2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.PR2026
Stochastic fractional diffusion equations with spatial Gaussian noise in the Stratonovich regime
Yuhui Guo, Jian Song, Guanyu Wu
For a class of stochastic fractional diffusion equations, we prove the existence of Stratonovich solutions and obtain the precise values of the Lyapunov exponents governing the lar…
math.PR2024
Sample path properties and small ball probabilities for stochastic fractional diffusion equations
Yuhui Guo, Jian Song, Ran Wang +1
We consider the following stochastic space-time fractional diffusion equation with vanishing initial condition:$$ \partial^β u(t, x)=- \left(-Δ\right)^{α/ 2} u(t, x)+ I_{0+}^γ\left…
math.PR2021★ 2 cited
A New Correlation Inequality for Ising Models with External Fields
Jian Ding, Jian Song, Rongfeng Sun
We study ferromagnetic Ising models on finite graphs with an inhomogeneous external field, where a subset of vertices is designated as the boundary. We show that the influence of b…