83 citations · 134 across the 29 of their papers we have counts for
6 papers · 1 filter
Functional Brunn-Minkowski Inequalities Induced by Polarity
Shiri Artstein-Avidan, Dan I. Florentin, Alexander Segal
We prove a new family of inequalities, which compare the integral of a geometric convolution of non-negative functions with the integrals of the original functions. For classical i…
Functional Covering Numbers
Shiri Artstein-Avidan, Boaz A. Slomka
We define covering and separation numbers for functions. We investigate their properties, and show that for some classes of functions there is exact equality of separation and cove…
Order Isomorphisms on Convex Functions in Windows
S. Artstein-Avidan, D. I. Florentin, V. D. Milman
In this paper we give a characterization of all order isomorphisms on some classes of convex functions. We deal with the class consisting of lower-semi-continuous convex f…
A note on Santaló inequality for the polarity transform and its reverse
Shiri Artstein-Avidan, Boaz Slomka
We prove a Santaló and a reverse Santaló inequality for the polarity transform, which was recently re-discovered by Artstein-Avidan and Milman, in the class consisting of (even) lo…
Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality
S. Artstein-Avidan, B. Klartag, C. Schuett +1
We give a functional version of the affine isoperimetric inequality for log-concave functions which may be interpreted as an inverse form of a logarithmic Sobolev inequality inequa…
Polynomial bounds for large Bernoulli sections of
Shiri Artstein-Avidan, Omer Friedland, Vitali Milman +1
We prove a quantitative version of the bound on the smallest singular value of a Bernoulli covariance matrix (due to Bai and Yin). Then we use this bound, together with several rec…