Some Remarks on Random Vectors and $O(n)$-Invariants

Alexander Kushkuley

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arXiv · 2303.00247

Some Remarks on Random Vectors and $O(n)$-Invariants

Alexander Kushkuley

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Abstract

Computations involving invariant random vectors are directly related to the theory of invariants (cf. e.g \cite{Weing_1}). Some simple observations along these lines are presented in this paper. We note in particular that sum of elements of the standard basis of $ O(n)$-invariants is equal to the expectation of a random Veronese tensor up to a known scalar multiplier.

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Alexander Kushkuley. 2023-03-09. Some Remarks on Random Vectors and $O(n)$-Invariants. https://arxiv.org/abs/2303.00247

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