2 papers
math.PR2025
A functional Breuer-Major theorem with Poisson noise
Fanhao Kong, Haiyi Wang
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 in…
math.PR2024
Hairer-Quastel universality for KPZ -- polynomial smoothing mechanisms, general nonlinearities and Poisson noise
Fanhao Kong, Haiyi Wang, Weijun Xu
We consider a class of weakly asymmetric continuous microscopic growth models with polynomial smoothing mechanisms, general nonlinearities and a Poisson type noise. We show that th…