报 告 人:陈夏 教授
报告题目:Parabolic Anderson model with a fractional Gaussian noise that is rough in time
报告时间:2018年6月25日(周一)下午4:00
报告时间:静远楼1506学术报告厅
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60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:
This paper concerns the parabolic Anderson equation
generated by a (d + 1)-dimensional fractional noise with the Hurst parameter with special interest in the setting that some of are less than half. In a speaker’s recent work, the case of the spatial roughness has been investigated. To put the last piece of the puzzel in place, this work investigates the case when with the concern on solvability, Feynman-Kac’s moment formula and intermittency of the system.