A central limit theorem for the stochastic cable equation
Probability
2025-08-19 v2
Abstract
We study one-dimensional nonlinear stochastic cable equations driven by a multiplicative space-time white noise. Using the Malliavin-Stein method, we prove a central limit theorem for the spatial average of the solution. The convergence is established in the total variation distance with mild conditions. We also establish a functional central limit theorem with a technical assumption. Furthermore, we show that this assumption holds in a special case.
Cite
@article{arxiv.2506.02755,
title = {A central limit theorem for the stochastic cable equation},
author = {Soma Nishino},
journal= {arXiv preprint arXiv:2506.02755},
year = {2025}
}
Comments
31 pages