3 papers
math.FA2026
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…
math.FA2026
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 inequalit…
math.FA2025
Characterizing Maximal Monotone Operators with Unique Representation
Sotiris Armeniakos, Aris Daniilidis
We study maximal monotone operators whose Fitzpatrick family reduces to a singleton; such operators will be called uniquely representable. We show tha…