Mathieu Meyer
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Mathieu Meyer has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Vladyslav Yaskin
Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
4 shared publications - Shlomo Reisner
Department of Mathematics University of Haifa Haifa 31905 Israel
3 shared publications - Dmitry Ryabogin
Department of Mathematics, Kent State University, Kent, USA
2 shared publications - Fedor Nazarov
Department of Mathematics, Kent State University, Kent, USA
2 shared publications - Matthieu Fradelizi
LAMA ( UMR 8050) Université Paris-Est UPEM UPEC CNRS F-77454 Marne-la-Valle FRANCE
2 shared publications
Latest Publications
- 1 January 2019
- Published by Wiley in Mathematika
- Vol. 65 (3) , 500-504
ELLIPSOIDS ARE THE ONLY LOCAL MAXIMIZERS OF THE VOLUME PRODUCT
- 1 January 2019
- Published by Wiley in Mathematika
- Vol. 65 (3) , 500-504
ELLIPSOIDS ARE THE ONLY LOCAL MAXIMIZERS OF THE VOLUME PRODUCT
- Open Access
Ellipsoids are the only local maximizers of the volume product
Using previous results about shadow systems and Steiner symmetrization, we prove that the local maximizers of the volume product of convex bodies are actually the global maximizers, that is: ellipsoids.
Open AccessEllipsoids are the only local maximizers of the volume product
Using previous results about shadow systems and Steiner symmetrization, we prove that the local maximizers of the volume product of convex bodies are actually the global maximizers, that is: ellipsoids.
- 17 July 2018
- Published by Wiley in Bulletin of the London Mathematical Society
- Vol. 50 (4) , 745-752
Grünbaum‐type inequality for log‐concave functions
- 17 July 2018
- Published by Wiley in Bulletin of the London Mathematical Society
- Vol. 50 (4) , 745-752
Grünbaum‐type inequality for log‐concave functions
- Open Access
Generalized Grünbaum inequality
Let $f$ be an integrable log-concave function on ${\mathbb R^n}$ with the center of mass at the origin. We show that $\int\limits_0^{\infty}f(s\theta)ds\ge e^{-n}\int\limits_{-\infty}^{\infty}f(s\theta)ds$ for every $ \theta\in S^{n-1}$, and the constant $e^{-n}$ is the best possible.Open AccessGeneralized Grünbaum inequality
Let $f$ be an integrable log-concave function on ${\mathbb R^n}$ with the center of mass at the origin. We show that $\int\limits_0^{\infty}f(s\theta)ds\ge e^{-n}\int\limits_{-\infty}^{\infty}f(s\theta)ds$ for every $ \theta\in S^{n-1}$, and the constant $e^{-n}$ is the best possible. - Open Access
- 23 January 2017
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 145 (7) , 3153-3164
On the volume of sections of a convex body by cones
We prove that in small codimensions, the sections of a convex body in R n \mathbb R^n through its centroid are quite symmetric with respect to volume. As a consequence of our estimates we give a positive answer to a problem posed by M. Meyer and S. Reisner regarding convex intersection bodies.
- 23 January 2017
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 145 (7) , 3153-3164
Open AccessOn the volume of sections of a convex body by cones
We prove that in small codimensions, the sections of a convex body in R n \mathbb R^n through its centroid are quite symmetric with respect to volume. As a consequence of our estimates we give a positive answer to a problem posed by M. Meyer and S. Reisner regarding convex intersection bodies.
- Open Access
On the volume of sections of a convex body by cones
Let $K$ be a convex body in $\mathbb R^n$. We prove that in small codimensions, the sections of a convex body through the centroid are quite symmetric with respect to volume. As a consequence of our estimates we give a positive answer to a problem posed by M. Meyer and S. Reisner regarding convex intersection bodies.Open AccessOn the volume of sections of a convex body by cones
Let $K$ be a convex body in $\mathbb R^n$. We prove that in small codimensions, the sections of a convex body through the centroid are quite symmetric with respect to volume. As a consequence of our estimates we give a positive answer to a problem posed by M. Meyer and S. Reisner regarding convex intersection bodies. - Open Access
The isotropy constant and boundary properties of convex bodies
Let ${\cal K}^n$ be the set of all convex bodies in $\mathbb R^n$ endowed with the Hausdorff distance. We prove that if $K\in {\cal K}^n$ has positive generalized Gauss curvature at some point of its boundary, then $K$ is not a local maximizer for the isotropy constant $L_K$.Open AccessThe isotropy constant and boundary properties of convex bodies
Let ${\cal K}^n$ be the set of all convex bodies in $\mathbb R^n$ endowed with the Hausdorff distance. We prove that if $K\in {\cal K}^n$ has positive generalized Gauss curvature at some point of its boundary, then $K$ is not a local maximizer for the isotropy constant $L_K$.