報(bào)告人：李培森 助理教授

報(bào)告題目：Uniform ergodicity of continuous-state branching processes with immigration, predation and competition

報(bào)告時(shí)間：2025年11月15日（周六）上午9：00

報(bào)告地點(diǎn)：云龍校區(qū)6號(hào)樓304會(huì)議室

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

李培森，北京理工大學(xué)助理教授。研究方向?yàn)槿R維過(guò)程和帶跳隨機(jī)積分方程解的各類(lèi)性質(zhì)。研究結(jié)果發(fā)表在AAP，Bernoulli，AIHP等期刊。主持國(guó)自科青年基金和面上項(xiàng)目各一項(xiàng)。

報(bào)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.