报告题目:The random Patterson-Sullivan interpoltation for harmonic functions in complex hyperbolic spaces
报告时间:2021年4月1日, 15:00-16:00
报告地点:精正楼二楼学术报告厅
报告人:邱彦奇(中科院数学所)
报告摘要:
We will talk about the Patterson-Sullivan interpolation for harmonic functions on complex hyperbolic spaces
in the setting of random point processes. More precisely, we will discuss 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 their evaluations in a random discrete subset. In joint work with Alexander Bufetov, a necessary and sufficient condition
for a certain uniform law of large numbers and optimal reconstruction in the setting of weighted Bergman spaces are established.
邀请人:史恩慧