A functional Breuer-Major theorem with Poisson noise
Probability
2025-10-31 v1
Abstract
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 spectral gap inequality of Poisson point process as a tool to prove tightness.
Cite
@article{arxiv.2510.26216,
title = {A functional Breuer-Major theorem with Poisson noise},
author = {Fanhao Kong and Haiyi Wang},
journal= {arXiv preprint arXiv:2510.26216},
year = {2025}
}