中科院数学与系统科学研究院

数学研究所

动力系统研究中心

学术报告会

报告人：Prof. Yanqi Qiu(CNRS and University of Toulouse, France)

题  目：Tail triviality of determinantal point process 

时  间：2016.11.23（星期三）, 10:00-11:00

地  点：数学院南楼N913室

Abstract:

    In probability theory, the Kolmogorov 0-1 law plays an important role. In this talk, I will introduce the Kolmogorov 0-1 law in the setting of determinantal point processes. We recently proved that all determinantal point processes with self-adjoint correlation kernels satisfy the Kolmogorov 0-1 law. Our proof works in full generality and covers all the previous progresses in this direction. The crucial ingredient in our proof is the construction of operator-valued martingales.  The talk is based on a recent joint work with Alexander Bufetov and Alexander Shamov.