B. Letwin

collaborators

3 papers

math.PR2026

The KLS constant is $O (lo g^{1/4} n)$

Brayden Letwin

We confirm the Kannan--Lovász--Simonovits conjecture for quadratic forms: if $X \sim μ$ is an isotropic log-concave random vector in $R^{n}$ , 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 $A = (a_{ij})$ be an $n \times n$ real-valued random matrix with independent, mean-zero, variance-one entries whose fourth moments are uniformly at most $K$ . Suppose that there ex…

math.MG2024

A generalization of Grünbaum's inequality

Brayden Letwin, Vladyslav Yaskin

Grünbaum's inequality gives sharp bounds between the volume of a convex body and its part cut off by a hyperplane through the centroid of the body. We provide a generalization of t…

The KLS constant is O(log1/4n)

On the smallest singular value of the product of random and deterministic matrices

A generalization of Grünbaum's inequality

The KLS constant is $O (lo g^{1/4} n)$