Sub-Poissonian Estimates for Exponential Moments of Additive Functionals over Pairs of Particles with Respect to Determinantal and Symplectic Pfaffian Point Processes Governed by Entire Functions

IF 0.6 4区数学 Q3 MATHEMATICS

Moscow Mathematical Journal Pub Date : 2023-12-31 DOI:10.17323/1609-4514-2023-23-4-463-478

A. Bufetov

引用次数: 0

Abstract

The aim of this note is to estimate the tail of the distribution of the number of particles in an interval under determinantal and Pfaffian point processes. The main result of the note is that the square of the number of particles under the determinantal point process whose correlation kernel is an entire function of finite order has sub-Poissonian tails. The same result also holds in the symplectic Pfaffian case. As a corollary, sub-Poissonian estimates are also obtained for exponential moments of additive functionals over pairs of particles.

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关于由全函数控制的确定性和交映性普法非点过程的粒子对上加法函数指数矩的亚普法非估计值

本论文的目的是估计行列式点过程和普法因子点过程下区间内粒子数分布的尾部。本论文的主要结果是，在相关核为有限阶全函数的行列式点过程下，粒子数的平方具有亚泊松尾。同样的结果在交点普法因子情况下也成立。作为推论，对粒子对的加法函数的指数矩也得到了亚泊松估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Moscow Mathematical Journal 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Moscow Mathematical Journal (MMJ) is an international quarterly published (paper and electronic) by the Independent University of Moscow and the department of mathematics of the Higher School of Economics, and distributed by the American Mathematical Society. MMJ presents highest quality research and research-expository papers in mathematics from all over the world. Its purpose is to bring together different branches of our science and to achieve the broadest possible outlook on mathematics, characteristic of the Moscow mathematical school in general and of the Independent University of Moscow in particular. An important specific trait of the journal is that it especially encourages research-expository papers, which must contain new important results and include detailed introductions, placing the achievements in the context of other studies and explaining the motivation behind the research. The aim is to make the articles — at least the formulation of the main results and their significance — understandable to a wide mathematical audience rather than to a narrow class of specialists.