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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2009 Number 7, Pages 3–9 (Mi ivm3040)
This article is cited in 14 papers

One-dimensional quasiperiodic tilings admitting progressions enclosure

V. V. Krasil'shchikov, A. V. Shutov, V. G. Zhuravlev

Vladimir State Humanitarian University, Vladimir, Russia

Abstract: In this paper we consider one-dimensional quasiperiodic tilings based on the use of irrational rotations of a circle. We completely describe a wide class of progressions included in the mentioned tilings.

Keywords: one-dimensional quasiperiodic tilings, lattice enclosure.

UDC: 511.43

Received: 12.04.2007


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:7, 1–6

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© Steklov Math. Inst. of RAS, 2025