کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615677 | 1339324 | 2015 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A note on the 1-prevalence of continuous images with full Hausdorff dimension
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the Banach space consisting of real-valued continuous functions on an arbitrary compact metric space. It is known that for a prevalent (in the sense of Hunt, Sauer and Yorke) set of functions the Hausdorff dimension of the image is as large as possible, namely 1. We extend this result by showing that 'prevalent' can be replaced by '1-prevalent', i.e. it is possible to witness this prevalence using a measure supported on a one dimensional subspace. Such one dimensional measures are called probes and their existence indicates that the structure and nature of the prevalence is simpler than if a more complicated 'infinite dimensional' witnessing measure has to be used.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 421, Issue 2, 15 January 2015, Pages 1713-1720
Journal: Journal of Mathematical Analysis and Applications - Volume 421, Issue 2, 15 January 2015, Pages 1713-1720
نویسندگان
Jonathan M. Fraser, James T. Hyde,