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.CV2026
Zero asymptotics for successive derivatives of hyperexponential functions with finite essential singularities
Christian Hägg, Boris Shapiro
Pólya's shire theorem identifies the final set of zeros of successive derivatives of an arbitrary meromorphic function with at least one pole with the Voronoi diagram of its finit…
math-ph2026
Level Crossing in Random Matrices. III. Analogs of Girko's circular and Wigner's semicircle laws
B. Shapiro
We study the asymptotic distribution of level crossings for random matrix pencils A_n+λB_n in several ensembles, including complex and real i.i.d. matrices and Gaussian/Hermitian s…