報 告 人：陳夏 教授

報告題目：Intermittency for hyperbolic Anderson models with time-independent Gaussian noise

報告時間：2025年6月6日（周五）下午4：00

報告地點：泉山校區(qū)6號樓207

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

報告人簡介：

      陳夏，美國田納西大學(xué)教授。研究方向為隨機(jī)軌道局部相交時的大偏差理論、KPZ方程和PAM模型等。已發(fā)表論文專著70余篇，其中在概率頂尖雜志《Annals of Probability》發(fā)表論文十多篇。出版專著兩部。2008年被評為國際數(shù)理統(tǒng)計協(xié)會（IMS）的會員。多次擔(dān)任美國國家自然科學(xué)基金評審委員。多次應(yīng)邀在國際會議作報告。

報告摘要：

             Intuitively, inttermittency refers to a state of the system with random noise in which the high peak is rare but real. In mathematics, it can be described in terms of moment asymptotics of the system. Compared to the parabolic Anderson equation, the inttermittency for hyperbolic An derson equation is much harder and less investigated due to absence of Feynman-Kac formula that links the parabolic Anderson equation to Brownian motions. I will report some recent progress in the regimes of Stratonovich. In particular, I will show how the large deviation technique is combined with Laplace-Fourier transforms and Malliavin calculus to achieve the precise moment asymptotics. The talk is based on part of a collaborating work joint with Hu, Y. Z. and has been accepted by Ann. Probab.