72 citations · 140 across the 39 of their papers we have counts for
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Multiplicity Estimates: a Morse-theoretic approach
Gal Binyamini
The problem of estimating the multiplicity of the zero of a polynomial when restricted to the trajectory of a non-singular polynomial vector field, at one or several points, has be…
Finiteness properties of formal Lie group actions
Gal Binyamini
Following ideas of Arnold and Seigal-Yakovenko, we prove that the space of matrix coefficients of a formal Lie group action belongs to a Noetherian ring. Using this result we exten…
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…
Polynomial Bounds for Oscillation of Solutions of Fuchsian Systems
Gal Binyamini, Sergei Yakovenko
We study the problem of placing effective upper bounds for the number of zeros of solutions of Fuchsian systems on the Riemann sphere. The principal result is an explicit (non-unif…