33 citations · 53 across the 13 of their papers we have counts for
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math.PR2019★ 1 cited
Multivariate Central Limit Theorems for Random Simplicial Complexes
G. Akinwande, M. Reitzner
Consider a Poisson point process within a convex set in a Euclidean space. The Vietoris-Rips complex is the clique complex over the graph connecting all pairs of points with distan…
math.MG2019
Asymptotic normality for random simplices and convex bodies in high dimensions
David Alonso-Gutiérrez, Florian Besau, Julian Grote +5
Central limit theorems for the log-volume of a class of random convex bodies in are obtained in the high-dimensional regime, that is, as . In particular,…