4 citations · 6 across the 3 of their papers we have counts for
4 papers
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…
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…
A tropical analog of Descartes' rule of signs
J. Forsgård, D. Novikov, B. Shapiro
We prove that for any degree d, there exist (families of) finite sequences a_0, a_1,..., a_d of positive numbers such that, for any real polynomial P of degree d, the number of its…
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…