时间 | 地点 | 主讲人 | 主题 | 主要内容 | 参与活动的 专职教师 |
5月25日 16：00-16：40 | 腾讯会议：387-717-628 | 教师：王旭东 个人简介：男，汉族，2020年10月入职，现为中共党员，数学与统计学院概率统计系讲师，主要从事反常扩散方面的工作，研究概率论与随机过程在统计物理领域的应用。 | Anomalous diffusion and ergodic property of random diffusivity models | Brownian yet non-Gaussian diffusion has recently been observed in numerous biological and active matter system. The cause of the non-Gaussian distribution have been elaborately studied in the idea of a superstatistical dynamics or a diffusing diffusivity. Based on a random diffusivity model, we here focus on the ergodic property and the scatter of the amplitude of time-averaged mean-squared displacement. Our results are valid for arbitrary random diffusivity. | 杨传富 |
5月25日 16：50-17：30 | 腾讯会议：387-717-628 | 徐新建博士 | Inverse spectral problems for radial Schrödinger operators | We study an inverse eigenvalue problem for the radial Schrödinger operators on the unit interval. We obtain a sufficient condition for the unique specification of the operator by a set of eigenvalues and a part of the potential function in terms of the cosine system closedness. The Borg-type and the Hochstadt-Lieberman type results are obtained as corollaries of our main result. Furthermore, under an additional hypothetical condition, we show that our condition is not only sufficient but also necessary for the uniqueness of the inverse problem solution. | 杨传富 |
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