2 papers
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…
math.PR2023
A voltage-conductance kinetic system from neuroscience: probabilistic reformulation and exponential ergodicity
Xu'an Dou, Fanhao Kong, Weijun Xu +1
The voltage-conductance kinetic equation for an ensemble of neurons has been studied by many scientists and mathematicians, while its rigorous analysis is still at a premature stag…