16 citations · 49 across the 16 of their papers we have counts for
20 papers
Variational derivation of the homogeneous Boltzmann equation
Giada Basile, Dario Benedetto, Carlo Orrieri
We introduce a variational formulation of the homogeneous Boltzmann equation, with hard-sphere cross section, which selects the unique energy conserving solution. We prove that thi…
Pathwise uniqueness by noise for singular stochastic PDEs
Davide Addona, Davide Bignamini, Carlo Orrieri +1
Pathwise uniqueness for stochastic PDEs with drift in differential form is a main open problem in the recent literature on regularisation by noise. This paper establishes a self-co…
Weak stability by noise for approximations of doubly nonlinear evolution equations
Carlo Orrieri, Luca Scarpa, Ulisse Stefanelli
Doubly nonlinear stochastic evolution equations are considered. Upon assuming the additive noise to be rough enough, we prove the existence of probabilistically weak solutions of F…
Weak uniqueness by noise for singular stochastic PDEs
Federico Bertacco, Carlo Orrieri, Luca Scarpa
We prove weak uniqueness of mild solutions for general classes of SPDEs on a Hilbert space. The main novelty is that the drift is only defined on a Sobolev-type subspace and no Höl…
A note on regularity and separation for the stochastic Allen-Cahn equation with logarithmic potential
Carlo Orrieri, Luca Scarpa
We prove refined space-time regularity for the classical stochastic Allen-Cahn equation with logarithmic potential. This allows to establish a random separation property, i.e. that…
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…
Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below
Nicolò De Ponti, Matteo Muratori, Carlo Orrieri
Given a complete, connected Riemannian manifold with Ricci curvature bounded from below, we discuss the stability of the solutions of a porous medium-type equation…
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…
A variational approach to the mean field planning problem
Carlo Orrieri, Alessio Porretta, Giuseppe Savaré
We investigate a first-order mean field planning problem of the form \begin{equation} \left\lbrace\begin{aligned} -\partial_t u + H(x,Du) &= f(x,m) &&\text{in } (0,T)\times \mathbb…
Mean-field optimal control as Gamma-limit of finite agent controls
Massimo Fornasier, Stefano Lisini, Carlo Orrieri +1
This paper focuses on the role of a government of a large population of interacting agents as a mean field optimal control problem derived from deterministic finite agent dynamics.…
Singular Stochastic Allen-Cahn equations with dynamic boundary conditions
Carlo Orrieri, Luca Scarpa
We prove a well-posedness result for stochastic Allen-Cahn type equations in a bounded domain coupled with generic boundary conditions. The (nonlinear) flux at the boundary aims at…
Ergodic maximum principle for stochastic systems
Carlo Orrieri, Gianmario Tessitore, Petr Veverka
We present a version of the stochastic maximum principle (SMP) for ergodic control problems. In particular we give necessary (and sufficient) conditions for optimality for controll…
Stochastic maximum principle for SPDEs with delay
Giuseppina Guatteri, Federica Masiero, Carlo Orrieri
In this paper we develop necessary conditions for optimality, in the form of the Pontryagin maximum principle, for the optimal control problem of a class of infinite dimensional ev…
Necessary stochastic maximum principle for dissipative systems on infinite time horizon
Carlo Orrieri, Petr Veverka
We develop a necessary stochastic maximum principle for a finite-dimensional stochastic control problem in infinite horizon under a polynomial growth and joint monotonicity assumpt…
Stochastic maximum principle for optimal control of a class of nonlinear SPDEs with dissipative drift
Marco Fuhrman, Carlo Orrieri
We prove a version of the stochastic maximum principle, in the sense of Pontryagin, for the finite horizon optimal control of a stochastic partial differential equation driven by a…
A stochastic maximum principle with dissipativity conditions
Carlo Orrieri
In this paper we prove a version of the maximum principle, in the sense of Pontryagin, for the optimal control of a finite dimensional stochastic differential equation, driven by a…