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Journal Articles Annals of Probability Year : 2017

Permanental vectors with nonsymmetric kernels

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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.
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hal-03897744 , version 1 (14-12-2022)

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Nathalie Eisenbaum. Permanental vectors with nonsymmetric kernels. Annals of Probability, 2017, 45, ⟨10.1214/15-aop1008⟩. ⟨hal-03897744⟩
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