Higher dimensional Fourier quasicrystals from Lee–Yang varieties

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

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

OriginalspracheEnglisch
Seiten (von - bis)321–376
Seitenumfang56
FachzeitschriftInventiones mathematicae
Jahrgang239
PublikationsstatusVeröffentlicht - Jan. 2025
Peer-Review-StatusJa

Externe IDs

Scopus 85213398325

Schlagworte