Silouanos Brazitikos
Associate Professor, University of Crete
PhD, November 2017
Department of Mathematics
University of Athens
Research: Analysis
Geometry of isotropic convex bodies
Geometry of isotropic convex bodies
with Apostolos Giannopoulos, Petros Valettas and Beatrice-Helen Vritsiou
AMS-Mathematical Surveys and Monographs 196 (2014).
Publications
The dimension-free threshold for maximal sections of l_p balls
with Alexandros Eskenazis, Preprint.
pdf
Hermite-Fisher bounds and stability for min-entropy power inequalities
with Martin Rapaport and Tomasz Tkocz, Preprint.
pdf
Many facets in random polytopes from product and log-concave measures
with Minas Pafis, Preprint.
pdf
Thin-shell implies small-ball deviation via Gaussian tilts
with Emanuel Milman, Journal d' Analyse Mathematique (to appear).
A deterministic proof of the slicing theorem
Preprint.
Geometric bounds for the mean gauge and the mean width in isotropic position
with Christos Pandis, Preprint.
pdf
Restricted hyperplane sections of the cross-polytope and the simplex
with Christos Pandis, Journal of the London Mathematical Society (to appear).
pdf
Sharp estimates for conjugate functions with applications to trigonometric polynomials
Preprint.
Moments of sums of exponentials, beyond CHS
with Colin Tang and Tomasz Tkocz, Preprint.
On the maximal perimeter of isotropic log-concave probability measures
with Apostolos Giannopoulos, Antonios Hmadi and Natalia Tziotziou, Preprint.
Discrete log-concavity and threshold phenomena for atomic measures
with Minas Pafis, Preprint.
pdf
Sharp inequalities for symmetric polynomials, Hunter's conjecture, and moments of exponential random variables
with Christos Pandis, Preprint.
pdf
Sharp Estimates for some Integral-Geometric Quantities Related To Transversality, Curvature And Visibility
with Dimitrios-Marios Liakopoulos, Preprint.
pdfOn Sections of Convex Bodies in John's Position and of Generalised B_p^n Balls
with David Alonso-Gutierrez and Giorgos Chasapis, Mathematische Annalen (to appear).
List decoding of evaluation codes
with Theodoulos Garefalakis and Eleni Tzanaki, Preprint.
Sharp estimates for the Cramer transform of log-concave measures and geometric applications
with Giorgos Chasapis, Advances in Mathematics 478 (2025), Article 110407.
pdfOn some integral-geometric quantities related to transversality, curvature and visibility
with Anthony Carbery and Finlay McIntyre, Indiana University Mathematics Journal 74 (2025), no. 5, 1225-1255.
pdfThreshold for the expected measure of random polytopes
with Apostolos Giannopoulos and Minas Pafis, Mathematische Annalen 388 (2024), no. 3, 2991-3024.
pdfHalf-space depth of log-concave probability measures
with Apostolos Giannopoulos and Minas Pafis, Probability Theory and Related Fields 188 (2024), 309-336.
pdfOn a version of the slicing problem for the surface area of convex bodies
with Dimitrios-Marios Liakopoulos, Transactions of the American Mathematical Society 375 (2022), 5561-5586.
pdfVector-Valued Maclaurin Inequalities
with Finlay McIntyre, Communications in Contemporary Mathematics 24 (2022), no. 6, Paper No. 2150044, 24 pp.
pdfSections of convex bodies in John's and minimal surface area position
with David Alonso-Gutierrez, International Mathematics Research Notices (2023), no. 1, 243-297.
pdfContinuous version of the approximate geometric Brascamp-Lieb inequalities
with Apostolos Giannopoulos, Journal of Geometric Analysis 32 (2022), no. 6, 174.
pdfOn affine invariant and local Loomis-Whitney type inequalities
with David Alonso-Gutierrez, Julio Bernues and Anthony Carbery, Journal of the London Mathematical Society 103 (2021), no. 4, 1377-1401.
pdfReverse Loomis-Whitney inequalities via isotropicity
with David Alonso-Gutierrez, Proceedings of the American Mathematical Society 149 (2021), no. 2, 817-828.
pdfPolynomial estimates towards a sharp Helly-type theorem for the diameter of convex sets
Bulletin of the Hellenic Mathematical Society 62 (2018), 19-25.
pdfAn algorithmic regularity lemma for Lp regular sparse matrices
with Thodoris Karageorgos, SIAM Journal on Discrete Mathematics 31 No.4 (2017), 2301-2313.
pdfOn the average volume of sections of convex bodies
with Susanna Dann, Apostolos Giannopoulos and Alexander Koldobsky, Israel Journal of Mathematics 222 (2017), 921-947.
pdfUniform cover inequalities for the volume of coordinate sections and projections of convex bodies
with Apostolos Giannopoulos and Dimitrios-Marios Liakopoulos, Advances in Geometry 18 (2018), 345-354.
pdfRandom approximation and the vertex index of convex bodies
with Giorgos Chasapis and Labrini Hioni, Archiv der Mathematik 108 (2017), 209-221.
pdfQuantitative Helly-type theorem for the diameter of convex sets
Discrete and Computational Geometry 57 (2017), 494-505.
pdfBrascamp-Lieb inequality and quantitative versions of Helly's theorem
Mathematika 63 (2017), 272-291.
pdfSub-Gaussian directions of isotropic convex bodies
with Labrini Hioni, Journal of Mathematical Analysis and Applications 425 (2015), 919-927.
pdfOn the intersection of random rotations of a symmetric convex body
with Pantelis Stavrakakis, Math. Proc. Cambridge Philos. Soc. 157 (2014), 13-30.
pdf
PhD Thesis
Geometric Functional Analysis and Applications to Combinatorics
University of Athens, November 2017
(in Greek, pdf)
MSc Thesis
Kannan-Lovasz-Simonovits conjecture
University of Athens, February 2014
(in Greek, pdf)