C. Gartland

activity

20162026

most citedPurely 1-unrectifiable metric spaces and locally flat Lipschitz functions

19 citations · 23 across the 14 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.FA2022

Lipschitz Functions on Unions and Quotients of Metric Spaces

David M. Freeman, Chris Gartland

Given a finite collection ${X_{i}}_{i \in I}$ of metric spaces, each of which has finite Nagata dimension and Lipschitz free space isomorphic to $L^{1}$ , we prove that their union has…

math.MG2022

$L_{1}$ -distortion of Wasserstein metrics: a tale of two dimensions

Florent P. Baudier, Chris Gartland, Thomas Schlumprecht

By discretizing an argument of Kislyakov, Naor and Schechtman proved that the 1-Wasserstein metric over the planar grid ${0, 1, \dots n}^{2}$ has $L_{1}$ -distortion bounded below by a…

math.MG2022

Lipschitz Functions on Quasiconformal Trees

David M. Freeman, Chris Gartland

We first identify (up to linear isomorphism) the Lipschitz free spaces of quasiarcs. By decomposing quasiconformal trees into quasiarcs as done in an article of David, Eriksson-Biq…

Lipschitz Functions on Unions and Quotients of Metric Spaces

L1​-distortion of Wasserstein metrics: a tale of two dimensions

Lipschitz Functions on Quasiconformal Trees

$L_{1}$ -distortion of Wasserstein metrics: a tale of two dimensions