5 citations · 5 across the 1 of their papers we have counts for
3 papers
math.FA2024
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…
math.CO2021★ 5 cited
Energy estimates in sum-product and convexity problems
Akshat Mudgal
We prove a new class of low-energy decompositions which, amongst other consequences, imply that any finite set of integers may be written as , where and a…
math.MG2019
A homogeneous decomposition theorem for valuations on convex functions
A. Colesanti, M. Ludwig, F. Mussnig
The existence of a homogeneous decomposition for continuous and epi-translation invariant valuations on super-coercive functions is established. Continuous and epi-translation inva…