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math.PR2024
Local limit theorem for joint subgraph counts
Ashwin Sah, Mehtaab Sawhney, Daniel G. Zhu
Extending a previous result of the first two authors, we prove a local limit theorem for the joint distribution of subgraph counts in the Erdős-Rényi random graph . This li…
math.PR2024
On the Spielman-Teng Conjecture
Ashwin Sah, Julian Sahasrabudhe, Mehtaab Sawhney
Let be an matrix with iid subgaussian entries with mean and variance and let denote the least singular value of . We prove that \[\mathbb{P}\big…