56 citations · 196 across the 25 of their papers we have counts for
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math.CA2015
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…
math.CA2015★ 5 cited
Accuracy of spike-train Fourier reconstruction for colliding nodes
Andrey Akinshin, Dmitry Batenkov, Yosef Yomdin
We consider Fourier reconstruction problem for signals F, which are linear combinations of shifted delta-functions. We assume the Fourier transform of F to be known on the frequenc…
math.NA2015
Accurate solution of near-colliding Prony systems via decimation and homotopy continuation
Dmitry Batenkov
We consider polynomial systems of Prony type, appearing in many areas of mathematics. Their robust numerical solution is considered to be difficult, especially in "near-colliding"…