有限型子转移的混沌集的Hausdorff维数

The Hausdorff Dimension of Chaos Sets of the Finite Sub Shift System

有限型子转移σＡ：ΣＡ→ΣＡ（其中Ａ是本原方阵），存在σＡ的混沌集Ｄｎ，ｄｉｍＨＤｎ＝ｄｎ，并且当ｎ趋于无穷时，ｄｎ趋于ΣＡ的Ｈａｕｓｄｏｒｆ维数．

Considers the Hausdorff dimension of chaos sets of the sub shift system ( Σ A,σ A), where A is a primitive matrix, and proves that there exists chaos sets D n of Σ A such that lim n→∞ dim H (D n) equals the Hausdorff dimension of the space Σ A.