4 papers
On the maximal perimeter of isotropic log-concave probability measures
Silouanos Brazitikos, Apostolos Giannopoulos, Antonios Hmadi +1
We study the maximal perimeter constant of isotropic log-concave probability measures on . For a measure , this quantity, denoted by , is defined as the supr…
Sections and projections of the outer and inner regularizations of a convex body
Natalia Tziotziou
We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its in…
On the deterministic interior body of random polytopes
Minas Pafis, Natalia Tziotziou
Let be a sequence of independent copies of a random vector in . We revisit the question to determine the asymptotic shape of the random p…
Topological and algebraic genericity and spaceability for an extended chain of sequence spaces
M. Axarlis, I. Deliyanni, Th. Loukidou +3
We examine topological and algebraic genericity and spaceability for any pair , , belonging to an extended chain of sequence spaces which contains the…