3 papers
math.CO2026
Slice and Partition Rank Criteria for Polynomial Zero-Avoidance
Simone Costa, Stefano Della Fiore, Mattia Fontana
We study polynomial zero-avoidance over finite vector spaces by means of slice rank and partition rank. We first make the support-entropy method effective by showing how a finite d…
math.AP2026
Kinetic models of opinion-driven epidemic dynamics modulated by graphons
Andrea Bondesan, Jacopo Borsotti, Mattia Fontana
We introduce new kinetic equations to describe epidemics' spread while accounting for individuals' opinions on protective behaviors. Opinion exchanges occur on a social network rep…
math.NT2026
Graham conjecture on small sets in abelian groups
Simone Costa, Stefano Della Fiore, Mattia Fontana +1
A famous conjecture of Graham asserts that every set can be ordered so that all partial sums are distinct. Although this conjecture was r…