7 citations · 7 across the 3 of their papers we have counts for
5 papers
On the geometry of generalised Koch snowflakes
Sven van Golden, Sabrina Kombrink, Tony Samuel
We consider the geometry of a class of fractal sets in that generalise the famous Koch curve and Koch snowflake. While the classical Koch curve is defined by an it…
Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions
S. van Golden, C. Kalle, S. Kombrink +1
For countably infinite IFSs on consisting of affine contractions with diagonal linear parts, we give conditions under which the affinity dimension is an upper bound f…
Eigenvalue counting functions and parallel volumes for examples of fractal sprays generated by the Koch snowflake
Sabrina Kombrink, Lucas Schmidt
We apply recent results by the authors to obtain bounds on remainder terms of the Dirichlet Laplace eigenvalue counting function for domains that can be realised as countable disjo…
On bounds for the remainder term of counting functions of the Neumann Laplacian on domains with fractal boundary
Sabrina Kombrink, Lucas Schmidt
We provide a new constructive method for obtaining explicit remainder estimates of eigenvalue counting functions of Neumann Laplacians on domains with fractal boundary. This is don…
Minkowski measurability of infinite conformal graph directed systems and application to Apollonian packings
Marc Kesseböhmer, Sabrina Kombrink
We give conditions for the existence of the Minkowski content of limit sets stemming from infinite conformal graph directed systems. As an application we obtain Minkowski measurabi…