Higher dimensional Fourier quasicrystals from Lee–Yang varieties
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
In this paper, we construct Fourier quasicrystals with unit masses in arbitrary dimensions. This generalizes a one-dimensional construction of Kurasov and Sarnak. To do this, we employ a class of complex algebraic varieties avoiding certain regions in Cn, which generalize hypersurfaces defined by Lee–Yang polynomials. We show that these are Delone almost periodic sets that have at most finite intersection with every discrete periodic set.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 321–376 |
Seitenumfang | 56 |
Fachzeitschrift | Inventiones mathematicae |
Jahrgang | 239 |
Publikationsstatus | Veröffentlicht - Jan. 2025 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 85213398325 |
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