3 citations · 3 across the 3 of their papers we have counts for
8 papers
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…
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…
Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: Equivalence and Gamma-convergence
Giulia Cavagnari, Stefano Lisini, Carlo Orrieri +1
This paper is devoted to the study of multi-agent deterministic optimal control problems. We initially provide a thorough analysis of the Lagrangian, Eulerian and Kantorovich formu…
Semilinear Kolmogorov equations on the space of continuous functions via BSDEs
Federica Masiero, Carlo Orrieri, Gianmario Tessitore +1
We deal with a class of semilinear parabolic PDEs on the space of continuous functions that arise, for example, as Kolmogorov equations associated to the infinite-dimensional lifti…
Optimal control of stochastic phase-field models related to tumor growth
Carlo Orrieri, Elisabetta Rocca, Luca Scarpa
We study a stochastic phase-field model for tumor growth dynamics coupling a stochastic Cahn-Hilliard equation for the tumor phase parameter with a stochastic reaction-diffusion eq…
Large deviations for interacting particle systems: joint mean-field and small-noise limit
Carlo Orrieri
We consider a system of stochastic interacting particles in and we describe large deviations asymptotics in a joint mean-field and small-noise limit. Precisely, a la…