Author

Antonios Hmadi

h-index 1 View on Semantic Scholar

We have 3 of 5 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Aug 2026

Gaussian polytopes with large Banach-Mazur distance to the cross-polytope

Let $B_1^n$ be the standard cross-polytope in $\mathbb R^n$, let $g_1,\ldots,g_m$ be independent standard Gaussian vectors in $\mathbb R^n$, and set $G_m=\operatorname{conv}{\pm g_1,\ldots,\pm g_m}$. For $m=n^3$ it is proved that $$ \mathbb P\left\{d_{\mathrm{BM}}(G_m,B_1^n)\geqslant c n^{5/8}(\ln n)^{-5/8}\right\}\geq...

Antonios Hmadi · 0 citations

Preprint Jul 2026

Dimension-free cotype for isotropic log-concave random polytope spaces

Let $X_1,\ldots,X_N$ be independent random vectors in $\mathbb{R}^n$ with common isotropic log-concave distribution $\mu$ and set $P_{N,n}^{\mu}:=\operatorname{conv}\{\pm X_i:1\leqslant i\leqslant N\}$. Assume that $N/n=\gamma\geqslant \gamma_0$ where $\gamma_0>1$ is an absolute constant. We prove that with probability...

Antonios Hmadi · 0 citations

Preprint Aug 2026

Online balancing of vectors with small coordinates

A nonuniform version in which the failure probability depends on the individual parameters, and a lower bound showing that a universal constant prefix discrepancy is impossible when $d=o(\ln T)$, are proved.

Antonios Hmadi · 0 citations