Quentin Mérigot

Centre National de la Recherche Scientifique — France

Mathematics · Physical Sciences

19h-index2.3kcitations79works0.72yr avg
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Research Topics

Geometric Analysis and Curvature Flows(30), Point processes and geometric inequalities(21), Seismic Imaging and Inversion Techniques(11), Topological and Geometric Data Analysis(11), Geometry and complex manifolds(10)

Publications79 total

Sharp comparisons between sliced and standard $1$-Wasserstein distances
arXiv (Cornell University)·2025Open Access
Strong c-concavity and stability in optimal transport
Journal de Mathématiques Pures et Appliquées·2025· 1 cited
Semi-discrete convex order and Laguerre tessellation fitting
SPIRE - Sciences Po Institutional REpository·2025Open Access
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map
Foundations of Computational Mathematics·2024
Robust Risk Management via Multi-marginal Optimal Transport
Journal of Optimization Theory and Applications·2024· 3 citedOpen Access
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map
arXiv (Cornell University)·2024Open Access
Quantitative stability of optimal transport maps under variations of the target measure
Duke Mathematical Journal·2023· 15 citedOpen Access
Robust risk management via multi-marginal optimal transport
arXiv (Cornell University)·2022· 1 citedOpen Access
Metasurfaces and Optimal transport
SMAI Journal of Computational Mathematics·2022· 4 citedOpen Access
Quantitative Stability of Barycenters in the Wasserstein Space
arXiv (Cornell University)·2022Open Access
Quantitative Stability of Barycenters in the Wasserstein Space
arXiv (Cornell University)·2022· 2 citedOpen Access
Strong c-concavity and stability in optimal transport
arXiv (Cornell University)·2022Open Access
Convergence of a Lagrangian Discretization for Barotropic Fluids and Porous Media Flow
SIAM Journal on Mathematical Analysis·2022· 5 citedOpen Access
A damped Newton algorithm for generated Jacobian equations
Calculus of Variations and Partial Differential Equations·2022· 4 citedOpen Access
Mirrors, lenses and Monge–Ampère equations
European Mathematical Society Magazine·2021· 1 citedOpen Access
Mirrors, lenses and Monge–Ampère equations
European Mathematical Society Magazine·2021· 2 cited
Non-asymptotic convergence bounds for Wasserstein approximation using point clouds
SPIRE - Sciences Po Institutional REpository·2021· 2 citedOpen Access
Convergence of a Lagrangian discretization for barotropic fluids and porous media flow
arXiv (Cornell University)·2021Open Access
Convergence of a Lagrangian Discretization for Barotropic Fluids and Porous Media Flow
HAL (Le Centre pour la Communication Scientifique Directe)·2021Open Access
Metasurfaces and Optimal transport
arXiv (Cornell University)·2021Open Access
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Frequent Co-authors

Boris Thibert(14), Édouard Oudet(13), Ludovic Métivier(9), Romain Brossier(7), Frédéric Chazal(6), J. Virieux(5), David Cohen‐Steiner(4), Filippo Santambrogio(4), Maks Ovsjanikov(3), Leonidas Guibas(3), A. Allain(3), Thomas Gallouët(3), Jocelyn Meyron(3), Pedro Machado Manhães de Castro(3), Alex Delalande(3), R. Brossier(2), Jean‐David Benamou(2), Guillaume Carlier(2), Jean‐Marie Mirebeau(2), Jun Kitagawa(2)