Patterson-Sullivan construction for point processes and reconstruction of Hardy functions

浙江大学数学科学学院九十周年院庆系列活动之二十七

报告人:   邱彦奇 (中科院数学所)

题  目： Patterson-Sullivan construction for point processes and reconstruction of Hardy functions

时  间:  2018年6月16日(周六) 13:30-14:30

地  点:  浙江大学玉泉校区欧阳楼220

摘  要：

     In joint work with Alexander Bufetov, we show that the classical Patterson-Sullivan construction can be generalized to the random setting in the theory of point processes.  This construction allows us torecover the value of any Hardy function at any point of the disc from its restriction to a random configuration of the determinant point process with the Bergman kernel. This extrapolation 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 spaces.

联系人：叶和溪（yehexi@zju.edu.cn）

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