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math.PR2021
Random separation property for stochastic Allen-Cahn-type equations
Federico Bertacco, Carlo Orrieri, Luca Scarpa
We study a large class of stochastic -Laplace Allen-Cahn equations with singular potential. Under suitable assumptions on the (multiplicative-type) noise we first prove existenc…
math.PR2021
Large deviations for Kac-like walks
Giada Basile, Dario Benedetto, Lorenzo Bertini +1
We introduce a Kac's type walk whose rate of binary collisions preserves the total momentum but not the kinetic energy. In the limit of large number of particles we describe the dy…