activity
20202023
most citedMean field, hydrodynamic and graph limits for deterministic interacting particle systems: a survey with quantitative estimates

5 citations · 7 across the 5 of their papers we have counts for

collaborators

6 papers

math.OC2023

Convergence in nonlinear optimal sampled-data control problems

Loïc Bourdin, Emmanuel Trélat

Consider, on the one part, a general nonlinear finite-dimensional optimal control problem and assume that it has a unique solution whose state is denoted by . On the other par…

math.OC2023

Approximate control of parabolic equations with on-off shape controls by Fenchel duality

Camille Pouchol, Emmanuel Trélat, Christophe Zhang

We consider the internal control of linear parabolic equations through on-off shape controls, i.e., controls of the form with and with a prescri…

math.AP2022★ 5 cited

Mean field, hydrodynamic and graph limits for deterministic interacting particle systems: a survey with quantitative estimates

Thierry Paul, Emmanuel Trélat

We present a unified framework, with quantitative estimates, for deterministic interacting particle systems whose pairwise interactions may depend on heterogeneous labels. Heteroge…

q-bio.PE2022

Optimization of vaccination for COVID-19 in the midst of a pandemic

Qi Luo, Ryan Weightman, Sean T. McQuade +6

During the Covid-19 pandemic a key role is played by vaccination to combat the virus. There are many possible policies for prioritizing vaccines, and different criteria for optimiz…

math.SP2022

Quantum Limits on product manifolds

Emmanuel Humbert, Yannick Privat, Emmanuel Trélat

We establish some properties of quantum limits on a product manifold, proving for instance that, under appropriate assumptions, the quantum limits on the product of manifolds are a…

math.OC2020★ 2 cited

Linear turnpike theorem

Emmanuel Trélat

The turnpike phenomenon stipulates that the solution of an optimal control problem in large time, remains essentially close to a steady-state of the dynamics, itself being the opti…