Minas Pafis
PhD, May 2025
Department of Mathematics
University of Athens
Research: Analysis and Probability
Publications
Discrete log-concavity and threshold phenomena for atomic measures
with Silouanos Brazitikos, Preprint.
pdf
The isotropic constant in the theory of high-dimensional convex bodies
with Apostolos Giannopoulos and Natalia Tziotziou, Bulletin of the Hellenic Mathematical Society 69 (2025), 89-188.
On the deterministic interior body of random polytopes
with Natalia Tziotziou, Preprint.
Threshold for the expected measure of the convex hull of random points with independent coordinates
Bulletin of the London Mathematical Society 56 (2024), no. 1, 240-262.
pdfThreshold for the expected measure of random polytopes
with Silouanos Brazitikos and Apostolos Giannopoulos, Mathematische Annalen 388 (2024), no. 3, 2991-3024.
pdfHalf-space depth of log-concave probability measures
with Silouanos Brazitikos and Apostolos Giannopoulos, Probability Theory and Related Fields 188 (2024), 309-336.
pdf
PhD Thesis
Probability in High Dimension: Threshold phenomena for the measure of random polytopes
University of Athens, May 2025
(in Greek, pdf)
MSc Thesis
Entropy, hypercontractivity and Talagrand's inequalities
University of Athens, October 2020
(in Greek, pdf)