Browsing 2017 by MSC "05"
Now showing items 1-2 of 2
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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 σ⊆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 ...