کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8906023 | 1634010 | 2018 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary](/preview/png/8906023.png)
چکیده انگلیسی
This paper uses a connection between bounded remainder sets in Rd
and cut-and-project sets in R together with the fact that each one-dimensional Pisot substitution sequence is bounded distance equivalent to some lattice in order to construct several bounded remainder sets with fractal boundary. Moreover it is shown that there are cut-and-project sets being not bounded distance equivalent to each other even if they are locally indistinguishable, more precisely: even if they are contained in the same hull.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 29, Issue 4, August 2018, Pages 1114-1130
Journal: Indagationes Mathematicae - Volume 29, Issue 4, August 2018, Pages 1114-1130
نویسندگان
Dirk Frettlöh, Alexey Garber,