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Inter model sets in $\mathbb R^d$ are model sets by Richard, Christoph; Strungaru, Nicolae is a scholarly article available to read on EtoBox.

What is Inter model sets in $\mathbb R^d$ are model sets about?

We show that any translate of a model set is a model set in some modified cut-and-project scheme. Restricting to Euclidean direct space, we show that any translate of an inter model set is a model set in some modified cut-and-project scheme with second countable internal space. In both cases, the window in the modified cut-and-project scheme inherits the topological and measure-theoretic properties of the original window. Our results hold in fact for a class beyond inter model sets, which we call almost model sets.

Author

Richard, Christoph; Strungaru, Nicolae

Published

2022

Language

EN