Minas Pafis

PhD, May 2025

Department of Mathematics

University of Athens

Research: Analysis and Probability

Publications

• The isotropic constant in the theory of high-dimensional convex bodies

with Apostolos Giannopoulos and Natalia Tziotziou (survey article).

pdf

• On the deterministic interior body of random polytopes

with Natalia Tziotziou, Preprint.

pdf

• 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.
  pdf

• Threshold for the expected measure of random polytopes
  with Silouanos Brazitikos and Apostolos Giannopoulos,  Mathematische  Annalen 388 (2024), no. 3, 2991-3024.
  pdf

• Half-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)