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math.PR2026
Second-order fields for stochastic partial differential equations
Eldon Barros, Leandro Chiarini, Milton Jara
In this article, we study the second-order fluctuation of the solutions of one-dimensional polynomial stochastic partial differential equations (SPDEs) of the form \begin{equation*…
math.PR2019★ 3 cited
A one-dimensional non-local singular SPDE
L. Chiarini, C. Landim
We examine in this article the one-dimensional, non-local, singular SPDE \begin{equation*} \partial_t u \;=\; -\, (-Δ)^{1/2} u \,-\, \sinh(γu) \,+\, ξ\;, \end{equation*} where $γ\i…