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This article answers a question posed by Draisma and Horobet, who asked for a closed formula for the expected number of real eigenvalues of a random real symmetric tensor drawn… Click to show full abstract
This article answers a question posed by Draisma and Horobet, who asked for a closed formula for the expected number of real eigenvalues of a random real symmetric tensor drawn from the Gaussian distribution relative to the Bombieri norm. This expected value is equal to the expected number of real critical points on the unit sphere of a Kostlan polynomial. We also derive an exact formula for the expected absolute value of the determinant of a matrix from the Gaussian Orthogonal Ensemble.
Keywords:
symmetric tensor;
random symmetric;
many eigenvalues;
tensor real;
eigenvalues random
Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
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Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
Link to full text (if available)
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recommendations!