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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات منطق ریاضی
پیش نمایش صفحه اول مقاله
Martin-Löf random generalized Poisson processes
چکیده انگلیسی
Martin-Löf randomness was originally defined and studied in the context of the Cantor space 2ω. 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
نویسندگان
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