کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9500080 1337469 2005 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Markov structures and decay of correlations for non-uniformly expanding dynamical systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Markov structures and decay of correlations for non-uniformly expanding dynamical systems
چکیده انگلیسی
We consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary dimension, possibly having discontinuities and/or critical sets, and show that under some general conditions they admit an induced Markov tower structure. Moreover, the decay of the return time function can be controlled in terms of the time generic points need to achieve some uniform expanding behavior. As a consequence we obtain some rates for the decay of correlations of those maps and conditions for the validity of the Central Limit Theorem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 22, Issue 6, November–December 2005, Pages 817-839
نویسندگان
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