Kevin Ren

collaborators

2 papers

math.FA2026

Euclidean embedding, randomized clustering, and Lipschitz extension for finite and doubling subsets of $L_{p}$ when $p > 2$

Assaf Naor, Kevin Ren

Fix $p > 2$ . We prove that the Euclidean distortion of every $n$ -point subset of $L_{p}$ is $p^{3} (lo g n)^{\frac{1}{2} + o (1)}$ , thus, in particular, demonstrating that all $n$ -point subsets…

math.MG2025

Random zero sets with local growth guarantees

Alan Chang, Assaf Naor, Kevin Ren

We prove that if $(M, d)$ is an $n$ -point metric space that embeds quasisymmetrically into a Hilbert space, then for every $I ¨ > 0$ there is a random subset $Z$ of…

Euclidean embedding, randomized clustering, and Lipschitz extension for finite and doubling subsets of Lp​ when p>2

Random zero sets with local growth guarantees

Euclidean embedding, randomized clustering, and Lipschitz extension for finite and doubling subsets of $L_{p}$ when $p > 2$