報(bào)告人：魏茸 博士

報(bào)告題目：Large deviations of reflected weakly interacting particle systems

報(bào)告時(shí)間：2025年11月8日（周六）上午 9：30

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：

魏茸，安徽師范大學(xué)講師，2022年博士畢業(yè)于中國(guó)科學(xué)技術(shù)大學(xué)。已在Bernoulli， Proceedings of the American Mathematical Society，中國(guó)科學(xué):數(shù)學(xué)，Acta Mathematicae Applicatae Sinica, English Series等國(guó)內(nèi)外雜志上發(fā)表論文數(shù)篇。主持國(guó)家自然科學(xué)青年基金項(xiàng)目1項(xiàng)。

報(bào)告摘要：

In this paper, we prove a large deviation principle for the empirical measures of a system of weakly interacting diffusions with reflection. We adopt the weak convergence approach. To make this approach work, we show that the sequence of empirical measures of the controlled reflected system will converge to the weak solution of an associated reflected McKean-Vlasov equation.