48 citations · 133 across the 12 of their papers we have counts for
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math.MG2006★ 2 cited
Iterated Function Systems in Mixed Euclidean and p-adic Spaces
Bernd Sing
We investigate graph-directed iterated function systems in mixed Euclidean and p-adic spaces. Hausdorff measure and Hausdorff dimension in such spaces are defined, and an upper bou…
math.MG2006★ 23 cited
Computing modular coincidences
D. Frettlöh, B. Sing
Computing modular coincidences can show whether a given substitution system, which is supported on a point lattice in R^d, consists of model sets or not. We prove the computatibili…
math.MG2002★ 8 cited
Kolakoski-(3,1) is a (deformed) model set
Michael Baake, Bernd Sing
Unlike the (classical) Kolakoski sequence on the alphabet {1,2}, its analogue on {1,3} can be related to a primitive substitution rule. Using this connection, we prove that the cor…