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Bibliographic Details
Main Authors: Kong, Fanhao, Wang, Haiyi
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.26216
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Table of Contents:
  • We extend the functional Breuer-Major theorem for Gaussians to the Poisson case, where the stationary sequence arises from a Poisson point process. We use the $L^p$ spectral gap inequality of Poisson point process as a tool to prove tightness.