컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0260 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | Aperiodic Order and Dynamics (SS-10) |
| 영문제목 (Title(Eng.)) |
Statistics of patterns in typical cut and project sets |
| 저자(Author(s)) |
Alan Haynes1, Antoine Julien2, Henna Koivusalo3, James Walton4 University of Houston1, Nord University2, University of Vienna3, University of Glasgow4 |
| 초록본문(Abstract) | An important family of mathematical quasicrystals is generated by the “cut and project” method. The principle is to project on a lower-dimensional plane a “slice” of a higher-dimensional lattice. The properties of the resulting point-set depend crucially on the slope of the lower-dimensional plane. I will present some results regarding the repetition properties of a point-set obtained by using a “typical” slope, in a measure-theoretic sense. This results extends some old results by Morse and Hedlund related to Sturmian sequences, and are based on techniques of Diophantine approximation. |
| 분류기호 (MSC number(s)) |
52C23, 11K60 |
| 키워드(Keyword(s)) | quasicrystals, diophantine, approximation recurrence |
| 강연 형태 (Language of Session (Talk)) |
English |