指数矩的亚泊松估计：由整体函数支配的行列式和辛普费芬点过程下粒子对的加法函数的尾部
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
AI总结：
本文研究了由整体函数支配的行列式和辛普费芬点过程中粒子对加法函数的指数矩的亚泊松估计。
摘要：
本文的目标是估计在行列式和普费芬点过程中区间内粒子数分布的尾部。主要结果是，当行列式点过程的相关核是有限阶的整体函数时，粒子数的平方具有亚泊松尾部。在同一情况下，辛普费芬情况也成立。作为推论，还获得了加法函数对粒子的指数矩的亚泊松估计。
英文摘要：
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.
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。
