单调递增分形函数上、下界的估计

Mass distribution principle is one of important tools in studying Hausdorff dimension and Hausdorff measure.In this paper we will give a numerical approximate method of upper bound and lower bound of mass distribution function f(x)(it is a monotone increasing fractal function)and its some applications.     

一类非一致双曲系统中“历史集”的Hausdorff维数

本文证明在一类一维非一致双曲系统中Birkhoff均值的商的"历史集"如果不是空集,则它就具有满的Hausdorff维数.