On the Gaussian Surface Area of Spectrahedra

Srinivasan Arunachalam, Oded Regev, Penghui Yao

Research output: Chapter in Book/Report/Conference proceedingChapter


We show that for sufficiently large n≥ 1 and d= Cn3 ∕ 4 for some universal constant C> 0, a random spectrahedron with matrices drawn from Gaussian orthogonal ensemble has Gaussian surface area Θ (n1 ∕ 8) with high probability.

Original languageEnglish (US)
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages9
StatePublished - 2023

Publication series

NameLecture Notes in Mathematics
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

ASJC Scopus subject areas

  • Algebra and Number Theory


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