Higher dimensional multifractal analysis of non-uniformly hyperbolic systems
نویسندگان
چکیده
منابع مشابه
Multifractal analysis of non-uniformly hyperbolic systems
We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville–Pomeau map.
متن کاملSe p 20 08 MULTIFRACTAL ANALYSIS OF NON - UNIFORMLY HYPERBOLIC SYSTEMS
We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville–Pomeau map.
متن کاملJ an 2 00 8 MULTIFRACTAL ANALYSIS OF NON - UNIFORMLY HYPERBOLIC SYSTEMS
We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville–Pomeau map.
متن کاملInvariant Pre-foliations for Non-resonant Non-uniformly Hyperbolic Systems
Given an orbit whose linearization has invariant subspaces satisfying some non-resonance conditions in the exponential rates of growth, we prove existence of invariant manifolds tangent to these subspaces. The exponential rates of growth can be understood either in the sense of Lyapunov exponents or in the sense of exponential dichotomies. These manifolds can correspond to “slow manifolds”, whi...
متن کاملMultifractal Analysis of Hyperbolic Flows
We establish the multifractal analysis of hyperbolic flows and of suspension flows over subshifts of finite type. A non-trivial consequence of our results is that for every Hölder continuous function noncohomologous to a constant, the set of points without Birkhoff average has full topological entropy.
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: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.07.024