E. Werner

activity

19972022

most citedNew

L_{p}

Affine Isoperimetric Inequalities

153 citations · 485 across the 45 of their papers we have counts for

collaborators

Showing 2011 · math.FAShow all

3 papers · 2 filters

math.FA2011

On the approximation of a polytope by its dual $L_{p}$ -centroid bodies

Grigoris Paouris, Elisabeth M. Werner

We show that the rate of convergence on the approximation of volumes of a convex symmetric polytope P in R^n by its dual L_{p$-centroid bodies is independent of the geometry of P.…

math.FA2011

Relative entropies for convex bodies

Justin Jenkinson, Elisabeth Werner

We introduce a new class of (not necessarily convex) bodies and show, among other things, that these bodies provide yet another link between convex geometric analysis and informati…

math.FA2011★ 8 cited

Rényi Divergence and $L_{p}$ -affine surface area for convex bodies

Elisabeth M. Werner

We show that the fundamental objects of the $L_{p}$ -Brunn-Minkowski theory, namely the $L_{p}$ -affine surface areas for a convex body, are closely related to information theory: they a…

On the approximation of a polytope by its dual Lp​-centroid bodies

Relative entropies for convex bodies

Rényi Divergence and Lp​-affine surface area for convex bodies

On the approximation of a polytope by its dual $L_{p}$ -centroid bodies

Rényi Divergence and $L_{p}$ -affine surface area for convex bodies