报 告 人：陈夏 教授
报告题目：Intermittency for hyperbolic Anderson models with time-independent Gaussian noise
报告时间：2025年6月6日（周五）下午4：00
报告地点：泉山校区6号楼207
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：
陈夏，美国田纳西大学教授。研究方向为随机轨道局部相交时的大偏差理论、KPZ方程和PAM模型等。已发表论文专著70余篇，其中在概率顶尖杂志《Annals of Probability》发表论文十多篇。出版专著两部。2008年被评为国际数理统计协会（IMS）的会员。多次担任美国国家自然科学基金评审委员。多次应邀在国际会议作报告。
报告摘要：
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.