Guanyang Wang

works on

binary matrix sampling 1 combinatorial algorithms 1 fixed-margin models 1 markov chain mixing 1 spectral gap 1

From the 1 of 12 linked papers with an AI index.

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

math.PR2026

Spectral Gap for the Binary Fixed-Margin Swap Chain

Weibo Fu, Qian Qin, Guanyang Wang

The paper establishes an explicit lower bound on the spectral gap of the lazy swap chain used to sample binary matrices with given row and column sums, thereby proving the Kannan‑T…