Asymptotics of the quantization problem on metric measure spaces
Fuente:
arXiv
Saved in:
| Main Author: | Aydin, Ata Deniz |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
One-dimensional and codimension one homology of metric manifolds
by: Marti, Denis
Published: (2026)
by: Marti, Denis
Published: (2026)
The metric fundamental class of non-orientable manifolds and manifolds with boundary
by: Marti, Denis
Published: (2026)
by: Marti, Denis
Published: (2026)
The Lipschitz-volume rigidity problem for metric manifolds
by: Marti, Denis
Published: (2025)
by: Marti, Denis
Published: (2025)
Characterization of metric spaces with a metric fundamental class
by: Marti, Denis, et al.
Published: (2024)
by: Marti, Denis, et al.
Published: (2024)
Asymptotic quantization on Riemannian manifolds via covering growth estimates
by: Aydin, Ata Deniz, et al.
Published: (2024)
by: Aydin, Ata Deniz, et al.
Published: (2024)
Stability of optimal transport on metric measure spaces
by: Han, Bang-Xian, et al.
Published: (2026)
by: Han, Bang-Xian, et al.
Published: (2026)
Optimal sets for the quantitative isoperimetric inequality in the plane with the barycentric distance
by: Croce, Gisella, et al.
Published: (2025)
by: Croce, Gisella, et al.
Published: (2025)
Optimal quantization with branched optimal transport distances
by: Pegon, Paul, et al.
Published: (2023)
by: Pegon, Paul, 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)
by: Vasilyev, Ioann
Published: (2022)
A strong quantitative form of the fractional isoperimetric inequality
by: Cinti, Eleonora, et al.
Published: (2025)
by: Cinti, Eleonora, et al.
Published: (2025)
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity
by: Pascale, Giulio
Published: (2024)
by: Pascale, Giulio
Published: (2024)
Disintegrated optimal transport for metric fiber bundles
by: Kitagawa, Jun, et al.
Published: (2024)
by: Kitagawa, Jun, 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)
by: Borza, Samuël, et al.
Published: (2025)
The Rank-One Theorem on $\mathrm{RCD}$ spaces
by: Antonelli, Gioacchino, et al.
Published: (2022)
by: Antonelli, Gioacchino, et al.
Published: (2022)
Allard's interior $\varepsilon$-Regularity Theorem in Alexandrov spaces
by: Agnoletto, Marcos, et al.
Published: (2025)
by: Agnoletto, Marcos, et al.
Published: (2025)
Structural properties of one-dimensional metric currents: SBV-representations, connectedness and the flat chain conjecture
by: Arroyo-Rabasa, Adolfo, et al.
Published: (2025)
by: Arroyo-Rabasa, Adolfo, et al.
Published: (2025)
The Riemannian geometry of Sinkhorn divergences
by: Lavenant, Hugo, et al.
Published: (2024)
by: Lavenant, Hugo, et al.
Published: (2024)
On blow-ups of sets with finite fractional variation
by: Stefani, Giorgio
Published: (2025)
by: Stefani, Giorgio
Published: (2025)
Causal convergence conditions through variable timelike Ricci curvature bounds
by: Braun, Mathias, et al.
Published: (2023)
by: Braun, Mathias, et al.
Published: (2023)
On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry
by: Resende, Reinaldo
Published: (2020)
by: Resende, Reinaldo
Published: (2020)
The rival coffee shop problem
by: Casado, Javier, et al.
Published: (2023)
by: Casado, Javier, et al.
Published: (2023)
Optimal partial transport for metric pairs
by: Che, Mauricio
Published: (2024)
by: Che, Mauricio
Published: (2024)
Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms
by: Carazzato, Davide, et al.
Published: (2025)
by: Carazzato, Davide, et al.
Published: (2025)
Area minimizing discs in locally non-compact metric spaces
by: Guo, Chang-Yu, et al.
Published: (2017)
by: Guo, Chang-Yu, et al.
Published: (2017)
Uniform $C^{1,α}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter
by: Goldman, Michael, et al.
Published: (2022)
by: Goldman, Michael, et al.
Published: (2022)
Non-polyconvex $Q$-integrands with lower semicontinuous energies
by: De Gennaro, Daniele, et al.
Published: (2025)
by: De Gennaro, Daniele, et al.
Published: (2025)
Gamma-convergence as $s\to1^-$ of anisotropic nonlocal fractional perimeter functionals
by: Fanizza, Alberto
Published: (2025)
by: Fanizza, Alberto
Published: (2025)
A synthetic Gannon-Lee incompleteness theorem
by: Braun, Mathias, et al.
Published: (2026)
by: Braun, Mathias, et al.
Published: (2026)
Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry
by: Braun, Mathias, et al.
Published: (2025)
by: Braun, Mathias, et al.
Published: (2025)
Non-spherical minimizers in the generalized liquid drop model for Yukawa and truncated Coulomb potentials
by: Bronsard, Lia, et al.
Published: (2025)
by: Bronsard, Lia, et al.
Published: (2025)
Structure of Metric $1$-currents: approximation by normal currents and representation results
by: Bate, David, et al.
Published: (2025)
by: Bate, David, et al.
Published: (2025)
Convergence rates for regularized unbalanced optimal transport: the discrete case
by: Nenna, Luca, et al.
Published: (2025)
by: Nenna, Luca, et al.
Published: (2025)
Barycenters in Disintegrated optimal transport
by: Kitagawa, Jun, et al.
Published: (2026)
by: Kitagawa, Jun, et al.
Published: (2026)
On low-dimensional uniform rectifiability in Heisenberg groups
by: Fässler, Katrin, et al.
Published: (2026)
by: Fässler, Katrin, et al.
Published: (2026)
New perspectives on the d'Alembertian from general relativity. An invitation
by: Braun, Mathias
Published: (2025)
by: Braun, Mathias
Published: (2025)
Tracially lyriform $\mathrm{C}^*$-algebras
by: Jacelon, Bhishan
Published: (2025)
by: Jacelon, Bhishan
Published: (2025)
An ordinary differential equation for entropic optimal transport and its linearly constrained variants
by: Hiew, Joshua Zoen-Git, et al.
Published: (2024)
by: Hiew, Joshua Zoen-Git, et al.
Published: (2024)
Finsler currents
by: Basso, Giuliano
Published: (2023)
by: Basso, Giuliano
Published: (2023)
Construction of fillings with prescribed Gaussian image and applications
by: De Rosa, Antonio, et al.
Published: (2024)
by: De Rosa, Antonio, et al.
Published: (2024)
Mass concentration in rescaled first order integral functionals
by: Monteil, Antonin, et al.
Published: (2022)
by: Monteil, Antonin, et al.
Published: (2022)
Similar Items
-
One-dimensional and codimension one homology of metric manifolds
by: Marti, Denis
Published: (2026) -
The metric fundamental class of non-orientable manifolds and manifolds with boundary
by: Marti, Denis
Published: (2026) -
The Lipschitz-volume rigidity problem for metric manifolds
by: Marti, Denis
Published: (2025) -
Characterization of metric spaces with a metric fundamental class
by: Marti, Denis, et al.
Published: (2024) -
Asymptotic quantization on Riemannian manifolds via covering growth estimates
by: Aydin, Ata Deniz, et al.
Published: (2024)