Cover Image

Lower Estimates for $L_1$-Distortion of Transportation Cost Spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gartland, Chris, Ostrovskii, Mikhail
Format:	Preprint
Published:	2026
Subjects:	Functional Analysis Computational Geometry Combinatorics Metric Geometry 51F30 (Primary) 05C76, 30L05, 46B03, 49Q22, 68R12, 68W25 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Umbel convexity and the geometry of trees
by: Baudier, Florent P., et al.
Published: (2021)

A note on Erdős's mysterious remark
by: Kovács, Zoltán
Published: (2024)

Transportation cost spaces and stochastic trees
by: Medina, Rubén, et al.
Published: (2025)

Hyperbolic Metric Spaces and Stochastic Embeddings
by: Gartland, Chris
Published: (2024)

Excluding $K_{2,t}$ as a fat minor
by: Albrechtsen, Sandra, et al.
Published: (2025)

On the configurations of four spheres supporting the vertices of a tetrahedron
by: Longinetti, Marco, et al.
Published: (2024)

Regular triangle unions with maximal number of sides
by: Alkauskas, Giedrius
Published: (2025)

Complete invariants of atomic clouds under rigid motion with Lipschitz continuous metrics in a polynomial time
by: Kurlin, Vitaliy
Published: (2023)

Sufficient conditions for the surjectivity of radical curve parametrizations
by: Caravantes, Jorce, et al.
Published: (2023)

The rigidity problem for uniform Roe algebras
by: Vignati, Alessandro
Published: (2026)

Oscillation stability by the Carlson-Simpson theorem
by: Bice, Tristan, et al.
Published: (2025)

Locally similar distances and equality of the induced intrinsic distances
by: Lee-Guzmán, Erick, et al.
Published: (2025)

Polygonal equalities and $p$-negative type
by: Doust, Ian, et al.
Published: (2024)

Embedding relatively hyperbolic groups into products of binary trees
by: Nairne, Patrick S.
Published: (2024)

Graph Skeletons and Diminishing Minors
by: Bruner, Michael, et al.
Published: (2024)

Asymptotic structure. II. Path-width and additive quasi-isometry
by: Nguyen, Tung, et al.
Published: (2025)

Bottlenecking in graphs and a coarse Menger-type theorem
by: Bruner, Michael, et al.
Published: (2024)

Bijective rigidity of uniform Roe algebras and injectivity of the comparison map
by: Krutoy, Kostyantyn
Published: (2026)

Refutation of Spectral Graph Theory Conjectures with Search Algorithms)
by: Roucairol, Milo, et al.
Published: (2024)

Majorization and Inequalities among Complete Homogeneous Symmetric Functions
by: Xu, Jia, et al.
Published: (2025)

Diversity of Lipschitz-free spaces over countable complete discrete metric spaces
by: Basset, Estelle, et al.
Published: (2025)

Asymptotic structure. III. Excluding a fat tree
by: Nguyen, Tung, et al.
Published: (2025)

A characterisation of graphs quasi-isometric to $K_4$-minor-free graphs
by: Albrechtsen, Sandra, et al.
Published: (2024)

An optimal algorithm for average distance in typical regular graphs
by: Eskenazis, Alexandros, et al.
Published: (2025)

Order-2 Delaunay Triangulations Optimize Angles
by: Edelsbrunner, Herbert, et al.
Published: (2023)

$L_1$-distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids
by: Gartland, Chris, et al.
Published: (2026)

Triangulating surfaces quasi-isometrically
by: Georgakopoulos, Agelos, et al.
Published: (2026)

On metric characterizations of tree and fragmentability indices of Banach spaces
by: Basset, Estelle, et al.
Published: (2026)

Certified simultaneous isotopic approximation of curves via subdivision
by: Burr, Michael, et al.
Published: (2024)

Cylindrical Algebraic Decomposition in Macaulay2
by: Lee, Corin, et al.
Published: (2025)

O-Forge: An LLM + Computer Algebra Framework for Asymptotic Analysis
by: Khaitan, Ayush, et al.
Published: (2025)

Effective bounds for polynomial systems defined over the rationals
by: Krick, Teresa
Published: (2025)

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

Minimal laminations and level sets of 1-harmonic functions
by: Backus, Aidan
Published: (2023)

An Overview on Laakso Spaces
by: Capolli, Marco
Published: (2022)

Equi-affine minimal-degree moving frames for polynomial curves
by: Hong, Hoon, et al.
Published: (2024)

Stepanov theorem for mappings between metric spaces
by: Caamaño, Iván
Published: (2025)

Connections between metric differentiability and rectifiability
by: Caamaño, Iván, et al.
Published: (2024)

Rigidity of Higson coronas
by: Vignati, Alessandro
Published: (2025)

Putatively optimal projective spherical designs with little apparent symmetry
by: Elzenaar, Alex, et al.
Published: (2024)