点过程的衍射理论:具有聚块和排斥的系统
Diffraction Theory of Point Processes: Systems with Clumping and Repulsion
摘要:
我们讨论了几个点过程的例子(都来自Hough,Krishnapur,Peres,Virág(2009)),可以显式计算自相关和衍射测度。这些包括某些类的行列式和永久点过程,以及等距不变点过程,出现作为零集的高斯随机解析函数。
英文摘要:
We discuss several examples of point processes (all taken from Hough, Krishnapur, Peres, Virág (2009)) for which the autocorrelation and diffraction measures can be calculated explicitly. These include certain classes of determinantal and permanental point processes, as well as an isometry-invariant point process that arises as the zero set of a Gaussian random analytic function.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。