Now showing items 1-2 of 2

• #### On Vietoris-Rips Complexes of Ellipses ﻿

[OWP-2017-11] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-25)
For $X$ a metric space and $r > 0$ a scale parameter, the Vietoris–Rips complex $VR_<(X; r)$ (resp. $VR_≤(X; r)$) has $X$ as its vertex set, and a finite subset $\sigma \subseteq X$ as a simplex whenever the diameter of ...
• #### The Varchenko Determinant of a Coxeter Arrangement ﻿

[OWP-2017-33] (Mathematisches Forschungsinstitut Oberwolfach, 2017-11-24)
The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization ...