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    • Sticky central limit theorems at isolated hyperbolic planar singularities 

      Huckemann, S; Mattingly, Jonathan Christopher; Miller, E; Nolen, James H (Electronic Journal of Probability, 2015-01-01)
      © 2015, University of Washington. Akll rights reserved.We derive the limiting distribution of the barycenter bn of an i.i.d. sample of n random points on a planar cone with angular spread larger than 2π. There are three ...
    • Sticky central limit theorems on open books 

      Hotz, T; Huckemann, S; Le, H; Marron, JS; Mattingly, Jonathan Christopher; Miller, E; Nolen, James H; ... (10 authors) (Annals of Applied Probability, 2013-12-01)
      Given a probability distribution on an open book (a metric space obtained by gluing a disjoint union of copies of a half-space along their boundary hyperplanes), we define a precise concept of when the Fréchet mean (barycenter) ...