Minas Pafis

PhD, May 2025
Department of Mathematics
University of Athens

Research: Analysis and Probability

Publications

• Cramer transform, half-space depth and threshold phenomena for convex bodies
  Preprint.
  pdf

• Many facets in random polytopes from product and log-concave measures
  with Silouanos Brazitikos, Preprint.
  pdf

• Variance lower bounds for geometric functionals of rotationally invariant log-concave random polytopes
  with Christos Pandis, Preprint.
  pdf

• Geometry of the subgaussian body of an isotropic convex body
  with Apostolos Giannopoulos and Natalia Tziotziou, Preprint.
  pdf

• 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.
  pdf

• On the deterministic interior body of random polytopes
  with Natalia Tziotziou, Journal of the London Mathematical Society, Volume 114, Issue 2 (2026), e70665.
  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)