Limiting empirical distribution of zeros and critical points of random polynomials agree in general

In this article, we study critical points (zeros of derivative) of random polynomials. Take two deterministic sequences \(\{a_n\}_{n\geq1}\) and \(\{b_n\}_{n\geq1}\) of complex numbers whose limiting empirical measures are same. By choosing \(\xi_n = a_n\) or \(b_n\) with equal probability, define t...

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Veröffentlicht in:	arXiv.org 2016-09
1. Verfasser:	Reddy, Tulasi Ram
Format:	Artikel
Sprache:	eng
Schlagworte:	Complex numbers Constraining Critical point Mathematics - Complex Variables Mathematics - Probability Mathematics - Statistics Theory Polynomials Random variables Rational functions Statistics - Theory
Online-Zugang:	Volltext
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