Conditional variational principle for the irregular set in some 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...
متن کاملOn the Uniform Hyperbolicity of Some Nonuniformly Hyperbolic Systems
We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability are necessarily uniformly expanding. We also present a version of this result for diffeomorphisms with nonuniformly hyperbolic sets.
متن کاملLarge Deviations for Nonuniformly Hyperbolic Systems
We obtain large deviation estimates for a large class of nonuniformly hyperbolic systems: namely those modelled by Young towers with summable decay of correlations. In the case of exponential decay of correlations, we obtain exponential large deviation estimates given by a rate function. In the case of polynomial decay of correlations, we obtain polynomial large deviation estimates, and exhibit...
متن کاملSome Examples of Nonuniformly Hyperbolic Cocycles
We consider some very simple examples of SL(2, R)-cocycles and prove that they have positive Lyapunov exponents. These cocycles form an open set in the C topology. Let f : (X,m) be a measure preserving transformation of a probability space, and let A : X → SL(2,R). With a slight abuse of language we call A an SL(2,R)-cocycle over the dynamical system (f,m). Let λ1 ≥ λ2 denote the Lyapunov expon...
متن کاملEkeland's Variational Principle for Set-Valued Functions
We establish several set-valued function versions of Ekeland’s variational principle and hence provide some sufficient conditions ensuring the existence of error bounds for inequality systems defined by finitely many lower semicontinuous functions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2016
ISSN: 1078-0947
DOI: 10.3934/dcds.2016085