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Paper:

TR21-178 | 3rd December 2021 02:31

On the Gaussian surface area of spectrahedra

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TR21-178
Authors: Srinivasan Arunachalam, Oded Regev, Penghui Yao
Publication: 12th December 2021 06:59
Downloads: 224
Keywords: 


Abstract:

We show that for sufficiently large $n\geq 1$ and $d=C n^{3/4}$ for some universal constant $C>0$, a random spectrahedron with matrices drawn from Gaussian orthogonal ensemble has Gaussian surface area $\Theta(n^{1/8})$ with high probability.



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