Gaussian random fields on the sphere: some probabilistic and statistical properties

Venue：Room 306 Ouyang Chunmei Building, Yuquan Campus

Abstract：

Let T(x), x\in S^2 be a real-valued Gaussian random field,  where  S^2 is the unit sphere in R^3. This talk is concerned with probabilistic and statistical properties of T. When T is isotropic, we show that many properties of T(x) such as regularity, geometric properties of the sample function x→T(x)  are explicitly determined by the high-frequency behavior of its angular power spectrum. 

Moreover, optimal bounds for the prediction errors of the spherical Gaussian field T are derived.  

Contact Person: SU Zhonggen(suzhonggen@zju.edu.cn)