Huaijin Liang

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20222026

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Showing math.PRShow all

2 papers · 1 filter

math.PR2026

Large corank of dense random regular digraphs

Huaijin Liang, Kexin Yu, Tingzhou Yu

Let $1 \leq k \leq n$ and let $A$ be the adjacency matrix of a uniformly random $d$ -regular directed graph on $n$ vertices. Suppose that $λn \leq d \leq (1 - λ) n$ for a fixed $0 < λ \leq 1/2$ .…

math.PR2023

Proof of a conjecture about Parrondo's paradox for two-armed slot machines

Huaijin Liang, Zengjing Chen

The 1936 Mills Futurity slot machine had the feature that, if a player loses 10 times in a row, the 10 lost coins are returned. Ethier and Lee (2010) studied a generalized version…