paper
A sharp quantitative version of Hales' isoperimetric honeycomb theorem
Marco Caroccia, Francesco Maggi
A sharp quantitative version of Hales' isoperimetric honeycomb theorem
Marco Caroccia, Francesco Maggi
paper2014-10-22English
quantitative financearxiv
Description
We prove a sharp quantitative version of Hales' isoperimetric honeycomb theorem by exploiting a quantitative isoperimetric inequality for polygons and an improved convergence theorem for planar bubble clusters. Further applications include the description of isoperimetric tilings of the torus with respect to almost unit-area constraints or with respect to almost flat Riemannian metrics.
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