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math.PR2022
Optimal minimization of the covariance loss
Vishesh Jain, Ashwin Sah, Mehtaab Sawhney
Let be a random vector valued in such that almost surely. For every , we show that there exists a sigma algebra generat…
math.CO2022
Threshold for Steiner triple systems
Ashwin Sah, Mehtaab Sawhney, Michael Simkin
We prove that with high probability contains a spanning Steiner triple system for , establishing the exponent for the thresho…
math.NT2022
Enumerating coprime permutations
Ashwin Sah, Mehtaab Sawhney
Define a permutation to be coprime if for . In this note, proving a recent conjecture of Pomerance, we prove that the number of coprime permutations…