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 2026Show all

7 papers · 1 filter

math.FA2026

On complementation and $L$ -embedding of Lipschitz-free spaces in their biduals

Bruno M. Braga, Chris Gartland, Gilles Lancien +3

A closed subspace $E$ of a Banach space $F$ is \emph{ $L$ -embedded in $F$ } if there is a projection $P : F \to E$ such that $∥ x ∥ = ∥ P x ∥ + ∥ x - P x ∥$ for all $x \in F$ . We show that…

math.FA2026

On the $L$ -embeddability of Lipschitz-free spaces in their biduals

Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3

A Banach space $X$ is $L$ -embedded in its bidual if there is a projection $P : X^{**} \to X$ such that $∥ x ∥ = ∥ P x ∥ + ∥ x - P x ∥$ for all $x \in X^{**}$ . We show that, as long as $X…

math.GR2026

Uniformly Lipschitz Hyperbolic Group Actions on $ℓ^{p}$

Chris Gartland, Tianyi Zheng

Let $Γ$ be a finitely generated hyperbolic group, and let $Q$ denote the conformal dimension of its Gromov boundary $\partial Γ$ . We prove that for every $p < \frac{Q}{Q - 1}$ , the gr…

math.FA2026

Expanders prevent Property (H)

Bruno de Mendonç Braga, Chris Gartland, Gilles Lancien +3

We show that if a sequence of expander graphs equi-coarsely embeds into a Banach space, then this Banach space fails Kasparov and Yu's Property (H). Consequently, no Banach space w…

math.GR2026

$L_{1}$ Actions and Embeddings of Property A Spaces

Chris Gartland, Ignacio Vergara, Tianyi Zheng

We provide several new characterizations of Property A for bounded degree graphs. In particular, we show that $(X, d)$ has Property A if and only if there is a proper gauge $ω$ such…

math.FA2026

$L_{1}$ -distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids

Chris Gartland, Mikhail Ostrovskii, Yuval Rabani +1

We prove that the distortion of any embedding into $L_{1}$ of the transportation cost space or earth mover distance over a $d$ -dimensional grid ${1, \dots m}^{d}$ is $Ω (lo g N)$ , wher…

math.FA2026★ 1 cited

Lower Estimates for $L_{1}$ -Distortion of Transportation Cost Spaces

Chris Gartland, Mikhail Ostrovskii

Quantifying the degree of dissimilarity between two probability distributions on a finite metric space is a fundamental task in Computer Science and Computer Vision. A natural diss…

On complementation and L-embedding of Lipschitz-free spaces in their biduals

On the L-embeddability of Lipschitz-free spaces in their biduals

Uniformly Lipschitz Hyperbolic Group Actions on ℓp

Expanders prevent Property (H)

L1​ Actions and Embeddings of Property A Spaces

L1​-distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids

Lower Estimates for L1​-Distortion of Transportation Cost Spaces

On complementation and $L$ -embedding of Lipschitz-free spaces in their biduals

On the $L$ -embeddability of Lipschitz-free spaces in their biduals

Uniformly Lipschitz Hyperbolic Group Actions on $ℓ^{p}$

$L_{1}$ Actions and Embeddings of Property A Spaces

$L_{1}$ -distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids

Lower Estimates for $L_{1}$ -Distortion of Transportation Cost Spaces