Average distortion embeddings, nonlinear spectral gaps, and a metric John theorem (after Assaf Naor)
Metric Geometry
2022-02-01 v1 Functional Analysis
Abstract
We survey various aspects of the theory of nonlinear spectral gaps. In particular, we present a self-contained proof of Naor's average John theorem.
Cite
@article{arxiv.2201.12620,
title = {Average distortion embeddings, nonlinear spectral gaps, and a metric John theorem (after Assaf Naor)},
author = {Alexandros Eskenazis},
journal= {arXiv preprint arXiv:2201.12620},
year = {2022}
}
Comments
Notes prepared for S\'eminaire Bourbaki. To appear in Ast\'erisque