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math.PR2023
Onset of pattern formation for the stochastic Allen-Cahn equation
Stella Brassesco, Glauco Valle, Maria Eulália Vares
We study the behavior of the solution of a stochastic Allen-Cahn equation $\frac{\partial u_\eps }{\partial t}=\frac 12 \frac{\partial^2 u_\eps }{\partial x^2}+ u_\eps -u_\eps^3+\s…
math.PR2023
Survival of one dimensional renewal contact process
Rafael Santos, Maria Eulalia Vares
The renewal contact process, introduced in by Fontes, Marchetti, Mountford, and Vares, extends the Harris contact process in by allowing the possible cure tim…