Inter-model sets in Rd are model sets

Richard C, Strungaru N (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Indagationes Mathematicae Elsevier

Book Volume: 35

Pages Range: 865-889

Journal Issue: 5

DOI: 10.1016/j.indag.2023.06.007

Abstract

We show that any union of finitely many shifted model sets from a given cut-and-project scheme is a model set in some modified cut-and-project scheme. Restricting to direct space Rd, we show that any 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 windows.

Authors with CRIS profile

Christoph Richard Lehrstuhl für Mathematische Stochastik

Involved external institutions

MacEwan University CA Canada (CA)

How to cite

APA:

Richard, C., & Strungaru, N. (2024). Inter-model sets in Rd are model sets. Indagationes Mathematicae, 35(5), 865-889. https://doi.org/10.1016/j.indag.2023.06.007

MLA:

Richard, Christoph, and Nicolae Strungaru. "Inter-model sets in Rd are model sets." Indagationes Mathematicae 35.5 (2024): 865-889.

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