17 citations · 41 across the 10 of their papers we have counts for
15 papers
On Sections of Convex Bodies in John's Position and of Generalised Balls
David Alonso-Gutiérrez, Silouanos Brazitikos, Giorgos Chasapis
We revisit an ingenious argument of K. Ball to provide sharp estimates for the volume of sections of a convex body in John's position. Our technique combines the geometric Brascamp…
Sharp estimates for the Cramér transform of log-concave measures and geometric applications
Silouanos Brazitikos, Giorgos Chasapis
We establish a new comparison between the Legendre transform of the cumulant generating function and the half-space depth of an arbitrary log-concave probability distribution on th…
Haagerup's phase transition at polydisc slicing
Giorgos Chasapis, Salil Singh, Tomasz Tkocz
We establish a sharp comparison inequality between the negative moments and the second moment of the magnitude of sums of independent random vectors uniform on three-dimensional Eu…
Sharp Rosenthal-type inequalities for mixtures and log-concave variables
Giorgos Chasapis, Alexandros Eskenazis, Tomasz Tkocz
We obtain Rosenthal-type inequalities with sharp constants for moments of sums of independent random variables which are mixtures of a fixed distribution. We also identify extremis…
Entropies of sums of independent gamma random variables
Giorgos Chasapis, Salil Singh, Tomasz Tkocz
We establish several Schur-convexity type results under fixed variance for weighted sums of independent gamma random variables and obtain nonasymptotic bounds on their Rényi entrop…
Slicing -balls reloaded: stability, planar sections in
Giorgos Chasapis, Piotr Nayar, Tomasz Tkocz
We show that the two-dimensional minimum-volume central section of the -dimensional cross-polytope is attained by the regular -gon. We establish stability-type results for h…
Rademacher-Gaussian tail comparison for complex coefficients and related problems
Giorgos Chasapis, Ruoyuan Liu, Tomasz Tkocz
We provide a generalisation of Pinelis' Rademacher-Gaussian tail comparison to complex coefficients. We also establish uniform bounds on the probability that the magnitude of weigh…
Sharp bounds on -norms for sums of independent uniform random variables,
Giorgos Chasapis, Keerthana Gurushankar, Tomasz Tkocz
We provide a sharp lower bound on the -norm of a sum of independent uniform random variables in terms of its variance when . We address an analogous question for -…
From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments
Giorgos Chasapis, Hermann König, Tomasz Tkocz
We establish a sharp moment comparison inequality between an arbitrary negative moment and the second moment for sums of independent uniform random variables, which extends Ball's…
Affine quermassintegrals of random polytopes
Giorgos Chasapis, Nikos Skarmogiannis
A question related to some conjectures of Lutwak about the affine quermassintegrals of a convex body in asks whether for every convex body in ${\mathbb R}^n…
Norms of weighted sums of log-concave random vectors
Giorgos Chasapis, Apostolos Giannopoulos, Nikos Skarmogiannis
Let and be centrally symmetric convex bodies of volume in . We provide upper bounds for the multi-integral expression \begin{equation*}\|{\bf t}\|_{C^s,K…
A note on norms of signed sums of vectors
Giorgos Chasapis, Nikos Skarmogiannis
Our starting point is an improved version of a result of D. Hajela related to a question of Komlós: we show that if is a function such that $\lim\limits_{n\to\infty }f(n)=\i…
Threshold phenomena for high-dimensional random polytopes
Gilles Bonnet, Giorgos Chasapis, Julian Grote +2
Let , , be independent random points in , distributed according to the so-called beta or beta-prime distribution, respectively. We establish thre…
Estimates for measures of lower dimensional sections of convex bodies
Giorgos Chasapis, Apostolos Giannopoulos, Dimitris-Marios Liakopoulos
We present an alternative approach to some results of Koldobsky on measures of sections of symmetric convex bodies, which allows us to extend them to the not necessarily symmetric…
Random approximation and the vertex index of convex bodies
Silouanos Brazitikos, Giorgos Chasapis, Labrini Hioni
We prove that there exists an absolute constant with the following property: if is a convex body in whose center of mass is at the origin, then a random s…