کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904302 | 1633419 | 2018 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Martin-Löf random generalized Poisson processes
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
منطق ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Martin-Löf randomness was originally defined and studied in the context of the Cantor space 2Ï. In [2] probability theoretic random closed sets (RACS) are used as the foundation for the study of Martin-Löf randomness in spaces of closed sets. We use that framework to explore Martin-Löf randomness for the space of closed subsets of R and a particular family of measures on this space, the generalized Poisson processes. This gives a novel class of Martin-Löf random closed subsets of R. We describe some of the properties of these Martin-Löf random closed sets; one result establishes that a real number is Martin-Löf random if and only if it is contained in some Martin-Löf random closed set.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 169, Issue 4, April 2018, Pages 261-276
Journal: Annals of Pure and Applied Logic - Volume 169, Issue 4, April 2018, Pages 261-276
نویسندگان
Logan Axon,