Permanental vectors with nonsymmetric kernels
Probability
2017-07-04 v1
Abstract
A permanental vector with a symmetric kernel and index 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.
Cite
@article{arxiv.1707.00535,
title = {Permanental vectors with nonsymmetric kernels},
author = {Nathalie Eisenbaum},
journal= {arXiv preprint arXiv:1707.00535},
year = {2017}
}
Comments
Published at http://dx.doi.org/10.1214/15-AOP1008 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)