非线性压缩生成的不变集的Hausdorff维数

摘要

讨论了满足开集条件，且二次可微的一族非线性压缩映射所产生的不变集的Hausdorff维数.%Discusses the Hausdorff dimension of the invariant set which isdetermined by the collection of the second differentiable nonlinear contraction maps satisfying the open set condition.