Almost Sure Invariance Principle for Nonuniformly Hyperbolic Systems
نویسندگان
چکیده
منابع مشابه
Almost Sure Invariance Principle for Nonuniformly Hyperbolic Systems
We prove an almost sure invariance principle that is valid for general classes of nonuniformly expanding and nonuniformly hyperbolic dynamical systems. Discrete time systems and flows are covered by this result. In particular, the result applies to the planar periodic Lorentz flow with finite horizon. Statistical limit laws such as the central limit theorem, the law of the iterated logarithm, a...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2005
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-005-1407-5