论文标题

随机复合物的线性嵌入

Linear embeddings of random complexes

论文作者

Newman, Andrew

论文摘要

对于$ x \ sim x(n; 1,n^{ - α_1},n^{ - α_2},...)$在多组合随机简单复杂模型中,我们对$α_i$ $的$ \ \ \ \ \ \ \ \ \ mathbb {r}^$ her $α_i$ of $α_i$ of $α_i$ n of $α_i$ a in of $α_i$ a} $ {2DDDD} $。

For $X \sim X(n; 1, n^{-α_1}, n^{-α_2}, ...)$ in the multiparameter random simplicial complex model we establish necessary and sufficient strict inequalities on the $α_i$'s to linearly embed the complex into $\mathbb{R}^{2d}$.

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