Grigoris Paouris

collaborators

2 papers

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…

math.FA2014

Neighborhoods on the Grasmannian of marginals with bounded isotropic constant

Grigoris Paouris, Petros Valettas

We show that for any isotropic log-concave probability measure $μ$ on $R^{n}$ , for every $ε > 0$ , every $1 \leq k \leq n$ and any $E \in G_{n, k}$ there exist…