Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 239-01. The sharp exponential rate of singularity for symmetric Bernoulli matrices
Manuscript map · lines 7185–7194
OpenAI@2026-10-07#rem:oai-p-239-01
Authors: OpenAI. Family 239.
Title: The sharp exponential rate of singularity for symmetric Bernoulli matrices.
Abstract: Let An be a symmetric $n{}times n$ matrix whose entries on and above the diagonal are independent uniform signs. We prove ${}displaystyle {}Pr({}det A_n=0)={}left({}frac12+o(1){}right){}n.$
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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