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Patterson-Sullivan type measure for determinantal point processes on hyperbolic disk

发布时间:2018-01-22 作者: 浏览次数:
Speaker: 邱彦奇 DateTime: 2018年1月23日(周二) 上午10:30-11:30
Brief Introduction to Speaker:

邱彦奇博士,中科院数学与系统科学研究院.

 

Place: 六号楼二楼报告厅
Abstract: A set in the disk is called a uniqueness set of the Bergman space if any Bergman function on the disk is uniquely determined by its values on this set. By using Patterson-Sullivan type construction, we show how to obtain a function in the disk algebra (which is a dense subset in the Bergman space) from its value on a realization of any determinantal point processes with conformal invariant correlation kernel. The talk is based on a joint work with Alexander Bufetov.