Anorexia nervosa (AN) is a psychiatric disorder with a high mortality rate. The compulsive nature of the disorder leads to an emerging dopamine (DA)–centered hypothesis. However, the circuit mechanism of AN remains elusive. By examining a pontomesencephalic-mesolimbic circuit, which is implicated in anorexia-like and r...
Bei-Bei Peng, Xu Gao, Yan Chen et al.· Science Advances· 0 citations
Let $A$ be the (non-symmetric) adjacency matrix of a uniformly random $d$-regular directed graph on $n$ vertices, and let $\Xi$ be independent of $A$ with i.i.d. Rademacher entries. Suppose that $\min(d,n-d)\ge\lambda n$ for some fixed $\lambda\in(0,1/2]$. We show that there exists $c>0$, depending only on $\lambda$, s...
Huai-Jin Liang, Yu-Xiao Shi, Ke-Xin Yu et al.· 1 citation
Let $G_{n,d}$ be a uniformly random simple $d$-regular graph on $n$ vertices, and let $A_n$ be its adjacency matrix. For every fixed $\lambda\in(0,1/2)$, we prove that for any $\lambda(n-1)\le d\le(1-\lambda)(n-1)$, $\mathbb P(A_n\text{ is singular})\le e^{-cn}$, where $c>0$ depends only on $\lambda$, and $n$ is suffic...
Ze-Yan Song, Han-Chao Wang, Sheng-Yan Yin et al.· 0 citations
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