Antonis Tsolomitis

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19962016

L_{q}

-centroid bodies of an isotropic log-concave measure

1 citations · 2 across the 4 of their papers we have counts for

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math.MG2016

Asymptotic shape of the convex hull of isotropic log-concave random vectors

Apostolos Giannopoulos, Labrini Hioni, Antonis Tsolomitis

Let $x_{1}, \dots, x_{N}$ be independent random points distributed according to an isotropic log-concave measure $μ$ on $R^{n}$ , and consider the random polytope $$K_N:={\rm co…

math.MG2016

Geometry of random sections of isotropic convex bodies

Apostolos Giannopoulos, Labrini Hioni, Antonis Tsolomitis

Let $K$ be an isotropic symmetric convex body in $R^{n}$ . We show that a subspace $F \in G_{n, n - k}$ of codimension $k = γ n$ , where $γ \in (1/ n, 1)$ , satisfies $$K\cap F\s…

math.MG1996★ 1 cited

A note on the $M^{*}$ --limiting convolution body

Antonis Tsolomitis

We introduce the mixed convolution bodies of two convex symmetric bodies. We prove that if the boundary of a body $K$ is smooth enough then as $δ$ tends to $1$ the $δ$ -- $M^{*}$ --conv…

Asymptotic shape of the convex hull of isotropic log-concave random vectors

Geometry of random sections of isotropic convex bodies

A note on the M∗--limiting convolution body

A note on the $M^{*}$ --limiting convolution body