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arXiv · 1503.06285

Large random simplicial complexes, I

A. Costa·M. Farber
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Abstract

In this paper we develop further the multi-parameter model of random simplicial complexes. Firstly, we give an intrinsic characterisation of the multi-parameter probability measure. Secondly, we show that in multi-parameter random simplicial complexes the links of simplexes and their intersections are also multi-parameter random simplicial complexes. Thirdly, we find conditions under which a multi-parameter random simplicial complex is connected and simply connected.

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A. Costa, M. Farber. 2015-03-21. Large random simplicial complexes, I. https://arxiv.org/abs/1503.06285

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