2021/06/03 by Ludovic Rifford, Rifford, Ludovic
Mathematics · #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2106.01914
openalex publication_date 2021/06/03 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28
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.