کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778560 1633777 2017 48 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Differentiability of Lq-spectrum and multifractal decomposition by using infinite graph-directed IFSs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Differentiability of Lq-spectrum and multifractal decomposition by using infinite graph-directed IFSs
چکیده انگلیسی
By constructing an infinite graph-directed iterated function system associated with a finite iterated function system, we develop a new approach for proving the differentiability of the Lq-spectrum and establishing the multifractal formalism of certain self-similar measures with overlaps, especially those defined by similitudes with different contraction ratios. We apply our technique to a well-known class of self-similar measures of generalized finite type.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 311, 30 April 2017, Pages 190-237
نویسندگان
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