【数学学院】Patterson-Sullivan construction for random point processes and the reconstruction of harmonic functions.

报告题目: Patterson-Sullivan construction for random point processes and the reconstruction of harmonic functions.

报告摘要:In a recent joint work with Alexander Bufetov, we show that the classical Patterson-Sullivan construction 

in conformal dynamical system can be generalized to the random setting in the theory of point processes. This 

construction allows us to recover the value of any harmonic function with additional regularity at any point of 

the disc from its restriction to a random configuration of the determinant point process with the Bergman kernel. 

Similar result is then extended to real and complex hyperbolic spaces of higher dimension. Recovering continuous 

functions by the Patterson-Sullivan construction is also shown to be possible in more general Gromov hyperbolic 

space.

报告人: 邱彦奇(中科院系统与数学科学研究院)

报告时间: 2018年10月24日10:00-11:00

报告地点: 数学学院东409

来源链接：http://math.scu.edu.cn/info/1062/4025.htm