13 citations · 47 across the 16 of their papers we have counts for
6 papers · 1 filter
Dual Affine invariant points
Mathieu Meyer, Carsten Schuett, Elisabeth M. Werner
An affine invariant point on the class of convex bodies in R^n, endowed with the Hausdorff metric, is a continuous map p which is invariant under one-to-one affine transformations…
Affine invariant points
Mathieu Meyer, Carsten Schuett, Elisabeth M. Werner
We answer in the negative a question by Gruenbaum who asked if there exists a finite basis of affine invariant points. We give a positive answer to another question by Gruenbaum ab…
The GL-l.u.st.\ constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions
Y. Gordon, M. Junge, M. Meyer +1
We prove that the Kalton-Peck twisted sum of -dimensional Hilbert spaces has GL-l.u.st.\ constant of order and bounded GL constant. This is the first concrete e…
A convex body whose centroid and Santaló point are far apart
Mathieu Meyer, Carsten Schütt, Elisabeth M. Werner
We give an example of a convex body whose centroid and Santaló point are "far apart".
Some functional forms of Blaschke-Santaló inequality
Matthieu Fradelizi, Mathieu Meyer
We establish new functional versions of the Blaschke-Santaló inequality on the volume product of a convex body which generalize to the non-symmetric setting an inequality of K. Bal…
The volume of the intersection of a convex body with its translates
Mathieu Meyer, Shlomo Reisner, M. Schmuckenschlager
It is proved that for a symmetric convex body K in R^n, if for some tau > 0, |K cap (x+tau K)| depends on ||x||_K only, then K is an ellipsoid. As a part of the proof, smoothness p…