Silouanos Brazitikos
PhD, November 2017
Department of Mathematics
University of Athens
Research:
Analysis
Geometry of isotropic convex bodies
Publications

Polynomial estimates towards a sharp Hellytype theorem for the diameter of convex sets
Bulletin of the Hellenic Mathematical Society 62 (2018), 1925.
pdf

An algorithmic regularity lemma for L_{p} regular sparse matrices
with Thodoris Karageorgos, SIAM Journal on Discrete Mathematics 31 No.4 (2017), 23012313.
pdf

On the average volume of sections of convex bodies
with Susanna Dann, Apostolos Giannopoulos and Alexander Koldobsky, Israel Journal of Mathematics 222 (2017), 921947.
pdf

Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies
with Apostolos Giannopoulos and DimitrisMarios Liakopoulos, Advances in Geometry (to appear).
pdf

Random approximation and the vertex index of convex bodies
with Giorgos Chasapis and Labrini Hioni, Archiv der Mathematik 108 (2017), 209221.
pdf

Quantitative Hellytype theorem for the diameter of convex sets
Discrete and Computational Geometry 57 (2017), 494505.
pdf

Continuous version of the approximate geometric BrascampLieb inequalities
with Apostolos Giannopoulos, Preprint.
pdf

BrascampLieb inequality and quantitative versions of Helly's theorem
Mathematika 63 (2017), 272291.
pdf

SubGaussian directions of isotropic convex bodies
with Labrini Hioni, Journal of Mathematical Analysis and Applications 425 (2015), 919927.
pdf

On the intersection of random rotations of a symmetric convex body
with Pantelis Stavrakakis, Math. Proc. Cambridge Philos. Soc. 157 (2014), 1330.
pdf
PhD Thesis
 Geometric Functional Analysis and Applications to Combinatorics
University of Athens, November 2017
(in Greek,
pdf)
MSc Thesis
 KannanLovaszSimonovits conjecture
University of Athens, February 2014
(in Greek,
pdf)