学术报告


时间：2018年9月19日下午  3：00---4：00

地点：数学楼二楼学术报告厅

报告人：邱彦奇 （中国科学院数学与系统科学研究院）

摘要：In joint work with Alexander Bufetov, weshow that the classical Patterson-Sullivan construction can be generalizedto the random setting in the theory of point processes.  Thisconstruction allows us to recover the value of any harmonic function withadditional regularity at any point of the disc from its restriction to a randomconfiguration of the determinant point process with the Bergman kernel. Thisresult is then extended to real and complex hyperbolic spaces of higherdimension. Recovering continuous functions by the Patterson-Sullivanconstruction is also shown to be possible in more general Gromovhyperbolic spaces.