Weibo Fu

collaborators

2 papers

math.PR2026

Sharp small-deviation inequalities for sums of independent nonnegative random variables

Weibo Fu, Yanjun Han, Guanyang Wang +3

Let $(X_{1}, \dots, X_{n})$ be independent nonnegative random variables with $E X_{i} \leq 1$ , and write $S = \sum_{i} X_{i}$ . For $δ > 0$ , we prove that \[ \mathbb{P}\left(S<\mathbb{E} S+δ\…

math.PR2026

Spectral Gap for the Binary Fixed-Margin Swap Chain

Weibo Fu, Qian Qin, Guanyang Wang

We prove an explicit spectral-gap lower bound for the lazy swap chain on binary matrices with prescribed row and column sums. This chain is a standard sampler for fixed-margin null…