Large random simplicial complexes, I
Algebraic Topology
2015-03-24 v1
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.
Keywords
Cite
@article{arxiv.1503.06285,
title = {Large random simplicial complexes, I},
author = {A. Costa and M. Farber},
journal= {arXiv preprint arXiv:1503.06285},
year = {2015}
}