18 citations · 49 across the 7 of their papers we have counts for
10 papers
Stochastic Euler Schemes and Dissipative Evolutions in the Space of Probability Measures
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We study the convergence of stochastic time-discretization schemes for evolution equations driven by random velocity fields, including examples like stochastic gradient descent and…
Optimal control for multiagent systems with simultaneous aggregation
Mauro Bonafini, Giulia Cavagnari, Antonio Marigonda
In this paper, we introduce an optimal control problem for multi-agent systems with non-local cost which favors simultaneous aggregation of particles. This is done introducing a ti…
Reachability for multiagent control systems via Lyapunov functions
Giulia Cavagnari, Marc Quincampoix
This paper concerns the problem of reachability of a given state for a multiagent control system in . In such a system, at every time each agent can choose his/her ve…
A Lagrangian approach to totally dissipative evolutions in Wasserstein spaces
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We introduce and study the class of totally dissipative multivalued probability vector fields (MPVF) on the Wasserstein space $(\mathcal{P}_2(\mathsf{X}),W…
Extension of monotone operators and Lipschitz maps invariant for a group of isometries
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We study monotone operators in reflexive Banach spaces that are invariant with respect to a group of suitable isometric isomorphisms and we show that they always admit a maximal ex…
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We introduce and investigate a notion of multivalued -dissipative probability vector field (MPVF) in the Wasserstein space of Borel probability measur…