Giorgos Chasapis

PhD, September 2018
Department of Mathematics
University of Athens

Research: Asymptotic Geometric Analysis

Publications

• Sharp estimates for the Cramer transform of log-concave measures and geometric applications
  with Silouanos Brazitikos, Preprint.
  pdf

• Haagerup's phase transition at polydisc slicing
  with Salil Singh and Tomasz Tkocz, Analysis & PDE 17 (2024), no. 7, 2509-2539.
  pdf

• Sharp Rosenthal-type inequalities for mixtures and log-concave variables
  with Alexandros Eskenazis and Tomasz Tkocz, Bulletin of the London Mathematical Society 55 (2023), no. 3, 1222-1239.
  pdf

• Entropies of sums of independent gamma random variables
  with Salil Singh and Tomasz Tkocz, Journal of Theoretical Probability 36 (2023), no. 2, 1227-1242.
  pdf

• Slicing l_p-balls reloaded: stability, planar sections in l_1
  with Piotr Nayar and Tomasz Tkocz, Annals of Probability 50 (2022), no. 6, 2344-2372.
  pdf

• Rademacher-Gaussian tail comparison for complex coefficients and related problems
  with Ruoyuan Liu and Tomasz Tkocz, Proceedings of the American Mathematical Society 150 (2022), no. 3, 1339-1349.
  pdf

• Sharp bounds on p-norms for sums of independent uniform random variables, 0 < p < 1
  with Keerthanna Gurushankar and Tomasz Tkocz, Journal d'Analyse Mathematique 149 (2023), no. 2, 529-553.
  pdf

• From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments
  with Hermann Konig and Tomasz Tkocz, Journal of Functional Analysis 281 (2021), no. 9, Paper No. 109185, 23 pp.
  pdf

• Norms of weighted sums of log-concave random vectors
  with Apostolos Giannopoulos and Nikos Skarmogiannis, Communications in Contemporary Mathematics 22 (2020), no. 4, 1950036, 31 pp.
  pdf

• Affine quermassintegrals of random polytopes
  with Nikos Skarmogiannis, Journal of Mathematical Analysis and Applications 479 (2019), 546-568.
  pdf

• Threshold phenomena for high-dimensional random polytopes
  with Gilles Bonnet, Julian Grote, Daniel Temesvari and Nicola Turchi, Communications in Contemporary Mathematics 21 (2019), Issue 05, 1850038.
  pdf

• A note on norms of signed sums of vectors
  with Nikos Skarmogiannis, Advances in Geometry 21 (2021), 5-14.
  pdf

• Extensions of Grinberg's inequality and of its functional form
  with Dimitris-Marios Liakopoulos, Preprint.
  pdf

• Estimates for measures of lower dimensional sections of convex bodies
  with Apostolos Giannopoulos and Dimitris-Marios Liakopoulos, Advances in Mathematics 306 (2017), 880-904.
  pdf

• Random approximation and the vertex index of convex bodies
  with Silouanos Brazitikos and Labrini Hioni, Archiv der Mathematik 108 (2017), 209-221.
  pdf

• Euclidean regularization in John's position
  with Apostolos Giannopoulos, Indiana University Mathematics Journal 65 (2016), 1877-1890.
  pdf

PhD Thesis

• Geometric Problems in Non-Linear Functional Analysis
  University of Athens, September 2018
  (in Greek, pdf)

MSc Thesis

• Metric type and cotype
  National Technical University of Athens, March 2014
  (in Greek, pdf)

Lecture Notes

• Topics on the Asymptotic Geometry of Random Polytopes
  Ruhr University Bochum, November 2017
  pdf