报告人：李培森 助理教授
报告题目：Uniform ergodicity of continuous-state branching processes with immigration, predation and competition
报告时间：2025年11月15日（周六）上午9：00
报告地点：云龙校区6号楼304会议室
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
李培森，北京理工大学助理教授。研究方向为莱维过程和带跳随机积分方程解的各类性质。研究结果发表在AAP，Bernoulli，AIHP等期刊。主持国自科青年基金和面上项目各一项。
报告摘要：
We introduce a class of continuous-state branching processes immigration, predation and competition, which can be viewed as a combination of the classical Lotka-Volterra model and continuous-state branching processes with competition introduced by Berestycki, Fittipaldi, and Fontbona (Probab. Theory Relat. Fields, 2018). This model can be constructed as the unique strong solution to a class of two-dimensional stochastic differential equations with jumps. We establish sharp conditions for the uniform ergodicity in the total variation of this model. Our proof relies on a novel, localized Markov coupling approach, which is of its own interest in the ergodicity theory of Markov processes with interactions.