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Publication 14-CNA-007
On the Stability of the Polygonal Isoperimetric Inequality E. Indrei Levon Nurbekyan Abstract: We obtain a sharp lower bound on the isoperimetric deficit of a general polygon in terms of the variance of its side lengths, the variance of its radii, and its deviation from being convex. Our technique involves a functional minimization problem on a suitably constructed compact manifold and is based on the spectral theory for circulant matrices. Get the paper in its entirety as |
