29 citations · 53 across the 12 of their papers we have counts for
15 papers
Submanifolds of class and sets with positive -reach
Vincent Borrelli, Jean-Baptiste Follet, Boris Thibert
It is well-known since the seminal work of Herbert Federer [Trans. of the AMS, 1959] that submanifolds of class have positive reach. In this paper, we extend this propert…
Distributionally Robust Shape and Topology Optimization
Charles Dapogny, Julien Prando, Boris Thibert
This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider real…
The Hyperbolic Plane in
Vincent Borrelli, Roland Denis, Francis Lazarus +2
We build an explicit isometric embedding of the hyperbolic plane whose image is relatively compact. Its limit set is a closed curve o…
Entropy-regularized Wasserstein distributionally robust shape and topology optimization
Charles Dapogny, Franck Iutzeler, Andrea Meda +1
This brief note aims to introduce the recent paradigm of distributional robustness in the field of shape and topology optimization. Acknowledging that the probability law of uncert…
Strong c-concavity and stability in optimal transport
Anatole Gallouët, Quentin Mérigot, Boris Thibert
The stability of solutions to optimal transport problems under variation of the measures is fundamental from a mathematical viewpoint: it is closely related to the convergence of n…
Metasurfaces and Optimal transport
Cristian E. Gutiérrez, Qingbo Huang, Quentin Mérigot +1
This paper provides a theoretical and numerical approach to show existence, uniqueness, and the numerical determination of metalenses refracting radiation with energy patterns. The…