報告人：李培森 助理教授
報告題目：Uniform ergodicity of continuous-state branching processes with immigration, predation and competition
報告時間：2025年11月15日（周六）上午9：00
報告地點：云龍校區6號樓304會議室
主辦單位：數學與統計學院、數學研究院、科學技術研究院
報告人簡介：
李培森，北京理工大學助理教授。研究方向為萊維過程和帶跳隨機積分方程解的各類性質。研究結果發表在AAP，Bernoulli，AIHP等期刊。主持國自科青年基金和面上項目各一項。
報告摘要：
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.