Author

Meng Wang

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Preprint Oct 2026

Central limit theorems for stochastic heat equation driven by Gaussian noise with heat-kernel covariance

In this article, we study the spatial fluctuations of the Skorohod solution to a stochastic heat equation on $\mathbb R^d$ for $d<4$, driven by multiplicative Gaussian noise with the non-separable covariance kernel $p_{|t-s|}(x-y)$. We prove that the solution is strictly stationary and spatially ergodic at every fixed...

Meng Wang, Wang-Jun Yuan · 0 citations

Preprint Sep 2026

Scaling limit for the pinning model in correlated Gaussian environment beyond the $L^2$-regime

In this paper, we study the scaling limit of the pinning model in correlated Gaussian environment. The tail probability of the underlying renewal process of the model has a polynomial decay with exponent $\alpha>0$. The covariance of the Gaussian environment $\{\omega_n\}_{n\in\mathbb N}$ is given by $\text{Cov}_{\math...

Jian Song, Meng Wang, Ran Wei · 0 citations