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math.PR2025
On random matrices with large corank
Zach Hunter, Matthew Kwan, Lisa Sauermann +1
Let and be a random matrix with independent uniformly random -entries. We show that there exists an absolute constant such that \[\…
math.PR2025
Parities in random Latin squares
Matthew Kwan, Kalina Petrova, Mehtaab Sawhney
In a Latin square, every row can be interpreted as a permutation, and therefore has a parity (even or odd). We prove that in a uniformly random Latin square, the ro…
math.PR2025
Convergent points for random power series on the unit circle
Marcus Michelen, Mehtaab Sawhney
Consider a random power series of the form where are deterministic and are chosen independently…