摘要
We consider Young's nonuniformly hyperbolic system (X, T, u) where u is the SRB measure corresponding to the system (X, T), and show that if the components of a Holder observable f : X → R^d are cohomologously independent, then f satisfies the multidimensional central limit theorem. Moreover if f is aperiodic, then f satisfies the local multidimensional central limit theorem.
We consider Young's nonuniformly hyperbolic system (X, T, u) where u is the SRB measure corresponding to the system (X, T), and show that if the components of a Holder observable f : X → R^d are cohomologously independent, then f satisfies the multidimensional central limit theorem. Moreover if f is aperiodic, then f satisfies the local multidimensional central limit theorem.