7 citations · 15 across the 14 of their papers we have counts for
5 papers · 1 filter
A strengthening of the dimensional Brunn-Minkowski conjecture implies the (B)-conjecture
Sotiris Armeniakos, Jacopo Ulivelli
We prove that if a sufficiently regular even log-concave measure satisfies a certain stronger form of the dimensional Brunn-Minkowski conjecture, then it also satisfies the (B)-con…
A new infinitesimal form of the Prékopa-Leindler inequality with multiplicative structure and applications
Sotiris Armeniakos, Jacopo Ulivelli
By differentiating a concavity principle arising from the Prékopa-Leindler inequality, we obtain a statement simultaneously strengthening the weighted boundary Poincaré inequality…
Inequalities and counterexamples for functional intrinsic volumes and beyond
Fabian Mussnig, Jacopo Ulivelli
We show that analytic analogs of Brunn-Minkowski-type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and…
Polynomial valuations on convex functions and their maximal extensions
Jonas Knoerr, Jacopo Ulivelli
Extension problems for polynomial valuations on different cones of convex functions are investigated. It is shown that for the classes of functions under consideration, the extensi…
The (Self-Similar, Variational) Rolling Stones
Dylan Langharst, Jacopo Ulivelli
The interplay between variational functionals and the Brunn-Minkowski Theory is a well-established phenomenon widely investigated in the last thirty years. In this work, we prove t…