The "M"-ellipsoid, symplectic capacities and volume
By Shiri Artstein-Avidan, V. Milman, Y. Ostrover. 2006
54 citations recorded by the source corpus.
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 ,
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/3e98a1af60eb2da9633237d3bda7aaa86123f360
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In Applied Mathematics
- Y. Ostrover
- Shiri Artstein-Avidan
- Florent Balacheff
- J. '. Paiva
- Sergey G. Bobkov
- V. Milman
- Otto van Koert
- Urs Frauenfelder
In Geometry and Topology
- Florent Balacheff
- Y. Ostrover
- Shiri Artstein-Avidan
- J. '. Paiva
- R. Leclercq
- Yong-Geun Oh
- Michael Entov
- Otto van Koert
Citations in the corpus
- Reverse Brunn–Minkowski and reverse entropy power inequalities for convex measures (2011, unknown): “52 87 v1 [ m at h. FA ] 2 4 Se p 20”
- Bounds for Minkowski Billiard Trajectories in Convex Bodies (2011, background): “both K1 and K2. This together with (9) completes the proof of Theorem 1.1. 3.2 Bounding ξ(K) in terms of Vol(K). The main ingredient we need for the proof of this theorem is the following result from [1], which provides a dimension-independent bound for a symplectic capacity of a convex body in term”
- Contact geometry and isosystolic inequalities (2011, background): “c ζ is the integral Action(ζ) := 1 2 ZT 0 hK(n(ζ(t)))dt . In [30] C. Viterbo asked whether the ball in Cn has the largest symplectic capacity among all convex bodies of a given volume. By and by (see [3] and [1]) this question has metamorphosed into the following Conjecture. Let K ⊂ Cn be a smooth c”