具有非对称核的永久向量

IF 2.1 1区数学 Q1 STATISTICS & PROBABILITY

Annals of Probability Pub Date : 2017-07-03 DOI:10.1214/15-AOP1008

Nathalie Eisenbaum

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引用次数: 3

摘要

具有对称核和索引22的永久向量是平方高斯向量。永久向量的定义是平方高斯向量的定义对非对称核和正指数的自然扩展。唯一已知的永向量要么具有正定核，要么是无限可分的。还有其他的吗？我们对这个问题给出部分答案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Permanental vectors with nonsymmetric kernels

A permanental vector with a symmetric kernel and index 22 is a squared Gaussian vector. The definition of permanental vectors is a natural extension of the definition of squared Gaussian vectors to nonsymmetric kernels and to positive indexes. The only known permanental vectors either have a positive definite kernel or are infinitely divisible. Are there some others? We present a partial answer to this question.

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来源期刊

Annals of Probability 数学-统计学与概率论

CiteScore

4.60

自引率

8.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Annals of Probability publishes research papers in modern probability theory, its relations to other areas of mathematics, and its applications in the physical and biological sciences. Emphasis is on importance, interest, and originality – formal novelty and correctness are not sufficient for publication. The Annals will also publish authoritative review papers and surveys of areas in vigorous development.