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arxiv: 1802.00001 · v1 · pith:O4C3R6E3new · submitted 2018-01-30 · 🧮 math.ST · math.CO· math.NT· math.PR· stat.TH

Surjectivity of near square random matrices

classification 🧮 math.ST math.COmath.NTmath.PRstat.TH
keywords matricesintegralrandomsquareanswersdependententriesextends
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We show that a nearly square iid random integral matrix is surjective over the integral lattice with very high probability. This answers a question by Koplewitz. Our result extends to sparse matrices as well as to matrices of dependent entries.

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