86 citations · 362 across the 37 of their papers we have counts for
4 papers · 1 filter
Zero Probability of the Cut Locus of a Fréchet Mean on a Riemannian Manifold
Alexander Lytchak, Stephan F. Huckemann
We show that the cut locus of a Fréchet mean of a random variable on a connected and complete Riemanian manifold has zero probability, a result known previously in special cases an…
Information geometry for phylogenetic trees
Maryam K. Garba, Tom M. W. Nye, Jonas Lueg +1
We propose a new space of phylogenetic trees which we call wald space. The motivation is to develop a space suitable for statistical analysis of phylogenies, but with a geometry ba…
Sticky central limit theorems at isolated hyperbolic planar singularities
Stephan Huckemann, Jonathan C. Mattingly, Ezra Miller +1
We derive the limiting distribution of the barycenter of an i.i.d. sample of random points on a planar cone with angular spread larger than . There are three mutually…
Sticky central limit theorems on open books
Thomas Hotz, Sean Skwerer, Stephan Huckemann +7
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 precis…