确定性点过程的线性统计和规范表示

Pub Date : 2024-09-06 DOI:10.1093/imrn/rnae182

Matteo Levi, Jordi Marzo, Joaquim Ortega-Cerdà

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引用次数: 0

摘要

我们研究球面和欧几里得空间上行列式点过程的光滑和粗糙线性统计波动的渐近行为。主要工具是对索博列夫空间和有界变化函数空间中函数的一些规范表示结果的概括。

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Linear Statistics of Determinantal Point Processes and Norm Representations

We study the asymptotic behavior of the fluctuations of smooth and rough linear statistics for determinantal point processes on the sphere and on the Euclidean space. The main tool is the generalization of some norm representation results for functions in Sobolev spaces and in the space of functions of bounded variation.

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