报告时间：5月21日上午9:30-10:30

报告地点：下沙校区教学D104（理学院党员之家）

报告摘要：

Random fields are not only important in probability and statistics, but also widely applied as stochastic models in many scientific areas, including physics, engineering, operations research, geophysical science, agricultural sciences, environmental sciences, just to mention a few. These applications, in turn, have raised many interesting and often challenging questions for mathematicians and statisticians.

In this talk, we will give an introduction on random fields and provide various examples of their applications, ranging from turbulence to brain imaging, from finance to geophysical science, and to cosmology. We will discuss statistically significant properties of random fields including self-similarity and long range dependence. We will show that mathematical tools from harmonic analysis, topology and geometry are useful for studying the rich probabilistic and statistical properties of random fields.