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math.DS2024
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…
math.DS2024
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…