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 2017 · math.FAShow all

2 papers · 2 filters

math.FA2017

Dichotomies, structure, and concentration in normed spaces

Grigoris Paouris, Petros Valettas

We use probabilistic, topological and combinatorial methods to establish the following deviation inequality: For any normed space $X = (R^{n}, ∥ \cdot ∥)$ there exists an inve…

math.FA2017

Variance estimates and almost Euclidean structure

Grigoris Paouris, Petros Valettas

We introduce and initiate the study of new parameters associated with any norm and any log-concave measure on $R^{n}$ , which provide sharp distributional inequalities. In the…