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arXiv · 1712.02045

Maps on random hypergraphs and random simplicial complexes

Shiquan Ren·Chengyuan Wu·Jie Wu
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Abstract

Let $L$ be a simplicial complex. In this paper, we study random sub-hypergraphs and random sub-complexes of $L$. By considering the minimal complex that a sub-hypergraph can be embedded in and the maximal complex that can be embedded in a sub-hypergraph, we define some maps on the space of probability functions on sub-hypergraphs of $L$. We study the compositions of these maps as well as their actions on the space of probability functions.

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Shiquan Ren, Chengyuan Wu, Jie Wu. 2017-12-06. Maps on random hypergraphs and random simplicial complexes. https://arxiv.org/abs/1712.02045

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