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math.PR2026
The KLS constant is
Brayden Letwin
We confirm the Kannan--Lovász--Simonovits conjecture for quadratic forms: if is an isotropic log-concave random vector in , then for any symmetric matrix $…
math.PR2026
On the smallest singular value of the product of random and deterministic matrices
Brayden Letwin, Achintya Raya Polavarapu
Let be an real-valued random matrix with independent, mean-zero, variance-one entries whose fourth moments are uniformly at most . Suppose that there ex…