A quantitative version of Tao's result on the Toeplitz Square Peg Problem
Classical Analysis and ODEs
2021-06-15 v2
Abstract
Building on a result by Tao, we show that a certain type of simple closed curve in the plane given by the union of the graphs of two -Lipschitz functions inscribes a square whose sidelength is bounded from below by a universal constant times the maximum of the difference of the two functions.
Keywords
Cite
@article{arxiv.2106.01914,
title = {A quantitative version of Tao's result on the Toeplitz Square Peg Problem},
author = {Ludovic Rifford},
journal= {arXiv preprint arXiv:2106.01914},
year = {2021}
}
Comments
25 pages, 9 figures