9. Optimal transportation theory with repulsive costs
From MaRDI portal
Publication:4596914
DOI10.1515/9783110430417-010zbMath1387.49034arXiv1506.04565OpenAlexW3109444475MaRDI QIDQ4596914
Luca Nenna, Augusto Gerolin, Simone Di Marino
Publication date: 11 December 2017
Published in: Topological Optimization and Optimal Transport (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.04565
Optimality conditions for problems involving partial differential equations (49K20) Applications of optimal control and differential games (49N90) General quantum mechanics and problems of quantization (81S99)
Related Items (32)
Optimal transportation, modelling and numerical simulation ⋮ Breaking the Curse of Dimension in Multi-Marginal Kantorovich Optimal Transport on Finite State Spaces ⋮ Nonlinear systems coupled through multi-marginal transport problems ⋮ Statistical mechanics of the uniform electron gas ⋮ On the Linear Convergence of the Multimarginal Sinkhorn Algorithm ⋮ Continuity and estimates for multimarginal optimal transportation problems with singular costs ⋮ Multi-marginal entropy-transport with repulsive cost ⋮ Smoothing operators in multi-marginal optimal transport ⋮ Universal diagonal estimates for minimizers of the Levy-Lieb functional ⋮ Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces ⋮ Low-Rank Tensor Approximations for Solving Multimarginal Optimal Transport Problems ⋮ An Explicit Solution for a Multimarginal Mass Transportation Problem ⋮ Classical density functional theory: representability and universal bounds ⋮ A class of multi-marginal \(c\)-cyclically monotone sets with explicit \(c\)-splitting potentials ⋮ Next-order asymptotic expansion for \(N\)-marginal optimal transport with Coulomb and Riesz costs ⋮ Multi-marginal maximal monotonicity and convex analysis ⋮ Semidefinite Relaxation of Multimarginal Optimal Transport for Strictly Correlated Electrons in Second Quantization ⋮ The multistochastic Monge-Kantorovich problem ⋮ Semi-classical limit of the Levy-Lieb functional in density functional theory ⋮ Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional ⋮ Geometry of Kantorovich polytopes and support of optimizers for repulsive multi-marginal optimal transport on finite state spaces ⋮ Convergence of Levy-Lieb to Thomas-Fermi density functional ⋮ Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data ⋮ A Differential Approach to the Multi-Marginal Schrödinger System ⋮ Marginals with Finite Repulsive Cost ⋮ Nonexistence of Optimal Transport Maps for the Multimarginal Repulsive Harmonic Cost ⋮ Continuity of Multimarginal Optimal Transport with Repulsive Cost ⋮ Hardness results for multimarginal optimal transport problems ⋮ Improved Lieb-Oxford bound on the indirect and exchange energies ⋮ On c-cyclical monotonicity for optimal transport problem with Coulomb cost ⋮ On multistochastic Monge-Kantorovich problem, bitwise operations, and fractals ⋮ A Simple Counterexample to the Monge Ansatz in Multimarginal Optimal Transport, Convex Geometry of the Set of Kantorovich Plans, and the Frenkel--Kontorova Model
This page was built for publication: 9. Optimal transportation theory with repulsive costs