3 papers
math.CA2026
From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's Problem
A. Gabrielov, Dm. Novikov, T. Novikov +1
In \cite{GNS} we proved that, for every , the potential of three positive point charges has at most nondegenerate equilibrium points. We also observed that the same meth…
math.DS2026
On boundary points of minimal continuously Hutchinson invariant sets
Per Alexandersson, Nils Hemmingsson, Dmitry Novikov +2
A linear differential operator with polynomial coefficients defines a continuous family of Hutchinson operators when acting on the space of positive power…
math.DS2025
On limit sets for geodesics of meromorphic connections
Dmitry Novikov, Boris Shapiro, Guillaume Tahar
Meromorphic connections on Riemann surfaces originate and are closely related to the classical theory of linear ordinary differential equations with meromorphic coefficients. Limit…