72 citations · 138 across the 12 of their papers we have counts for
12 papers
Rolle models in the real and complex world
Dmitry Novikov, Sergei Yakovenko
Numerous problems of analysis (real and complex) and geometry (analytic, algebraic, Diophantine e.a.) can be reduced to calculation of the ``number of solutions'' of systems of equ…
Formal factorization of higher order irregular linear differential operators
Leanne Mezuman, Sergei Yakovenko
We study the problem of decomposition (non-commutative factorization) of linear ordinary differential operators near an irregular singular point. The solution (given in terms of th…
On local Weyl equivalence of higher order Fucshian equations
Shira Tanny, Sergei Yakovenko
We study the local classification of higher order Fuchsian linear differential equations under various refinements of the classical notion of the "type of differential equation" in…
Local dynamics of intersections: V. I. Arnold's theorem revisited
Anna Leah Seigal, Sergei Yakovenko
V. I. Arnold proved in 1991 (published in 1993) that the intersection multiplicity between two germs of analytic subvarieties at a fixed point of a holomorphic invertible self-map…
Quasialgebraic Functions
Gal Binyamini, Dmitry Novikov, Sergei Yakovenko
We introduce and discuss a new class of (multivalued analytic) transcendental functions which still share with algebraic functions the property that the number of their isolated ze…
On the Number of Zeros of Abelian Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth Problem
Gal Binyamini, Dmitry Novikov, Sergei Yakovenko
We prove that the number of limit cycles generated by a small non-conservative perturbation of a Hamiltonian polynomial vector field on the plane, is bounded by a double exponentia…