Abstract
A permanental vector with a symmetric kernel and index $2$ 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.
Citation
Nathalie Eisenbaum. "Permanental vectors with nonsymmetric kernels." Ann. Probab. 45 (1) 210 - 224, January 2017. https://doi.org/10.1214/15-AOP1008
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