- 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)