72 citations · 140 across the 39 of their papers we have counts for
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Zero counting and invariant sets of differential equations
Gal Binyamini
Consider a polynomial vector field in with algebraic coefficients, and a compact piece of a trajectory. Let denote the maximal number of isolated in…
Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation
Dmitry Batenkov, Gal Binyamini
Given two polynomials we consider the following question: "how large can the index of the first non-zero moment be, assuming the sequence is not…
Bezout-type Theorems for Differential Fields
Gal Binyamini
We prove analogs of the Bezout and the Bernstein-Kushnirenko-Khovanskii theorems for systems of algebraic differential conditions over differentially closed fields. Namely, given a…
Pfaffian Intersections and Multiplicity Cycles
Gal Binyamini
We consider the problem of estimating the intersection multiplicity between an algebraic variety and a Pfaffian foliation, at every point of the variety. We show that this multipli…