椭圆多项式零点的期望能量

IF 2.3 2区数学 Q1 MATHEMATICS

Constructive Approximation Pub Date : 2024-04-12 DOI:10.1007/s00365-024-09684-2

Víctor de la Torre, Jordi Marzo

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引用次数: 0

摘要

2011 年，Armentano、Beltrán 和 Shub 获得了由随机椭圆多项式的根给出的球面上随机点过程的预期对数能量的封闭表达式。我们考虑了一种不同的方法，将研究扩展到了里兹能，并计算了预期分离距离。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Expected Energy of Zeros of Elliptic Polynomials

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Expected Energy of Zeros of Elliptic Polynomials

In 2011, Armentano, Beltrán and Shub obtained a closed expression for the expected logarithmic energy of the random point process on the sphere given by the roots of random elliptic polynomials. We consider a different approach which allows us to extend the study to the Riesz energies and to compute the expected separation distance.

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来源期刊

Constructive Approximation 数学-数学

CiteScore

3.50

自引率

3.70%

发文量

审稿时长

1 months

期刊介绍： Constructive Approximation is an international mathematics journal dedicated to Approximations and Expansions and related research in computation, function theory, functional analysis, interpolation spaces and interpolation of operators, numerical analysis, space of functions, special functions, and applications.