Devroye inequality for a class of non-uniformly hyperbolic dynamical systems
نویسندگان
چکیده
منابع مشابه
Devroye Inequality for a Class of Non - Uniformly Hyperbolic Dynamical Systems
In this paper, we prove an inequality, which we call " Devroye inequality " , for a large class of non-uniformly hyperbolic dynamical systems (M, f). This class, introduced by L.-S. Young, includes families of piece-wise hyperbolic maps (Lozi-like maps), scattering billiards (e.g., planar Lorentz gas), unimodal and Hénon-like maps. Devroye inequality provides an upper bound for the variance of ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2005
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/18/5/023