%0 Journal Article %1 campos2021singularity %A Campos, Marcelo %A Jenssen, Matthew %A Michelen, Marcus %A Sahasrabudhe, Julian %D 2021 %K mathematics probability randomized %T The singularity probability of a random symmetric matrix is exponentially small %U http://arxiv.org/abs/2105.11384 %X Let $A$ be drawn uniformly at random from the set of all $nn$ symmetric matrices with entries in $\-1,1\$. We show that \ P( \det(A) = 0 ) e^-cn,\ where $c>0$ is an absolute constant, thereby resolving a well-known conjecture.

@article{campos2021singularity, abstract = {Let $A$ be drawn uniformly at random from the set of all $n\times n$ symmetric matrices with entries in $\{-1,1\}$. We show that \[ \mathbb{P}( \det(A) = 0 ) \leq e^{-cn},\] where $c>0$ is an absolute constant, thereby resolving a well-known conjecture.}, added-at = {2021-05-26T10:55:05.000+0200}, author = {Campos, Marcelo and Jenssen, Matthew and Michelen, Marcus and Sahasrabudhe, Julian}, biburl = {https://www.bibsonomy.org/bibtex/2ab2eb422c249fce8d655c271d4ef7d02/kirk86}, description = {[2105.11384] The singularity probability of a random symmetric matrix is exponentially small}, interhash = {166cacf6a582940383cd443356f1b49d}, intrahash = {ab2eb422c249fce8d655c271d4ef7d02}, keywords = {mathematics probability randomized}, note = {cite arxiv:2105.11384Comment: 48 pages}, timestamp = {2021-05-26T10:55:05.000+0200}, title = {The singularity probability of a random symmetric matrix is exponentially small}, url = {http://arxiv.org/abs/2105.11384}, year = 2021 }