4 papers
Der Stern von Bethlehem -- Einige Theorien und Hintergruende: Von der altorientalischen Astrologie ueber Kepler zu Newton
Stephan F. Huckemann
Many have have taken in hand to write a treatise on the Star of Bethlehem, particularly on Kepler's explanation as a stellar birth, triggered by Mars joining a great conjunction (a…
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 a…
Two-Sample Tests for Optimal Lifts, Manifold Stability and Reverse Labeling Reflection Shap
Do Tran Van, Susovan Pal, Benjamin Eltzner +1
We consider a quotient of a complete Riemannian manifold modulo an isometrically and properly acting Lie group and lifts of the quotient to the manifolds in optimal position to a r…
Constrained Shape Analysis with Applications to RNA Structure
Kanti V. Mardia, Benjamin Eltzner, Stephan F. Huckemann
In many applications of shape analysis, lengths between some landmarks are constrained. For instance, biomolecules often have some bond lengths and some bond angles constrained, an…