5 papers
Exponential Turnpike Theorems for Nonlinear Deterministic Meanfield Optimal Control Problems
Benoît Bonnet-Weill, Giovanni Colombo, Denis Shishmintsev +1
In this article, we establish exponential turnpike theorems for a class of nonlinear deterministic meanfield optimal control problems. We carry out our analysis simultaneously in t…
A Characterization of Law-Invariant and Coherent Risk Measures through Optimal Transport
Riccardo Bonalli, Benoît Bonnet-Weill, Laurent Pfeiffer
In this article, we propose a novel characterization of law-invariant and coherent risk measures, based on a generalized optimal transport problem in which the second marginal of t…
Structured Continuity Equations in Fibred Wasserstein Spaces
Benoît Bonnet-Weill, Nastassia Pouradier Duteil
In this article, we develop a comprehensive ODE-theory for structured continuity equations in fibred probability spaces, which represent a class of heterogeneous PDEs arising as th…
Viability Theory in the -Wasserstein Space
Benoît Bonnet-Weill, Alberto DomÃnguez Corella, Hélène Frankowska
In this article, we establish necessary and sufficient viability conditions for continuity inclusions over the 1-Wasserstein space. Depending on the regularity properties of the dy…
Set-Valued Koopman Theory for Control Systems
Benoît Bonnet-Weill, Milan Korda
In this paper, we introduce a new notion of Koopman operator which faithfully encodes the dynamics of controlled systems by leveraging the tools of set-valued analysis. In this con…