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A general framework for tilings, Delone sets, functions, and measures and their interrelation - MaRDI portal

A general framework for tilings, Delone sets, functions, and measures and their interrelation (Q2316793)

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A general framework for tilings, Delone sets, functions, and measures and their interrelation
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    A general framework for tilings, Delone sets, functions, and measures and their interrelation (English)
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    7 August 2019
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    In the paper under review, the author generalises the local derivability and mutual local derivability (MLD) for tilings and Delone sets to general objects including tilings, Delone sets, functions and measures. The author also deals with pattern-equivariant functions as an application. More precisely, the author proves that the space of pattern-equivariant functions remembers the original object up to MLD.
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    tiling
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    Delone set
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    almost periodic function
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    almost periodic measure
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