60 citations · 120 across the 20 of their papers we have counts for
4 papers · 1 filter
Mixed integrals and related inequalities
Vitali Milman, Liran Rotem
In this paper we define an addition operation on the class of quasi-concave functions. While the new operation is similar to the well-known sup-convolution, it has the property tha…
Support functions and mean width for α-concave functions
Liran Rotem
In this paper we extend some notions, previously defined for log-concave functions, to the larger domain of so-called α-concave functions. We begin with a detailed discussion of su…
Characterization of self-polar convex functions
Liran Rotem
In a work by Artstein-Avidan and Milman the concept of polarity is generalized from the class of convex bodies to the larger class of convex functions. While the only self-polar co…
On the mean width of log-concave functions
Liran Rotem
In this work we present a new, natural, definition for the mean width of log-concave functions. We show that the new definition coincide with a previous one by B. Klartag and V. Mi…