报告题目：Patterson-Sullivan construction for point processes and reconstruction of Hardy functions

报告人：邱彦奇  中国科学院数学与系统科学研究院

报告时间：6月5日 14:00-15:40 (Part I&II)

地点：1518

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 to recover 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 interpolation 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.