Exponential ergodicity of branching processes with immigration and competition
报告专家：李增沪（北京师范大学）
报告时间：6月24日（星期五）10:00-11:00
报告地点：腾讯会议：768-567-069
摘要： We study the ergodic property of a continuous-state branching process with immigration and competition, which is an extension of the models introduced by Pardoux (2016, Springer) and Berestycki et al. (Probab. Theory Relat. Fields, 2018) with an additional immigration structure. The exponential ergodicity in a weighted total variation distance is proved for such a process with general branching mechanism including all stable cases. The proof is based on a Markov coupling process and a non-symmetric control function for the distance, which are designed to identify and to take advantage of the dominating factor among the branching, immigration and competition mechanisms in different parts of the state space. The main result is applied to two typical choices of the distance.
This is a joint work with Peisen Li, Jian Wang and Xiaowen Zhou.
专家简介： 李增沪，北京师范大学教授、博导，国际数理统计学会会士、教育部重要人才计划、中国数学会概率统计分会主任、北京师范大学数学与复杂系统教育部重点实验室主任，曾获高等学校科学研究优秀成果奖自然科学一等奖和首届全国优秀教材基础教育类特等奖 (联合主编)。