Cover Image

Entropic-Wasserstein barycenters: PDE characterization, regularity and CLT

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Carlier, Guillaume, Eichinger, Katharina, Kroshnin, Alexey
Format:	Preprint
Published:	2020
Subjects:	Analysis of PDEs Probability 49Q25, 35J96, 60B12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Synthetic MTW conditions and their equivalence under mild regularity assumption on the cost function
by: Jeong, Seonghyeon
Published: (2020)

Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation
by: Garriz-Molina, Alejandro, et al.
Published: (2024)

Replicator dynamics as the large population limit of a discrete Moran process in the weak selection regime: A proof via Eulerian specification
by: Morandotti, Marco, et al.
Published: (2025)

$p$-Wasserstein barycenters
by: Brizzi, Camilla, et al.
Published: (2024)

Wasserstein geometry of nonnegative measures on finite Markov chains I: Gradient flow
by: Mao, Qifan, et al.
Published: (2026)

Exponentially mixing flows with slow enhanced dissipation
by: Cooperman, William, et al.
Published: (2025)

Solutions to Monge-Ampère Equations with Low Codimensional singularities
by: Rakshit, Arghya, et al.
Published: (2026)

Conditions for existence of single valued optimal transport maps on convex boundaries with nontwisted cost
by: Jeong, Seonghyeon, et al.
Published: (2023)

Wasserstein contraction for the stochastic Morris-Lecar neuron model
by: Herda, Maxime, et al.
Published: (2023)

A quantitative stability result for regularity of optimal transport on compact manifolds
by: Warren, Micah
Published: (2025)

PDE methods for extracting normal vector fields and distance functions of shapes
by: Hasebe, Takahiro, et al.
Published: (2025)

Boundary $C^{2, α}$ Regularity for the Oblique Boundary Value Problem of Monge-Ampère Equations
by: Jian, Huaiyu, et al.
Published: (2021)

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance
by: Caja-Lopez, F. -U., et al.
Published: (2026)

Local elliptic regularity for solutions to stationary Fokker-Planck equations via Dirichlet forms and resolvents
by: Lee, Haesung
Published: (2024)

Optimal Transport Using Cost Functions with Preferential Direction with Applications to Optics Inverse Problems
by: Turnquist, Axel G. R.
Published: (2024)

Optimal Transport with Defective Cost Functions with Applications to the Lens Refractor Problem
by: Turnquist, Axel G. R.
Published: (2023)

Wasserstein Mirror Gradient Flow as the limit of the Sinkhorn Algorithm
by: Deb, Nabarun, et al.
Published: (2023)

A comparison principle based on couplings of partial integro-differential operators
by: Della Corte, Serena, et al.
Published: (2024)

An alternative definition for c-convex functions and another synthetic statement of MTW condition
by: Jeong, Seonghyeon
Published: (2025)

Uniform-in-diffusivity mixing by shear flows: stochastic and dynamical perspectives
by: Liss, Kyle L., et al.
Published: (2026)

The exponential turnpike phenomenon for mean field game systems: weakly monotone drifts and small interactions
by: Cecchin, Alekos, et al.
Published: (2024)

Concentrated solutions to the Schrödinger--Bopp--Podolsky system with a positive potential
by: Ramos, Gustavo de Paula
Published: (2023)

Weak semiconvexity estimates for Schrödinger potentials and logarithmic Sobolev inequality for Schrödinger bridges
by: Conforti, Giovanni
Published: (2022)

Symmetry and Qualitative \& Quantitative Stability for a Class of Overdetermined Problems in C-GNP Domains with Source Supported in the Core
by: Barkatou, Mohammed
Published: (2026)

Far field refraction problem with loss of energy in negative refractive index material
by: Sui, Haokun, et al.
Published: (2026)

Near Field Refraction Problem With Loss of Energy in Negative Refractive Index Material
by: Jiang, Feida, et al.
Published: (2026)

Geometry and analytic properties of the sliced Wasserstein space
by: Park, Sangmin, et al.
Published: (2023)

$h$-Wasserstein barycenters
by: Brizzi, Camilla, et al.
Published: (2024)

An inverse source problem for a quasilinear elliptic equation
by: Liimatainen, Tony, et al.
Published: (2026)

Large scale regularity and correlation length for almost length-minimizing random curves in the plane
by: Ried, Tobias, et al.
Published: (2024)

Concentration effects and $Γ$-limit for the elastica functional for open and closed curves
by: Bellettini, Giovanni, et al.
Published: (2026)

Existence and multiplicity results for a class of Kirchhoff-Choquard equations with a generalized sign-changing potential
by: Böer, Eduardo de Souza, et al.
Published: (2022)

On the classical Reinforcement problem and Optimisation
by: Cristoforoni, Emanuele, et al.
Published: (2026)

Optimal resource allocation for maintaining system solvency
by: Guo, Gaoyue, et al.
Published: (2026)

Viscosity Solutions of Fully second-order HJB Equations in the Wasserstein Space
by: Bayraktar, Erhan, et al.
Published: (2025)

The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and $\mathcal{H}^{m-2}$-a.e. Uniqueness of Tangent Cones
by: De Lellis, Camillo, et al.
Published: (2023)

The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points
by: De Lellis, Camillo, et al.
Published: (2023)

Fine Structure of Singularities in Area-Minimizing Currents Mod$(q)$
by: De Lellis, Camillo, et al.
Published: (2024)

The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$
by: De Lellis, Camillo, et al.
Published: (2023)

Optimal asymptotic expansion of entire solutions to Monge-Ampère equation with $C^α$ perturbed periodic data
by: Qi, Shuai, et al.
Published: (2025)