Limit Theorems for Random Simplicial Complexes
We consider random simplicial complexes constructed on a Poisson point process within a convex set in a Euclidean space, especially the Vietoris-Rips complex and the Cech complex both of whose 1-skeleton is the Gilbert graph. We investigate at first the Vietoris-Rips complex by considering the volum...
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| Format: | Doctoral Thesis |
| Language: | English |
| Published: |
2020
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| Online Access: | https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202010223623 |