25 citations · 37 across the 5 of their papers we have counts for
5 papers
α-concave functions and a functional extension of mixed volumes
Vitali Milman, Liran Rotem
Mixed volumes, which are the polarization of volume with respect to the Minkowski addition, are fundamental objects in convexity. In this note we announce the construction of mixed…
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…