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arXiv · 2106.01914

A quantitative version of Tao's result on the Toeplitz Square Peg Problem

Ludovic Rifford
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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 $1$-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.

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Ludovic Rifford. 2021-06-03. A quantitative version of Tao's result on the Toeplitz Square Peg Problem. https://arxiv.org/abs/2106.01914

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