2 papers
math.PR2025
Generic regularity of equilibrium measures for the logarithmic potential with external fields
Giacomo Colombo, Alessio Figalli
It is a well-known conjecture in -models and in their discrete counterpart that, generically, external potentials should be ``off-critical'' (or, equivalently, ``regular''). Exp…
math.AP2025
Generic regularity in time for solutions of the Stefan problem in 4+1 dimensions
Giacomo Colombo
We show that the free boundary of a solution of the Stefan problem in is a -dimensional manifold of class in for almost every time. Th…