Han Huang

collaborators

2 papers

math.FA2026

Cotype of random polytopes

Han Huang, Konstantin Tikhomirov

For $N \geq n$ , let $P_{N, n}$ be a random polytope in $R^{n}$ with vertices $\pm X_{i}$ , $1 \leq i \leq N$ , where $X_{1}, \dots, X_{N}$ are i.i.d standard Gaussian vectors in ${\mathb…

math.CO2024

Locally seeded embeddings, and Ramsey numbers of bipartite graphs with sublinear bandwidth

Dylan J. Altschuler, Han Huang, Konstantin Tikhomirov

A seminal result of Lee asserts that the Ramsey number of any bipartite $d$ -degenerate graph $H$ satisfies $lo g r (H) = lo g n + O (d)$ . In particular, this bound applies to every b…