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math.PR2018★ 6 cited
Tilings, packings and expected Betti numbers in simplicial complexes
Nermin Salepci, Jean-Yves Welschinger
Let be a finite simplicial complex. We prove that the normalized expected Betti numbers of a random subcomplex in its -th barycentric subdivision converge…
math.PR2017★ 2 cited
Asymptotic topology of random subcomplexes in a finite simplicial complex
Nermin Salepci, Jean-Yves Welschinger
We consider a finite simplicial complex together with its successive barycentric subdivisions and study the expected topology of a random subcomplex in $Sd^d…