Silouanos Brazitikos
Assistant Professor, University of Crete
PhD, November 2017
Department of Mathematics
University of Athens
Research:
Analysis
Geometry of isotropic convex bodies
Publications

Threshold for the expected measure of random polytopes
with Apostolos Giannopoulos and Minas Pafis, Mathematische Annalen (to appear).
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Halfspace depth of logconcave probability measures
with Apostolos Giannopoulos and Minas Pafis, Probability Theory and Related Fields (to appear).
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On a version of the slicing problem for the surface area of convex bodies
with DimitrisMarios Liakopoulos, Transactions of the American Mathematical Society 375 (2022), 55615586.
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VectorValued Maclaurin Inequalities
with Finlay McIntyre, Communications in Contemporary Mathematics 24 (2022), no. 6, Paper No. 2150044, 24 pp.
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Sections of convex bodies in John's and minimal surface area position
with David AlonsoGutierrez, International Mathematics Research Notices (2023), No.1, 243297.
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Continuous version of the approximate geometric BrascampLieb inequalities
with Apostolos Giannopoulos, Journal of Geometric Analysis 32 (2022), no. 6, 174.
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On affine invariant and local LoomisWhitney type inequalities
with David AlonsoGutierrez, Julio Bernues and Anthony Carbery,
Journal of the London Mathematical Society 103 (2021), no. 4, 13771401.
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Reverse LoomisWhitney inequalities via isotropicity
with David AlonsoGutierrez, Proceedings of the American Mathematical Society 149 (2021), no. 2, 817828.
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Polynomial estimates towards a sharp Hellytype theorem for the diameter of convex sets
Bulletin of the Hellenic Mathematical Society 62 (2018), 1925.
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An algorithmic regularity lemma for L_{p} regular sparse matrices
with Thodoris Karageorgos, SIAM Journal on Discrete Mathematics 31 No.4 (2017), 23012313.
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On the average volume of sections of convex bodies
with Susanna Dann, Apostolos Giannopoulos and Alexander Koldobsky, Israel Journal of Mathematics 222 (2017), 921947.
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Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies
with Apostolos Giannopoulos and DimitrisMarios Liakopoulos, Advances in Geometry 18 (2018), 345354.
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Random approximation and the vertex index of convex bodies
with Giorgos Chasapis and Labrini Hioni, Archiv der Mathematik 108 (2017), 209221.
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Quantitative Hellytype theorem for the diameter of convex sets
Discrete and Computational Geometry 57 (2017), 494505.
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BrascampLieb inequality and quantitative versions of Helly's theorem
Mathematika 63 (2017), 272291.
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SubGaussian directions of isotropic convex bodies
with Labrini Hioni, Journal of Mathematical Analysis and Applications 425 (2015), 919927.
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On the intersection of random rotations of a symmetric convex body
with Pantelis Stavrakakis, Math. Proc. Cambridge Philos. Soc. 157 (2014), 1330.
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PhD Thesis
 Geometric Functional Analysis and Applications to Combinatorics
University of Athens, November 2017
(in Greek,
pdf)
MSc Thesis
 KannanLovaszSimonovits conjecture
University of Athens, February 2014
(in Greek,
pdf)