论文标题

在转移半圆形的根上

On Shifting Semicircular Roots

论文作者

Yamagami, Shigeru, Yoshida, Hiroaki

论文摘要

在Stieltjes变换的持续扩展的框架内,我们考虑对半圆形定律的转移。相关度量的连续部分接收了密度函数,该密度函数是多项式的半圆形函数。我们研究了该多项式分母如何确定转移的半圆形定律,并在将步骤降至第二步的级别的示例中具有明确的描述。

In the framework of continued fraction expansions of Stieltjes transforms, we consider shifting of semicircular laws. The continuous part of the associated measure admits a density function which is the quotient of semicircular one by a polynomial. We study how this polynomial denominator determines shifted semicircular laws, with explicit descriptions in examples of shifting up to the level of step two.

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