Unit:
Τομέας Μαθηματικής ΑνάλυσηςLibrary of the School of Science
Author:
Βριτσίου Βεατρίκη-Ελένη
Dissertation committee:
Απόστολος Γιαννόπουλος Καθηγητής
Original Title:
Γεωμετρία τών ισοτροπικών λογαριθμικά-κοίλων μέτρων
Translated title:
Geometry of isotropic logarithmically-concave measures
Summary:
We study geometric properties of isotropic convex bodies or, more generally,
isotropic logarithmically-concave measures. Two of the results in this thesis
are reductions of the hyperplane conjecture (or equivalently the isotropic
constant problem). We also present a purely geometric proof of the reverse
Santalo inequality that relies on basic properties of isotropic convex bodies.
Keywords:
Isotropic, log-concave measure, Convex body
