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Expected topology of a random subcomplex in a simplicial complex

By Jean-Yves Welschinger

Appears in collection : Perspectives in real geometry / Perspectives en géométrie réelle

I will explain how to bound from above and below the expected Betti numbers of a random subcomplex in a simplicial complex and get asymptotic results under infinitely many barycentric subdivisions. This is a joint work with Nermin Salepci. It complements previous joint works with Damien Gayet on random topology.

Information about the video

Date of recording 19/09/2017
Date of publication 21/09/2017
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19223303
Cite this video Welschinger, Jean-Yves (19/09/2017). Expected topology of a random subcomplex in a simplicial complex. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19223303
URL https://dx.doi.org/10.24350/CIRM.V.19223303

Domain(s)

Bibliography

Salepci, N., & Welschinger, J.-Y. (2017). Asymptotic topology of random subcomplexes in a finite simplicial complex. <arXiv:1706.02204> - https://arxiv.org/abs/1706.02204
Salepci, N., & Welschinger, J.-Y. (2017). Asymptotic measures and links in simplicial complexes. <arXiv:1706.02215> - https://arxiv.org/abs/1706.02215

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