8 citations · 9 across the 5 of their papers we have counts for
7 papers
Persistence Meets Resistance: Doubling Down on Hardness
Benedikt Kolbe, Tim Mayr
We present results on the approximate computation of stable invariants for filtrations of finite metric spaces in the context of persistent homology. We establish novel approximati…
-ANN Data Structure for Curves via Subspaces of Bounded Doubling Dimension
Jacobus Conradi, Anne Driemel, Benedikt Kolbe
We consider the -Approximate Nearest Neighbour (ANN) Problem for polygonal curves in -dimensional space under the Fréchet distance and ask to what extent known…
Computing a Dirichlet domain for a hyperbolic surface
Vincent Despré, Benedikt Kolbe, Hugo Parlier +1
The goal of this paper is to exhibit and analyze an algorithm that takes a given closed orientable hyperbolic surface and outputs an explicit Dirichlet domain. The input is a funda…
Tiling the Euclidean and Hyperbolic planes with ribbons
Benedikt Kolbe, Vanessa Robins
We describe a method to classify crystallographic tilings of the Euclidean and hyperbolic planes by tiles whose stabiliser group contains translation isometries or whose topology i…
Enumerating Isotopy Classes of Tilings guided by the symmetry of Triply-Periodic Minimal Surfaces
Benedikt Kolbe, Myfanwy E. Evans
We present a technique for the enumeration of all isotopically distinct ways of tiling a hyperbolic surface of finite genus, possibly nonorientable and with punctures and boundary.…
Isotopic tiling theory for hyperbolic surfaces
Benedikt Kolbe, Myfanwy E. Evans
In this paper, we develop the mathematical tools needed to explore isotopy classes of tilings on hyperbolic surfaces of finite genus, possibly nonorientable, with boundary, and pun…
The Nearest Hermitian Inverse Eigenvalue Problem Solution with Respect to the 2-Norm
Marcel Padilla, Benedikt Kolbe, Aniruddha Chakraborty
Assume that the eigenvalues of a finite hermitian linear operator have been deduced accurately but the linear operator itself could not be determined with precision. Given a set of…