Weak convergence to extremal processes and record events for non-uniformly hyperbolic dynamical systems
نویسندگان
چکیده
منابع مشابه
Speed of convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems
Suppose (f,X , ν) is a dynamical system and φ : X → R is an observation with a unique maximum at a (generic) point in X . We consider the time series of successive maxima Mn(x) := max{φ(x), . . . ,φ ◦ fn−1(x)}. Recent works have focused on the distributional convergence of such maxima (under suitable normalization) to an extreme value distribution. In this article, for certain dynamical systems...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2017
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2017.56