3 papers
math.FA2025
The Scaled Polarity transform and related inequalities
Shoni Gilboa, Alexander Segal, Boaz A. Slomka
In this paper we deal with generalizations of the Mahler volume product for log-concave functions. We show that the polarity transform can be rescaled so that the Mahl…
math-ph2023
Non-constant ground configurations in the disordered ferromagnet
Michal Bassan, Shoni Gilboa, Ron Peled
The disordered ferromagnet is a disordered version of the ferromagnetic Ising model in which the coupling constants are non-negative quenched random. A ground configuration is an i…
math.CO2018
A probabilistic variant of Sperner's theorem and of maximal -cover free families
Noga Alon, Shoni Gilboa, Shay Gueron
A family of sets is called -\emph{cover free} if no set in the family is contained in the union of (or less) other sets in the family. A -cover free family is simply an a…