کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9503091 | 1339555 | 2005 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Mixed generalized dimensions of self-similar measures
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Mixed generalized dimensions of self-similar measures Mixed generalized dimensions of self-similar measures](/preview/png/9503091.png)
چکیده انگلیسی
Classical multifractal analysis studies the local scaling behaviour of a single measure. However, recently mixed multifractal has generated interest. Mixed multifractal analysis studies the simultaneous scaling behaviour of finitely many measures and provides the basis for a significantly better understanding of the local geometry of fractal measures. The purpose of this paper is twofold. Firstly, we define and develop a general and unifying mixed multifractal theory of mixed Rényi dimensions (also sometimes called the generalized dimensions), mixed Lq-dimensions and mixed coarse multifractal spectra for arbitrary doubling measures. Secondly, as an application of the general theory developed in this paper, we provide a complete description of the mixed multifractal theory of finitely many self-similar measures.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 306, Issue 2, 15 June 2005, Pages 516-539
Journal: Journal of Mathematical Analysis and Applications - Volume 306, Issue 2, 15 June 2005, Pages 516-539
نویسندگان
L. Olsen,