3 papers
math.MG2022
On a version of the slicing problem for the surface area of convex bodies
Silouanos Brazitikos, Dimitris-Marios Liakopoulos
We study the slicing inequality for the surface area instead of volume. This is the question whether there exists a constant depending (or not) on the dimension so that $…
math.MG2018
Reverse Brascamp-Lieb inequality and the dual Bollobas-Thomason inequality
Dimitris-Marios Liakopoulos
The purpose of this article is to establish the dual version of the uniform cover inequality of Bollobas and Thomason.
math.MG2016
Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies
S. Brazitikos, A. Giannopoulos, D-M. Liakopoulos
The classical Loomis-Whitney inequality and the uniform cover inequality of Bollobás and Thomason provide lower bounds for the volume of a compact set in terms of its lower dimensi…