Beatrice-Helen Vritsiou

PhD, June 2013
Department of Mathematics
University of Athens

Publications

• Illuminating 1-unconditional convex bodies in R^3 and R^4, and certain cases in higher dimensions
  with Wen Rui Sun, Preprint.
  pdf

• On the illumination of 1-symmetric convex bodies
  with Wen Rui Sun, Preprint.
  pdf

• A bootstrap algorithm for fast supervised learning
  with M. Kouritzin and S. Styles, Preprint.
  pdf

• Regular ellipsoids and a Blaschke-Santalo-type inequality for projections of non-symmetric convex bodies
  Journal of Functional Analysis 286 (2024), no. 11, Article 110414.
  pdf

• A note on volume thresholds for random polytopes
  with D. Chakraborti and T. Tkocz, Geometriae Dedicata 213 (2021), 423-431.
  pdf

• Asymptotic normality for random simplices and convex bodies in high dimensions
  with D. Alonso-Gutierrez, F. Besau, J. Grote, Z. Kabluchko, M. Reitzner, C. Thale and E. Werner, Proceedings of the American Mathematical Society 149 (2021), no. 1, 355-367.
  pdf

• Improved bounds for Hadwiger's covering problem via thin-shell estimates
  with Han Huang, Boaz Slomka and Tomasz Tkocz, Journal of the European Mathematical Society, 24 (2022), no. 4, 1431-1448.
  pdf

• Selberg-type integrals and the variance conjecture for the operator norm
  Rocky Mountain Journal of Mathematics (to appear).
  pdf

• On the thin-shell conjecture for the Schatten classes
  with Jordan Radke, Annales de l’Institut Henri Poincare, Probability and Statistics 56 (2020), no. 1, 87-119.
  pdf

• Geometry of the L_q centroid bodies of an isotropic log-concave measure
  with Apostolos Giannopoulos, Pantelis Stavrakakis and Antonis Tsolomitis, Transactions of the American Mathematical Society 367 (2015), 4569-4593.
  pdf

• Further unifying two approaches to the hyperplane conjecture
  International Mathematics Research Notices 6 (2014), 1493-1514.
  pdf

• The isotropic position and the reverse Santalo inequality
  with Apostolos Giannopoulos and Grigoris Paouris, Israel Journal of Mathematics 203 (2014), 1-22.
  pdf

• A remark on the slicing problem
  with Apostolos Giannopoulos and Grigoris Paouris, Journal of Functional Analysis 262 (2012), 1062–1086.
  pdf

Geometry of isotropic convex bodies

• Geometry of isotropic convex bodies
  with Silouanos Brazitikos, Apostolos Giannopoulos and Petros Valettas
  AMS-Mathematical Surveys and Monographs 196 (2014).

PhD Thesis

• Geometry of isotropic log-concave measures
  University of Athens, June 2013
  (in Greek, pdf)

MSc Thesis

• Arithmetic progressions in the primes: the Green-Tao theorem
  University of Athens, October 2010
  (in Greek, pdf)