Jian Song

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20232026

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math.PR2026

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

Jian Song, Meng Wang, Ran Wei

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 polynom…

math.PR2023

On a class of stochastic fractional heat equations

Jian Song, Meng Wang, Wangjun Yuan

For the fractional heat equation $\frac{\partial}{\partial t} u (t, x) = - (- Δ)^{\frac{α}{2}} u (t, x) + u (t, x) W ˙ (t, x)$ where the covariance function of the Gaussian noise $W ˙$ is d…

math.PR2023

Stochastic partial differential equations associated with Feller processes

Jian Song, Meng Wang, Wangjun Yuan

For the stochastic partial differential equation $\frac{\partial u}{\partial t} = L u + u W ˙$ where $W ˙$ is Gaussian noise colored in time and $L$ is the infi…

Scaling limit for the pinning model in correlated Gaussian environment beyond the L2-regime

On a class of stochastic fractional heat equations

Stochastic partial differential equations associated with Feller processes

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