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发表时间:2020-10-23 阅读次数:200次
报告题目: On the Hedenmalm-Shimorin estimate of short antidiagonals
报 告 人:邱彦奇 研究员
报告人所在单位:中科院数学所
报告日期:2020-10-23 星期五
报告时间:10:00-11:00
报告地点:光华楼东主楼1801, 腾讯会议ID:646 433 687
  
报告摘要:

    Based on analysis of pairs of Gaussian Analytic functions of Dirichlet type, Hedenmalm and Shimorin obtained very recently a sharp estimate of short antidiagonals for contrative operators on Hilbert space. In this talk, I will present an elementary and direct proof of such estimates and generalize the estimates to higher order tensors.  We find also an application of our work in the following problem: consider three sequences of random variables $(X_n), (Y_n), (Z_n)$, each of which is a sequence of i.i.d. Gaussian random variables, but no a priori knowledge is known on their joint distribution, what can we say about the joint moments $E(X_i Y_j Z_k)$?  This talk is based on a joint work with Yong HAN and Zipeng WANG. 

 

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本年度学院报告总序号:201

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