کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419228 1339379 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets
چکیده انگلیسی

In the paper, we focus on the connectedness of planar self-affine sets T(A,D) generated by an integer expanding matrix A with |det(A)|=3 and a collinear digit set D={0,1,b}v, where b>1 and v∈R2 such that {v,Av} is linearly independent. We discuss the domain of the digit b to determine the connectedness of T(A,D). Especially, a complete characterization is obtained when we restrict b to be an integer. Some results on the general case of |det(A)|>3 are obtained as well.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 395, Issue 1, 1 November 2012, Pages 208-217
نویسندگان
, ,