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math.PR2019
On limit theorems for persistent Betti numbers from dependent data
Johannes Krebs
We study persistent Betti numbers and persistence diagrams obtained from time series and random fields. It is well known that the persistent Betti function is an efficient descript…
math.PR2019★ 4 cited
On the asymptotic normality of persistent Betti numbers
Johannes Krebs, Wolfgang Polonik
Persistent Betti numbers are a major tool in persistent homology, a subfield of topological data analysis. Many tools in persistent homology rely on the properties of persistent Be…