Work

On the singularity of random combinatorial matrices

Year: 2011
Type: preprint
Abstract: It is shown that a random $(0,1)$ matrix whose rows are independent random vectors of exactly $n/2$ zero components is non-singular with probability $1-O(n^{-C})$ for any $C>0$. The proof uses a non-standard inverse-type Littlewood-Offord result.
Language: English
Open Access status: green
OpenAlex ID: W2963457273
Cites: 10
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Related to: 20