Square pegs between two graphs

We show that there always exists an inscribed square in a Jordan curve given as the union of two graphs of functions of Lipschitz constant less than $1 + \sqrt{2}$. We are motivated by Tao's result that there exists such a square in the case of Lipschitz constant less than $1$. In the case of L...

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Bibliographische Detailangaben

Hauptverfasser:	Greene, Joshua Evan, Lobb, Andrew
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics Mathematics - Geometric Topology Mathematics - Metric Geometry Mathematics - Symplectic Geometry
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