Towards a bilipschitz invariant theory
Functional Analysis
2024-04-11 v3 Information Theory
math.IT
Metric Geometry
Abstract
Consider the quotient of a Hilbert space by a subgroup of its automorphisms. We study whether this orbit space can be embedded into a Hilbert space by a bilipschitz map, and we identify constraints on such embeddings.
Cite
@article{arxiv.2305.17241,
title = {Towards a bilipschitz invariant theory},
author = {Jameson Cahill and Joseph W. Iverson and Dustin G. Mixon},
journal= {arXiv preprint arXiv:2305.17241},
year = {2024}
}