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math.PR2026
An Allen-Cahn equation with jump-diffusion noise for biological damage and repair processes
Andrea Di Primio, Marvin Fritz, Luca Scarpa +1
This paper analyzes a stochastic Allen--Cahn equation for the dynamics of biomolecular damage and repair. The system is driven by two distinct noise processes: a multiplicative cyl…
math.PR2025
Existence, uniqueness and asymptotic stability of invariant measures for the stochastic Allen-Cahn-Navier-Stokes system with singular potential
Andrea Di Primio, Luca Scarpa, Margherita Zanella
We study the long-time behaviour of a stochastic Allen-Cahn-Navier-Stokes system modelling the dynamics of binary mixtures of immiscible fluids. The model features two stochastic f…