On the singularity probability of random circulant Bernoulli matrices
Niklas Miller
TL;DR
This paper provides a comprehensive analysis of the likelihood that large random circulant Bernoulli matrices are singular, offering a complete characterization across all probability parameters.
Contribution
It delivers the first full characterization of the asymptotic singularity probability for all Bernoulli circulant matrices.
Findings
Explicit formulas for singularity probability across parameters
Asymptotic behavior described for large matrix sizes
Unified framework for all Bernoulli circulant matrices
Abstract
A complete characterization of the asymptotic singularity probability of random circulant Bernoulli matrices is given for all values of the probability parameter.
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Taxonomy
TopicsRandom Matrices and Applications · Advanced Combinatorial Mathematics · Point processes and geometric inequalities