Keyword: Optimal transport
Papers related to keyword:
- P. Pegon - M. Petrache (Preprint)
Optimal quantization with branched optimal transport distances (2024) - S. Dweik (Preprint)
Optimal holes for the $W^{1,\infty}$ Poincaré inequality (2024) - L. Nenna - P. Pegon (Canadian Journal of Mathematics)
Convergence rate of entropy-regularized multi-marginal optimal transport costs (2024) - S. Dweik (Accepted Paper: Journal of Mathematical Analysis and Applications)
Optimal region for the transport problem to the boundary (2023) - L. Bungert (Advances in Continuous and Discrete Models)
The inhomogeneous $p$-Laplacian equation with Neumann boundary conditions in the limit $p\to\infty$ (2023) - G. Carlier - P. Pegon - L. Tamanini (Calculus of Variations and Partial Differential Equations)
Convergence rate of general entropic optimal transport costs (2023) - B. Bogosel - G. Buttazzo - E. Oudet (Preprint)
On the numerical approximation of Blaschke-Santaló diagrams using Centroidal Voronoi Tessellations (2023) - F. Fleißner (Submitted Paper)
A Kernel-Density-Estimator Minimizing Movement Scheme for Diffusion Equations (2023) - G. Buttazzo - G. Carlier - K. Eichinger (Submitted Paper)
Wasserstein interpolation with constraints and application to a parking problem (2022) - L. Bungert - Y. Korolev (Communications of the American Mathematical Society)
Eigenvalue Problems in $\mathrm{L}^\infty$: Optimality Conditions, Duality, and Relations with Optimal Transport (2022) - U. Bindini (Canad. J. Math.)
Marginals with finite repulsive cost (2020) - F. Fleißner (ESAIM:COCV)
A Minimizing Movement approach to a class of scalar reaction-diffusion equations (2020) - F. Fleißner (Submitted Paper)
A note on the differentiability of the Hellinger-Kantorovich distances (2020) - M. Colombo - M. Fathi (Preprint)
Bounds on optimal transport maps onto log-concave measures (2019) - S. Di Marino - J. Louet (SIAM J. Math. Anal.)
The entropic regularization of the Monge problem on the real line (2018) - F. Glaudo (Nonlinear Analysis)
On the c-concavity with Respect to the Quadratic Cost on a Manifold (2018) - F. Santambrogio (Accepted Paper: proceedings of the 2017 SMAI conference)
Crowd motion and evolution PDEs under density constraints (2018) - M. Colombo - A. Figalli - Y. Jhaveri (Accepted Paper: Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Lipschitz changes of variables between perturbations of log-concave measures (2017) - L. De Pascale - J. Louet (Submitted Paper)
A study of the dual problem of the one-dimensional $L^\infty$-optimal transport problem with applications (2017) - P. Pegon (Proceedings: Radon Series on Computational and Applied Mathematics)
On the Lagrangian branched transport model and the equivalence with its Eulerian formulation (2017) - A. Brancolini - B. Wirth (Accepted Paper: SIAM J. Math. Anal.)
Optimal micropatterns in transport networks (2017) - A. Brancolini - C. Rossmanith - B. Wirth (Archive for Rational Mechanics and Analysis)
Optimal micropatterns in 2D transport networks and their relation to image inpainting (2017) - L. Ambrosio - F. Stra - D. Trevisan (Preprint)
A PDE approach to a 2-dimensional matching problem (2016) - L. De Pascale - J. Louet - F. Santambrogio (J. Math. Pures Appl.)
The Monge problem with vanishing gradient penalization: vortices and asymptotic profile (2016) - A. Brancolini - B. Wirth (J. Math. Pures Appl.)
Equivalent formulations for the branched transport and urban planning problems (2016) - N. Gigli - B. Han (Calculus of Variations and Partial Differential Equations)
The continuity equation on metric measure spaces (2015) - F. Cavalletti - M. Sedjro - M. Westdickenberg (Accepted Paper: SIAM J. Math. Anal.)
A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations (2013) - M. Colombo - S. Di Marino (Accepted Paper: Ann. Mat. Pura Appl.)
Equality between Monge and Kantorovich multimarginal problems with Coulomb cost (2013) - N. Bonnotte (Phd Thesis)
Unidimensional and Evolution Methods for Optimal Transportation (2013) - F. Cavalletti - M. Huesmann (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
Existence and Uniqueness of optimal transport map (2013) - N. Bonnotte (SIAM J. Math. Anal.)
From Knothe's Rearrangement to Brenier's Optimal Transport Map (2013) - G. Buttazzo (Accepted Paper: Milan J. Math.)
Evolution models for mass transportation problems (2012) - L. Ambrosio - N. Gigli - G. Savaré (Preprint)
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case (2012) - L. Ambrosio - N. Gigli
A user's guide to optimal transport (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below (2011) - S. Di Marino (Degree Thesis)
Trasporto ottimo e problemi di evoluzione per sistemi di particelle (2011) - X. Y. Lu (Commun. Appl. Anal.)
Branching time estimates in quasi-static evolution for the average distance functional (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
Metric measure spaces with Riemannian Ricci curvature bounded from below (2011) - L. Brasco (Ph.D. Thesis)
Geodesics and PDE methods in transport models (2010) - F. Santambrogio (Preprint)
Gradient flows in Wasserstein spaces and applications to crowd movement (2010) - L. Brasco - G. Buttazzo - F. Santambrogio (Accepted Paper: SIAM J. Math. Anal.)
A Benamou-Brenier approach to branched transport (2010) - L. Brasco (Accepted Paper: J. Math. Sci.)
A survey on dynamical transport distances (2010) - J. Dolbeault - B. Nazaret - G. Savaré (Calc. Var. Partial Differential Equations)
A new class of transport distances between measures (2009) - G. Carlier - A. Galichon - F. Santambrogio (Accepted Paper: SIAM J. Math. An.)
From Knothe's transport to Brenier's map and a continuation method for optimal transport (2009) - A. Figalli - C. Villani (Accepted Paper: Methods Appl. Anal.)
An approximation lemma about the cut locus, with applications in optimal transport theory (2008) - G. Carlier - C. Jimenez - F. Santambrogio (SIAM J. Control and Optimization)
Optimal transportation with traffic congestion and Wardrop equilibria (2008) - S. Daneri - G. Savaré (SIAM J. Math. Anal.)
Eulerian calculus for the displacement convexity in the Wasserstein distance (2008) - L. Ambrosio - F. Santambrogio (Rend. Lincei - Mat. e Appl.)
Necessary optimality conditions for geodesics in weighted Wasserstein spaces (2007) - U. Gianazza - G. Savaré - G. Toscani (Accepted Paper: Arch. Ration. Mech. Anal.)
The Wasserstein gradient flow of the Fisher information and the Quantum Drift-Diffusion equation (2006) - G. Buttazzo - E. Stepanov (Discrete Contin. Dyn. Syst. )
Transport density in Monge-Kantorovich problems with Dirichlet conditions (2005) - L. Ambrosio - W. Gangbo (Submitted Paper)
Hamiltonian ODE's in the Wasserstein space of probability measures (2005)