熵、次熵与初等对称函数
Entropy, subentropy and the elementary symmetric functions
摘要：
我们利用复围道积分技术研究了熵H和次熵Q作为初等对称多项式的函数，揭示了一系列引人注目的性质。特别是对于这些变量，衍生物的-Q是等于衍生物的H的一个更高的秩序和第一衍生物的H和Q被视为完全单调的功能。因此，exp（-H）和exp（-Q）是无穷可分概率分布的拉普拉斯变换。
英文摘要：
We use complex contour integral techniques to study the entropy H and subentropy Q as functions of the elementary symmetric polynomials, revealing a series of striking properties. In particular for these variables, derivatives of -Q are equal to derivatives of H of one higher order and the first derivatives of H and Q are seen to be completely monotone functions. It then follows that exp (-H) and exp(-Q) are Laplace transforms of infinitely divisible probability distributions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
