Multidimensional local central limit theorem of some non-uniformly hyperbolic systems

作者：Xia Hong Qiang^*

来源：Acta Mathematica Sinica-English Series, 2009, 25(4): 565-580.

DOI：10.1007/s10114-009-7318-1

• central limit theorem
• transfer operator
• nonuniform hyperbolic diffeomorphism

We consider Young's nonuniformly hyperbolic system (X, T, nu) where nu is the SRB measure corresponding to the system (X, T), and show that if the components of a Holder observable f: X -> a (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.

• 出版日期2009-4
• 单位武汉大学