论文标题

多项式的有限自由乘法卷积的大量法律

Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials

论文作者

Fujie, Katsunori, Ueda, Yuki

论文摘要

我们为多项式的有限自由乘法卷积的根提供了大量的定律,这些卷积仅具有非负实际根源。此外,我们研究了通过大量有限的自由乘法卷积获得的极限多项式的经验根分布。

We provide the law of large numbers for roots of finite free multiplicative convolution of polynomials which have only non-negative real roots. Moreover, we study the empirical root distributions of limit polynomials obtained through the law of large numbers of finite free multiplicative convolution when their degree tends to infinity.

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