G. Paouris

activity

20062026

most citedRelative entropy of cone measures and

L_{p}

centroid bodies

141 citations · 238 across the 33 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.MG2024

Empirical forms of the Petty projection inequality

Grigoris Paouris, Peter Pivovarov, Kateryna Tatarko

The Petty projection inequality is a fundamental affine isoperimetric principle for convex sets. It has shaped several directions of research in convex geometry which forged new co…

math.ST2024

Can we spot a fake?

Shahar Mendelson, Grigoris Paouris, Roman Vershynin

The problem of detecting fake data inspires the following seemingly simple mathematical question. Sample a data point $X$ from the standard normal distribution in $R^{n}$ . A…

math.PR2024

Small Ball Probabilities for Simple Random Tensors

Xuehan Hu, Grigoris Paouris

We study the small ball probability of an order- $ℓ$ simple random tensor $X = X^{(1)} \otimes \dots \otimes X^{(ℓ)}$ where $X^{(i)}, 1 \leq i \leq ℓ$ are independent random vecto…