24 citations · 28 across the 3 of their papers we have counts for
3 papers
math-ph2004★ 1 cited
Mystery of point charges
Andrei Gabrielov, Dmitry Novikov, Boris Shapiro
We discuss the problem of finding an upper bound for the number of equilibrium points of a potential of several fixed point charges in R^n. This question goes back to J.C.Maxwell a…
math.CA2004★ 24 cited
On rational approximation of algebraic functions
Julius Borcea, Rikard Bögvad, Boris Shapiro
We construct a new scheme of approximation of any multivalued algebraic function by a sequence of rational functions. The latter sequence is…
math.AG2004★ 3 cited
Classifying real polynomial pencils
Julius Borcea, Boris Shapiro
Let $\bP^n$ be the space of all homogeneous polynomials of degree in two variables with real coefficients. The standard discriminant $\D_{n+1}\subset \bP^n$ is Whitney stratifi…