報告題目：Patterson-Sullivan construction for random point processes

報告人：邱彥奇研究員(中科院數學與系統科學研究院)

報告時間：2020年12月15日，星期二，19:00-21:00

報告地點：數學院138

報告摘要：

In this talk, the Patterson-Sullivan construction in the setting of random point processes will be discussed. We will talk about the result of the reconstruction of harmonic functions in one dimension unit disk and pluriharmonic functions in higher dimension complex unit ball considered as the hyperbolic spaces from evaluation in a random discrete subsets. In particular, a necessary and sufficient condition for a certain uniform law of large numbers is established.

報告人簡介：邱彥奇，中科院數學與系統科學研究院。研究方向為概率論，遍歷理論，隨機矩陣等。其學術成果發表在國際權威期刊Probab. Theory Related Fields，Math. Ann.，Comm. Math. Phys.，Adv. Math.等。