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19982005
most citedDynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra

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math.DG2003

Area Inequalities for Embedded Disks Spanning Unknotted Curves

Joel Hass, Jeffrey C. Lagarias, William P. Thurston

We show that a smooth unknotted curve in R^3 satisfies an isoperimetric inequality that bounds the area of an embedded disk spanning the curve in terms of two parameters: the lengt…