Natalia Tziotziou
PhD Candidate
School of Applied Mathematical and Physical Sciences
National Technical University of Athens
Research: Analysis, Convex Geometry
Publications
On the maximal perimeter of isotropic log-concave probability measures
with Silouanos Brazitikos, Apostolos Giannopoulos and Antonios Hmadi, Preprint.
Regular functional covering numbers
with Apostolos Giannopoulos, International Mathematics Research Notices, Volume 2026, Issue 5, Paper No. rnag035.
Sections and projections of the outer and inner regularizations of a convex body
Preprint.
The isotropic constant in the theory of high-dimensional convex bodies
with Apostolos Giannopoulos and Minas Pafis, Bulletin of the Hellenic Mathematical Society 69 (2025), 89-188.
On the deterministic interior body of random polytopes
with Minas Pafis, Preprint.
Moments of the Cramer transform of log-concave probability measures
with Apostolos Giannopoulos, Journal of Functional Analysis, Volume 290 (2026), Issue 10, Paper No. 111423.
Inequalities for sections and projections of log-concave functions
Journal of Geometric Analysis, Volume 36 (2026), no. 4, Article Number: 145.
pdf
Topological and algebraic genericity and spaceability for an extended chain of sequence spaces
with M. Axarlis, I. Deliyanni, Th. Loukidou, V. Nestoridis and K. Papanikos,
Monatshefte fur Mathematik 200 (2023), 495-505.
pdf
MSc Thesis
Hadwiger's covering problem
University of Athens, March 2023
(in Greek, pdf)