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數統學院學術沙龍活動公告

2022-05-23來源:數統學院作者:戴佳華審核人:齊玉輝編輯:袁好雨閱讀:10

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專職教師

525

1600-1640

 騰訊會議:387-717-628

教師:王旭東

個人簡介:男,漢族,202010月入職,現為中共黨員,數學與統計學院概率統計系講師,主要從事反常擴散方面的工作,研究概率論與隨機過程在統計物理領域的應用。

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.

楊傳富

525

1650-1730

 騰訊會議:387-717-628

徐新建博士

 Inverse spectral problems for radial Schr?dinger operators

 We study an inverse eigenvalue problem for the radial Schr?dinger 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.

楊傳富



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