Conference: 2nd Analysis Symposium, Samos, Greece, December 9th–10th, 2016 Talk:An inequality for moments of log-concave functions on Gaussian random vectors.
Publications
An inequality for moments of log-concave functions on Gaussian random vectors.
TO APPEAR, Geometric Aspects of Functional Analysis.
With G. Paouris.
Improved Hölder and reverse Hölder inequalities for correlated Gaussian random vectors.
Advances in Mathematics 280 (2015), 643-689.
With W-K Chen and G. Paouris. REFERENCES:4.
On mean outer radii of random polytopes.
Indiana University Mathematics Journal 63 (2014), 579-595.
With D.Alonso-Gutierrez, M.A. Hernandez Cifre and J.Prochno. REFERENCES:6.
Quermassintegrals and asymptotoc shape of random polytopes in an isotropic convex body.
Michigan Mathematical Journal 62 (2013), 59-79.
With A. Giannopolous and A.Tsolomitis. REFERENCES:11.
Estimates for the affine and dual affine quermassintegrals of convex bodies.
Illinois Journal of Mathematics 56 (2012), 1005-1021.
With G.Paouris. REFERENCES:12.
Small ball probablilty estimates, ψ2-behaviour and the hyperplane conjecture.
Journal of Functional Analysis 258 (2010), 1933-1964.
With G.Paouris. REFERENCES:37.
Asymptotic shape of a random polytope in a convex body.
Journal of Functional Analysis 257 (2009), 2820-2839.
With A. Giannopoulis and T. Tsolomitis. REFERENCES:21.
On the isotropic constant of random polytopes.
Advances in Geometry 10 (2010), 311-321.
With A. Giannopoulis and O. Guédon. REFERENCES:19.