scope of professor Iksanov includes:
(1)Random Discrete Structures (Random Compositions, Coalescents, Branching Random Walk with Complex Parameter etc.);
(2)Functional Limit Theorems;
(3)Random Processes with Immigration;
(4)Random Walk in a Sparse Random Environment; and
(5)Applications of the Renewal Theory.

 
讲座内容
 I shall talk about random processes with immigration at the epochs of a renewal process. This class of random processes which alternatively may be called renewal shot-noise(散粒噪声/散弹噪声:通信设备中的有源器件(如电真空管)中,由于电子发射不均匀性所引起的噪声;由Schottky于1918年研究此类噪声时,用子弹射入靶子时所产生的噪声得名) processes with random response functions includes perpetuities, branching processes with immigration, the number of busy servers in the GI/G/infinity queue and many others.
I shall discuss one limit theorem in which the processes, properly rescaled, converge weakly in the Skorokhod space endowed with the J1-topology without normalization and centering. The limit processes are stationary processes with immigration.
              主办单位:数学与统计学院
       国际交流合作处
转载请注明出处:西安电子科技大学学术信息网
如果您有学术信息或学术动态,欢迎投稿。我们将在第一时间确认并收录,投稿邮箱: meeting@xidian.edu.cn
Copyright © 2011-2019 西安电子科技大学 
开发维护:电子工程学院网络信息中心  管理员:meeting@xidian.edu.cn 站长统计: