澳门金沙网址

科学研究
报告题目:

On the Hedenmalm-Shimorin estimate of short anti diagonals

报告人:

邱彦奇 研究员(中国科学院数学所)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

Based on analysis of pairs of jointly 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.