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math.PR2026
Local Linearization and Exact Oscillations for the Nonlinear Stochastic Heat Equation with Spatially Rough Noise
Bin Qian, Mengxin Tong, Ran Wang +1
Consider the one-dimensional nonlinear stochastic heat equation $$ \frac{\partial u(t,x)}{\partial t} = \frac{\partial^2 u(t,x)}{\partial x^2} + σ(u(t,x))\dot W(t,x), \qquad t>0,\…
math.PR2026
Small ball probabilities and Chung's law of the iterated logarithm for Gaussian Volterra processes with power-type kernels
Mengxin Tong, Ran Wang, Qingshan Yang
Consider the Gaussian Volterra process introduced by Mishura and Shklyar \cite{MS22a,MS22b}, whe…