Open AccessThe $M$-ellipsoid, symplectic capacities and volume
Author(s) -
Shiri Artstein-Avidan,
Vitali Milman,
Yaron Ostrover
Publication year - 2008
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/127
Subject(s) - symplectic geometry , mathematics , convex body , ellipsoid , regular polygon , dimension (graph theory) , radius , symplectomorphism , pure mathematics , geometry , mathematical analysis , convex optimization , physics , computer science , computer security , astronomy
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 ,
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