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math.PR2026
Sharp small-deviation inequalities for sums of independent nonnegative random variables
Weibo Fu, Yanjun Han, Guanyang Wang +3
Let be independent nonnegative random variables with , and write . For , 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…