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math.CO2022
Erdős covering systems
Paul Balister, Béla Bollobás, Robert Morris +2
A covering system is a finite collection of arithmetic progressions whose union is the set of integers. The study of these objects was initiated by Erdős in 1950, and over the foll…
math.PR2022
The least singular value of a random symmetric matrix
Marcelo Campos, Matthew Jenssen, Marcus Michelen +1
Let be a symmetric matrix with , independent and identically distributed according to a subgaussian distribution. We show that $$\mathbb{P}(σ…