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arXiv · 1706.02204

Asymptotic topology of random subcomplexes in a finite simplicial complex

Nermin Salepci·Jean-Yves Welschinger
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Abstract

We consider a finite simplicial complex $K$ together with its successive barycentric subdivisions $Sd^d(K), d\geq0,$ and study the expected topology of a random subcomplex in $Sd^d(K), d\gg0$. We get asymptotic upper and lower bounds for the expected Betti numbers of those subcomplexes, together with the average Morse inequalities and expected Euler characteristic.

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Nermin Salepci, Jean-Yves Welschinger. 2017-06-07. Asymptotic topology of random subcomplexes in a finite simplicial complex. https://arxiv.org/abs/1706.02204

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