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6 papers · 2 filters
Asymptotic Properties of Optimal Trajectories in Dynamic Programming
Sylvain Sorin, Xavier Venel, Guillaume Vigeral
We prove in a dynamic programming framework that uniform convergence of the finite horizon values implies that asymptotically the average accumulated payoff is constant on optimal…
About Hölder-regularity of the convex shape minimizing λ2
Jimmy Lamboley
In this paper, we consider the well-known following shape optimization problem: where $λ_2(\Om)$ denotes the seco…
On the strategic use of risk and undesirable goods in multidimensional screening
Aimé Lachapelle, Filippo Santambrogio
A monopolist sells goods with possibly a characteristic consumers dislike (for instance, he sells random goods to risk averse agents), which does not affect the production costs. W…
Analysis of the Toolkit method for the time-dependant Schrödinger equation
Lucie Baudouin, Julien Salomon, Gabriel Turinici
The goal of this paper is to provide an analysis of the "toolkit" method used in the numerical approximation of the time-dependent Schrödinger equation. The "toolkit" method is bas…
A uniform Tauberian theorem in optimal control
Miquel Oliu-Barton, Guillaume Vigeral
In an optimal control framework, we consider the value of the problem starting from state with finite horizon , as well as the value of the -discounted…
A Benamou-Brenier approach to branched transport
Lorenzo Brasco, Giuseppe Buttazzo, Filippo Santambrogio
The problem of branched transportation aims to describe the movement of masses when, due to concavity effects, they have the interest to travel together as much as possible, becaus…