Cover Image

Barycenters in Disintegrated optimal transport

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kitagawa, Jun, Takatsu, Asuka
Format:	Preprint
Published:	2026
Subjects:	Metric Geometry Differential Geometry 49Q22, 49Q20, 28A50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Disintegrated optimal transport for metric fiber bundles
by: Kitagawa, Jun, et al.
Published: (2024)

Sliced optimal transport: is it a suitable replacement?
by: Kitagawa, Jun, et al.
Published: (2023)

Equal area partitions of the sphere with diameter bounds, via optimal transport
by: Kitagawa, Jun, et al.
Published: (2023)

On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry
by: Resende, Reinaldo
Published: (2020)

On the smooth Lorentzian optimal transport problem
by: Metsch, Alec
Published: (2025)

Time-periodic branched transport
by: Kitagawa, Jun, et al.
Published: (2025)

Isoperimetric minimizing movements and AC curves in $\text{PL}_q^p(\mathbb{R}^n)$
by: Aldrigo, Pietro
Published: (2026)

Optimal transport on the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2025)

A strong quantitative form of the fractional isoperimetric inequality
by: Cinti, Eleonora, et al.
Published: (2025)

The rival coffee shop problem
by: Casado, Javier, et al.
Published: (2023)

Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation
by: Figalli, Alessio, et al.
Published: (2024)

Hausdorff dimension and failure of synthetic curvature bounds in the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2025)

Optimal transport and regularity of weak Kantorovich potentials on a globally hyperbolic spacetime
by: Metsch, Alec
Published: (2024)

A Corrected Proof of the Graphical Representation of a Class of Curvature Varifolds by $C^{1,α}$ Multiple Valued Functions
by: Aiex, Nicolau S.
Published: (2024)

Stability of optimal transport maps on Riemannian manifolds
by: Kitagawa, Jun, et al.
Published: (2025)

Allard's interior $\varepsilon$-Regularity Theorem in Alexandrov spaces
by: Agnoletto, Marcos, et al.
Published: (2025)

Optimal sets for the quantitative isoperimetric inequality in the plane with the barycentric distance
by: Croce, Gisella, et al.
Published: (2025)

On the Steiner tree connecting a fractal set
by: Paolini, Emanuele, et al.
Published: (2023)

On Busemann--Hausdorff densities of dimension two and of codimension two, with an application to Plateau Problem
by: Vasilyev, Ioann
Published: (2022)

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $\ell^p$-Heisenberg groups
by: Borza, Samuël, et al.
Published: (2023)

A refined Lusin type theorem for gradients
by: De Masi, Luigi, et al.
Published: (2024)

Visualizing Shape Functionals via Sinkhorn Multidimensional Scaling
by: Yachimura, Toshiaki, et al.
Published: (2024)

Remarks on the relative isoperimetric profile of polygonal domains in $\mathbb{R}^2$
by: DeVito, Jason, et al.
Published: (2026)

Synthetic versus distributional lower Ricci curvature bounds
by: Kunzinger, Michael, et al.
Published: (2022)

The Lipschitz-volume rigidity problem for metric manifolds
by: Marti, Denis
Published: (2025)

On the geometry and dynamical formulation of the Sinkhorn algorithm for optimal transport
by: Modin, Klas
Published: (2023)

Isoperimetry by stretching
by: Marshall-Stevens, Kobe, et al.
Published: (2026)

Small volume bodies of constant width
by: Arman, Andrii, et al.
Published: (2024)

The infimal convolution structure of the Hellinger-Kantorovich distance
by: De Ponti, Nicolò, et al.
Published: (2025)

Variational structures for the Fokker--Planck equation with general Dirichlet boundary conditions
by: Quattrocchi, Filippo
Published: (2024)

A Curvature Varifold Whose Weak Second Fundamental Form is Not Preserved Under Decompositions
by: Aiex, Nicolau S.
Published: (2024)

Comparison estimates on nonsmooth spaces with integrable Ricci lower bounds via localization
by: Caputo, Emanuele, et al.
Published: (2025)

On the rigidity of Wasserstein contraction along heat flows
by: Li, Zhenhao
Published: (2025)

Warped products over one-dimensional base spaces and the RCD condition
by: Ketterer, Christian
Published: (2025)

Curvature-dimension condition of sub-Riemannian $α$-Grushin half-spaces
by: Borza, Samuël, et al.
Published: (2024)

Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2026)

On higher order Morrey's inequalities over RCD{\boldmath$(K,N)$}-spaces
by: Kitagawa, Jun, et al.
Published: (2026)

On the (outer) Minkowski content with lower-dimensional structuring element
by: Kiderlen, Markus, et al.
Published: (2025)

Structure of two-dimensional mod$(q)$ area-minimizing currents near flat singularities: the codimension one case
by: Skorobogatova, Anna, et al.
Published: (2025)

On the regularity of area minimizing currents at boundaries with arbitrary multiplicity
by: Fleschler, Ian, et al.
Published: (2024)