The M-ellipsoid, symplectic capacities and volume

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Abstract

In this work we bring together tools and ideology from two different fields, symplectic geometry and asymptotic geometric analysis, to arrive at some new results. Our main result is a dimension-independent bound for the symplectic capacity of a convex body by its volume radius. © Swiss Mathematical Society.

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Axtstein-Avidan, S., Milman, V., & Ostrover, Y. (2008). The M-ellipsoid, symplectic capacities and volume. Commentarii Mathematici Helvetici, 83(2), 359–369. https://doi.org/10.4171/cmh/127

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