Maximally persistent cycles in random geometric complexes
نویسندگان
چکیده
منابع مشابه
Random Geometric Complexes
We study the expected topological properties of Čech and Vietoris-Rips complexes built on randomly sampled points in R. These are, in some cases, analogues of known results for connectivity and component counts for random geometric graphs. However, an important difference in this setting is that homology is not monotone in the underlying parameter. In the sparse range, we compute the expectatio...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2017
ISSN: 1050-5164
DOI: 10.1214/16-aap1232